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241
UNCLASSIFIED AD NUMBER AD911668 NEW LIMITATION CHANGE TO Approved for public release, distribution unlimited FROM Distribution authorized to U.S. Gov't. agencies only; Test and Evaluation; 13 JUL 1973. Other requests shall be referred to Director, U.S. Army Advanced Ballistic Missile Defense Agency, Huntsville Office, Attn: RDMH-P, P.O. Box 1500, Huntsville, AL 35807. AUTHORITY ABMDA, D/A ltr, 30 Jan 1979 THIS PAGE IS UNCLASSIFIED

Transcript of UNCLASSIFIED AD NUMBER - DTIC · 2018-11-08 · UNCLASSIFIED AD NUMBER AD911668 NEW LIMITATION...

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UNCLASSIFIED

AD NUMBER

AD911668

NEW LIMITATION CHANGE

TOApproved for public release, distributionunlimited

FROMDistribution authorized to U.S. Gov't.agencies only; Test and Evaluation; 13 JUL1973. Other requests shall be referred toDirector, U.S. Army Advanced BallisticMissile Defense Agency, Huntsville Office,Attn: RDMH-P, P.O. Box 1500, Huntsville,AL 35807.

AUTHORITY

ABMDA, D/A ltr, 30 Jan 1979

THIS PAGE IS UNCLASSIFIED

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ATTACHM{ENT 1

FOR

PEPE FINAL REPORT':

PEPE FUNCTIONAL SIMULATION CALIBRATION MODEL

AND

SYSTEM VERIFICATION MODEL DOCUMENTATION

Distribution lltited to U.s. Covet. agencies anl~yTest end Evaluntjon:; 1 3 JUL I137 Ottter ruque&ils

"o do- A z.ýA be refrred to Ar r...." o t • 4o"

0I4 A C C.4 0I-? d C I I hII

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BestAvai~lable

Copy

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.4 I

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*lkI3l ClA*9 NO. / VOL. / Rhl

This document was produced by SDC in performance of contract DAHC60-73-C-0060 m - •o5 /0o

3. alTECHNicAL,ý

R.

R IELEASE >SNENfor A,

'-EC H [N E 1 a •working paper DATE -; . -

System Development Corporation/4810 Bradford Blvd. N. W. May 29, 1973

Huntsville, Alabama 35805

PEPE FUNCTIONAL SIMULATION

CALIBRATION MODEL AND

SYSTEM VERIFICATION MODEL

DESCRIPTIONS

Real-Time Advanced Data Processing

Parallel Element Processing Ensemble

T m n e o b

•[ •; rThis documnent has not been cleared for open publication.

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TABLE OF CONTENTS

1.0 INTRODUCTION 1

2.0 CALIBRATION MODEL 2

2.1 CALIBRATION MODEL HARDWARE 2

2.2 CALIBRATION MODEL SOFTWARE 2

2.2.1 Tactical Action Sequence Chain 4Construction

2.2.2 Tactical Action Sequence Chain Operation 4

2.2.3 Action Sequence Chain Description 5

2.2.3.1 Parallel Routines - Track Host/ 8Track Ensemble Arithmetic System

2.2.3.2 Sequential Routines - Radar 11Interface Processor

2.2.3.3 Correlation Routines - RIP/ 13Track Ensemble Correlation System

2.2.3.4 Correlation Routine - RIP/Guidance 15Ensemble Correlation System

2.2.3.5 Parallel Routines - Guidance Host/ 16Guidance Ensemble ArithmeticSystem

2.2.3.6 Sequential Routines - Sequential 19Processor

2.2.3.7 Correlation Routines - Sequential 20Processor/Guidance EnsembleCorrelation System

2.2.3.8 PHSD Tactical System Control 21

"2.2.3.9 Radar Model 22

2.2.3.10 Threat Model 23

2.2.3.11 Interceptor Model 24

2.2.3.12 Farm Model 25

3.0 SYSTEM VERIFICATION MODEL 26

3.1 SYSTEM VERIFICATION MODEL HARDWARE 26

3.2 SYSTEM VERIFICATION MODEL SOFTWARE 26

3.2.1 Sequential Routines - Host Computer 29

3.2.2 Sequential Routines - Radar 29Interface Computer

3.2.3 Parallel Routines - PEPE Arithmetic 30System

i a I I I I I ! i

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Table of Contents (Continued)

Page

3.2.4 Parallel Routines - PEPE Associative 32Output System

3.2.5 Correlation Routines - PEPE 33Correlation System

•_=_-:L*

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0

LIST OF FIGURES

Figure Page

1 32 Tactical Action Sequence Chain Mapping for theTRACK and RADAR Interface Processor3 Tactical Action Sequence Chain for the Sequential 7and Guidance Processor

4 MSI PEPE/HOST Hardware Configuration 275 MSI PEFE/HOST Tactical Function Software 28Configuration

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1.0 INTRODUCTION

The PEPE Simulation Project has had the responsibility of validating the

design of the MSI PEPE by functional simulation. This validation was

achieved by demonstrating that the performance characteristics of the

MSI PEPE are superior to those of the IC design used in the PHSD demon-

strations. Toward achieving design validation, two functional simulation

models were constructed; a Calibration Model and a System Verification

Model. The purpose of this document is describe the functions performed

by the action sequence chains that comprise these two models.

The Calibration Model is a functional simulation model of the PHSD tactical

process, as it was designed and operated for the PHSD demonstrations. The

purpose of the Calibration Model is to adjust the simulation parameters

to produce simulator results equivalent to the PIISD experimental data as a

first step to validating the System Verification Model. The System Verifi-

cation Model is a functional simulation model of the PHSD tactical process

designed to operate on the HSI PEPE Hardware configuration. The purpose of

the System Verification Model is to obtain performance data for the MSI

Model PEPE for validating the MSI Model design. Both models were constructed

to operate under the supervision of the PEPE Functional Simulation System

(PEPSIE) described in, TM-HU-44/400/00, User's Manual for PEPE FunctionalSimulation System and PEPE Process Construction System. Both models used

the CDC ENLODE2 data management system for data base definition and run

time data management functions.

_I

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2.0 CALIBRATION MODEL

The Calibration Model consists of a PHSD tactical software system,

PHSD tactical system control, ard radar, threat, interceptor track,

and interceptor farm models. In the actual PHSD implementation, the

functions performed by the radar, threat, interceptor track,

and interceptor farm models were performed by the SACS simulation system

located at General Research Corporation, Santa Barbara, California. The

PHSD tactical software system and tactical control were performed on real

and simulated processors at Bell Telephone Laboratory, Whippany, New Jersey.

2.1 CALIBRATION MODEL HARDWARE

The Calibration Model tactical system hardware (Figure 1) is a

four-processor, CLC-like maltiprocessor with a shared Host memory.

Two processors serve as Hosts for PEPE ensembles. One PE.-C Host

ensemble with 100 elements is dedicated to target trackinj- tasks;

the other with 16 elements is dedicated to intercept plar:ing, tracking,

and guidance. The Host processors are required for PEP!. Arithmetic Systems

because the IC Model PEPE Arithmetic Control Units have no stored program

capability. Parallel instructions must be sent from the Host to PEPE;

sequential instructions are executed in the Host. Therefore, these

combinations are treated as one logical unit. The IC Model PEPE

Correlation System does have a stored program capability and can operate

independent of its "Host", and therefore can be treated as separate

facilities. The remaining two processors, the Radar Interface Processor

(RIP) and the Sequential Processor, are used for sequential tasks.

This hardware is represented in the model by six PEPSIE facilities which

are seized by tactical tasks operating in the processors.

The Calibration Model radar and interceptor farms are represented

by PEPSIE action sequence chains only. Since these functions are not

being calibrated, there is no necessity to gather data un hardware usage.

2.2 CALIBRATION MODEL SOFTWARE

The following description of the Calibration Model software con-

sists of a description of how tactical action sequence chains were

constructed and operated and a short description of each action sequence

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CALIBRATION MODEL

THREAT INTERCEPTOMODEL MODEL

RADARFARMS

ELEMENT~~OS MEOR ELMETEMR

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chain in the model. These descriptions are not intended to completely

describe the PHSD implementation being modeled; rather they attempt to

point out any differences in implementation between the system being

modeled and the model. (For a complete sumuary of the system being

modeled, see Section 6, Volume 2, Part 1 of the Ballistic Missile

Defense Advanced Development Program Advanced Data Processing Report

dated September 30, 1971, prepared by Bell Laboratories.)

2.2.1 Tactical Action Sequence Chain Construction

Tactical action sequence chains consist of two parts; data mani-

pulation code and a time model. The data manipulation code ensures

that the model programs operate in the same sequence and obtain the

same results as programs in the system being modeled. The time model

calculates the amount of time it takes for a program to operate.

Time models for tactical routines in the Calibration Model were

constructed by classifying all instructlons into basic categories.

Then the actual code for each program in the system being modeled

was examined and the number of instructions in each basic category

in each program region was counted. If a region was conditionally

operated, its inclusion in the time model was also conditional. The

time models were then installed in calibration model action sequence

chains with counters and flags embedded in the data manipulation code

to indicate which regions operated each time a program was run.

2.2.2 Tactical Action Seguenze Chain Operation

During system initialization, average operate time for each basic

class of instruction is set. These times were computed for PEPE instruc-

tion classes based on the hardware design goal speeds and on the actual

mix of instructions within each category operated during PHSD runs.

For sequential processor instructions, time was based on the theoretical

speed of processors used in PHSD runs. These times are then combined

4 with action sequence chain time models to compute operate times for

each region in the action sequence chain.

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During each operation of an action sequence chain, simulation initializa-

tion is performed first. This seizes any required facilities and

clears the counters and flags which indicate activity for each operation.

Next the data manipulations which drive the tactical system are per-

formed. This includes flagging events and making counts to which

the time model is sensitive. Then the actual delay for this operation

is computed by combining program activity with computed delays for

program regions. The seized facilities are held for this amount of

time by calling the PEPSIE delay function one or more times. Finally

tactical and simulation terminal code is performed. The tactical

code includes any actions which cannot be done until a routine is

ready to finish, such as enabling successor routines. Simulation

terminal code triggers any hardware activated successor routines,

releases seized facilities, and returns control to PEPSIE.

2.2.3 Action Sequence Chain Description

Following are descriptions of the tactical action sequence chains

which are used in the Calibration Model. The action sequence chains

are grouped in categories determined by the hardware facility or facilities

on which they operate. This mapping is shown in Figures 2 and 3 for

the farm processors in the Model.

- i

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TRACK HOST RADA 1'TEFAC. _4

REAL TIME EXECUTIVE PRCSOREAL TIME EXECUTIVE

RADAR ORDERGENERATION

RADAR RETURNSASSIMILATION

TRACK ENSEMBLE TREAC O E SEMB GUIDANCE ENSEMBLEARITHMETIC SYSTEMCREATO YTM CORRELATION SYSTEM

PULSE ALLOCATION CORRELATION INTERCEPTOR RETURN

TRACK INITIATION TRACK INITIATE CORRELAT IONRETURN CORRELATION

TARGET TRACK TRACK RETURNPROCESSING CORRELATION

IMPACT POINT SPECIAL ACQUISITIONPREDICTION RETURN CORRELATION I

INTERCEPTOR PULSEREQUEST CORRELATION V

TRACK ENSEMBLE GUIDANCE ENSEMBLEELEMENT MEMORY ELEMENT MEMORY

FIGURE 2. Tactical Action Sequence Chain Mapping forthe TRACK and RADAR Interface Processor

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SEQUENTIAL PROCESSOR

REAL TIME EXECUTIVE

FARM RETURN REAL TIME EXECUTIVEASSIMILATION

KILL ASSESSM7NT

BATTLESPACEDETERMINATION

/I

GUIDANCE ENSEMBLE GUIDANCE ENSEMBLECORRELATION SYSTEM ARITHMETIC SYSTEM

FARM RETURNCORREATIONINTERCEPT PLANNINGCORRELATIONCONTROL

NEW THREATCORRELATION INTERCEPT PLAN

SELECTIONTARGET STATEVECTOR UPDATEMISLCOTLCORRELATIONINECPOTRK

INTRCETORPULSERQETOUTPUT

GUIDANCE ENSEMBLETELEMENT MEMORY

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5/29/73 -26- TH-HU-0481505100

3.0 SYSTEM VERIFICATION MODEL

The System Verification Model was constructed by perturbing the

Calibration Model in order to map the PHSD process onto the newly

designed PEPE MSI hardware/Host configuration.

3.1 SYSTEM VERIFICATION MODEL HARDWARE

The System Verification Model tactical system hardware (Figure 4)

consists of a single processor Host (CDC 7600), a Radar Interface

Computer, and one 200-element MSI PEPE ensemble. The PEPE ensemble

consists of an Arithmetic System, an Associative Output System, a

Correlation System, and a shared Element Memory. The Host, RIC, and

PFPE Arithmetic Control Unit are interruptable; the PEPE Associative

Output Control Unit and Correlation Control Unit are not. These hard-

ware elements are represented in the model by six PEPSIE facilities;

one each for the Host, the RIC, the three PEPE processing systems,

and a shared facility representing Element Memory. In this model,

interrupts of the Arithmetic Control Unit by the Correlation Control

Unit and the Associative Output Control Unit and the effect of shared

Element Memory on memory access time are modeled.

3.2 SYSTEM VERIFICATION MODEL SOFTWARE

In the following description, action seqeunce chains are described

in terms of changes made in converting from the Calbiration Model to the

System Verification Model. Tactical action sequence chains are grouped

in categories determined by the hardware facility on which they operate

(Figure 5).

One major change is the incorporation of SIM2 version of the BMD

Real-Time Operating System in the model. Since this system is fullydescribed in TM-HU-043/200/O0, Software Design Specification for Real-

Time (RMD) Operating System, no attempt is made to describe it here.

The Radar Model, Threat Model, Interceptor Model, and Farm Model

are functionally unchanged. Communication between these models and

the tactical system is modeled in much greater detail and with more

accuracy than was the case in the Calibration Model.

- • "' -"'-i -- - ---- -- trt-n |t:•'¶= "

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SYSTEM VERIFICATION MODEL , - - ,- - - 4'.r-....-,

.A THREAT I INTERCEPTOR ' )MODEL MODEL

r -

I Ia

-g '---" A_ --I-- J

I I RADAR )I FARMS f ,D I/

-I V

I I/ a .,/

LCHANNEL I II CHANNEL, II IL- XI "L----J

HOST COMPUTER RADAR INTERFACECOMPUTER

14,,i--~ -I " "'-n A ' "r-S.. ... ,( • , --4- ,- ---

Iii'11} a' ,'CHANNEL I CHANNEL ICHANNEL ICHANNEL I CHANNEL

Il, 1/ ICAEL ,SI -,-- . . . . _--, L I

I I --- - ILS

PEPE PEPEARITHMETIC ASSOCIATIVE PEPE

SYSTEM OUTPUT CORRELATIONSYSTEM SYSTEM

F 4ELEMENT MEMORY

' ~FIGURE 4. MSI PEPE/HOST Hardware Configuration

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5/29/73 -28- Tm4 f-048/505/00

TO/FROM HO T"I J i RADAR INTERFACE COMPUTER

RI I RADAR ORDER GENERATION

RADAR RETURNS ASSIMILATIONt I II I

II I / • • / • /

SI I " / I

SI I I II /

- I I CHANNEL , , CHANNEL- jI *L...!~-- "- IT "

S. I I l !

PEPE ARITHMETIC PEPE ASSOCIATIVE PEPE CORRELATIONSYSTEM OUTPUT SYSTEM SYSTEM

INTERRUPT HANDLER INTERRUPT HANDLER INTERRUPT HANDLER

TARGET TRACK PULSE ALLOCATION SURVEILLANCEPROCESSING CORRELATION

INTERCEPTOR TRACK TRACK INITIATEPROCESSING RETURN CORRELATION

MISSILE CONTROL TRACK RETURN

IMPACK POINT CORRELATION

PREDICTION SPECIAL ACQUISITION

INTERCEPT PLANNING RTR ORLTOCONTROL INTERCEPTOR RETURN

BATTLESPACE CORRELATION

DETERMINATION FARM RETURN

INTERCEPT PLAN CORRELATIONSELECTION

ELEMENT MEMORY

FIGURE 5. MSI PEPE/HOST Tactical Function Software Configuration

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3.2.1 Sequential Routines - Host Computer

PEPE Sterter Routines (HOST) - (new routine)

Scheduling of PEPE Arithmetic System and PEPE Associative Output

System is handled through the Host. When it is time to operate

a PEPE routine, one of the PEPE Starter Routines is operated. This

routine makes up a message which is sent to the proper PEPE controller

where it is processed by an interrupt handler.

Farm Message Initial Processing (FARMM) - (new routine)

FARM operates each time a farm communication messages is received from

PEPE. It moves the message from an input buffer where it was stored

by the BMDOS to a Host data set where it will be processed by Farm

Comimunication Control.

Farm Crmmunication Control (IPREX) - (modified)

IPREX operated in the Guidance Ensemble Arithmetic System where it

monitored interceptors to determine if a ftrm communication or pulse

request was required. The pulse request func..ion has been incorporated

in Pulse Allccation. The farm communication function is now accomplished

by monitoring farm messages passed from PEPE. These messages are passed

to the Farm Model, and a Missile Launch Sequence Request is initiated

at a specified period before launch time. IPREX operates on a cyclic

basis.

Farm Return Assimilation (FRMAS) - (modified)

FRMAS operated in the Sequential Processor. It is functionally unchanged

but has been modified to use the new data coununication procedures

( both in receiving the data from the farm and passing it to PEPE.

3.2.2 Sequential Routines - Radar Interface Computer

Interrupt Handler (RIC)- (new routine),

On receipt of messages, RIC schedules programs which operate in the

Radar Interface Computer. Radar Order generation is operated when

a pulse allocation message is received from the PEPE Associative Output

System; Radar Return Assimilation is operated when returns are received

from the radar.

00I I I I I II I -

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Radar Order Generation (GENER) - (modified)GENER no longer handles Larm communication messages and no longer schedules

itself and Radar Return Assimilation. GENER has also been modified

to use the new data communication procedures.

Radar Return Assimilation (ASSIM) - (modified)

ASSIf no longer handles farm communication messages and has been modifiedto use the new data communication procedures both in receiving returns

from the radar and sending them to the PEPE Correlation System.

3.2.3 Parallel Routines - PEPE Arithmetic S stem

The PEPE Arithmetic System consists of an Arithmetic Control Unit (ACU)

and an Arithmetic Unit (AU) in each PEPE element. The new ACIJ has

program and data memory; therefore, it no longer requires a Hcst computerto send instructions to it. Also, it is interruptable. This feature

allows low priority tasks to be operated as backgrolud tasks. Operationof these tasks is started when the ACU is idle, interrupted when ahigh priority task is scheduled, and resumed when all scheduled high

priority tasks have completed operation. The high priority tasks are

Target Track Processing, Interceptor Track Processing, and MissileControl. In addition to scheduled tasks, the PEPE Arithmetic Systemalso performs floating point computations requested by tasks operating

in the PEPE Correlation System and the PEPE Associative Output System.

These computations are high priority and interrupt any task operating

in the Arithmetic System except the Interrupt Handler.

a Inderrupt Handler (ACU) - (new routine)

Upon receipt of a message, ACU schedules a task to be run in the PEPEArithmetic System. If the system is idle, operation of the task 4simediately initiated. If a low priority task is operating and the

new task is high priority, operation of the low priority task is suspended.

The low priority task is placed second in the task list and operation

of the high priority task is initiated. If the new task is low priority

or if a high priority task is operating, the new task is placed in

the task list in priority order to be operated as soon as possible.•1I I I I I I I I II I I I I I I I I III I I I I I I

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Target Track Processing (TRYPRO) - (modified)

Since there is only one PEPE ensemble in this model, it is no longer

necessary for TRKPRO to pass newly updated target track data to the

Guidance Ensemble. Therefore, this function is eliminated and the

routine which processed the data (TSVCO) has been dropped. It is still

necessary for TRKPRO to coordinate dropping of target tracks with Intercept

Planning Control but this function no longer requires inter-ensemble

communication. The functions performed by Track Initiation (TRKINI) in the

calibration model have been incorporated into TRKPRO, and TRKINI is no

longer scheduled as a separate task.

Interceptor Track Processing (MITRK) - (unchanged)

Missile Control (GIDNC) - (unchanged)

Impact Point Prediction (IMPPT) - (modified)

In the Calibration Model, only one iteration of target prediction was

performed during each operation of IMPPT to ensure that higher priority

tasks did not miss deadlines for operation. In this model, IFPT is a

low priority, interruptable task. Therefore, it now completes threat

discrimination for all eligible objects during one operation. Since

there is only one PEPE ensemble in this model, it is no longer necessary

to pass data on newly detected threatening objects to the Guidance Ensemble.

k IMPPT now performs any initialization necessary and the routine which

previously performed this function (NSVCO) is no longer operated as a

separate task.

Intercept Planning Control (INCTL) - (modified)

INCTL operated in the Guidance Ensemble in the Calibration Model;

it is a low priority, interruptable task which is operated on a cyclic

basis in this model. Since it is interruptable, the Kill Assessment

function has been incorporated into INCTL. This is a time consuming

tasks which operated in the Sequential Processor in the Calibration

Model. This change required changing the time model for Kill Assess-

ment from a sequential process to a parallel process.

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Battlespace Planning (BTLSPC) - (modified)BTLSPC is a time consuming process which operated in the Sequential

Processor in the Calibration Model. It operates as a low priority,

interruptable task in the PEPE Arithmetic System in this model. This

change required a change in the time model to reflect the change from

a sequential process to a parallel process and also the elimination

of the passing of data between two facilities. The functions performed

by BTLSPC are unchanged.

Intercept Plan Selection (INTSEL) - (modified)

In the Calibration Model, only one iteration of target prediction was

performed during each operation of INTSEL. This required INTSEL to

enable itself if fractricide could not be resolved for any threatening

object under consideration. In this model, INTSEL is a low priority,

interruptable task. Therefore, it now completes fractricide resolution

for all objects under consideration during one operation.

3.2.4 Parallel Routines - PEPE Associative Output System

The PEPE Associativt Output System consists of a central Associative

Output Control Unit (AOCU) and an Associative Output Unit (AOU) in

each PEPE element. This system did not exist in the Calibration Model

hardware; its functions were performed in the PEPE Arithmetic System.

The AOCU is not interrupeable; input messages cannot be processed until

a task operating in the AOCU has completed operation.

Interrupt Handler (AOCU) - (new routine)

Upon receipt of a message from the Host, AOCU initiates operation of

a task to be run in the PEPE Associative Output System. In this model,

the only task to be run is Pulse Allocation.

Pulse Allocation (ALLOC) - (modified)

In the calibration model, interceptor track pulse requests were passed

from the Guidance Ensemble and stored in an empty element in the Track

Ai Ensemble. It is not necessary to pass data between two ensembles in

this model, but it is necessary to move interceptor track pulse requests to

" -- ' • " :. -• . . . . • :" :i• . . . . -l ... ... ... . . ... ..... ... -... . . . .-. ... . .i ... ." . . .: .. ..

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elements which do not contain target track pulse requests so that pulse

allocation can be performed as a parallel process. This function is

performed in ALLOC. The routines which performed it in the Calibration

Model (a portion of IPREX and IPRCO) are no longer scheduled as separate

tasks. In this model, ALLOC enables Interceptor Track Processing, Target

Track Processing, and Missile Control to operate in the PEPE Arithmetic

System by sending a time event message to the Host. ALLOC itself is

enabled by Missile Control as soon as it finishes operation.

3.2.5 Correlation Routines - PEPE Correlation System

The PEPE Correlation System consists of a Correlation Control Unit

(CCU) and a Correlation Unit (CU) in each PEPE element. The CCU is

not interruptable; input messages cannot be processed until a task

operating in the CCU has completed operation. In the Calibration Model,

all correlation routines were scheduled througb the RIP by Radar Return

Assimilation or Farm Return Assimilation and operated in order by priority.

In this model instead of being scheduled, routines to process messages

are operated as messages are received.

Interrupt Handler (CCU) - (new routine)

Upon receipt of a message from the RIC or from the Host, CCU initiates

the operation of the requested task.

Surveillance Return Correlation (SURCO) - (Unchanged)Track Initiate Return Correlation (TRICO) - (Unchanged)

Track Return Correlation (TRKCO) - (Unchanged)

Special Acquisition Return Correlation (SASCO) - (Unchanged)

Interceptor Return Correlation (IN, CO) - (Unchanged)

Farm Return Correlation (FRMCO) - (Unchanged)

IL

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/

I' •)S____________W. H. PatterronR. D. SidnamJ. DingeldineA. Barrett

J. CoxnellR. C.-MuellerM. KurztiH. MartinJ. Evensen

I s. KuflikFile (5)

R. Pennington

iI

'1

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SERIES BASE MO / VOL. / PCISSUl

This document was produced by SDC In performance of contract DIC60-72-C0031 0; MD., D. Rgdie

TECHNICAL '.R. D.'SQdam

frJr A. Cornell

t ea working paper 3A0o G. Hatisen PAE

System Development Corporation/4810 Bradford Blvd. N. W. 2-22-73i Huntsville, Alebama 35805

PEPE FUNCTIONAL SIMULATION

CALIBRATION MODEL

DETAILED TEST PLANS

This docurr.ent has not been cleared for open publication.

A • M 0/??)

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4

2/22/73 i1ni-HU-048/500/00

TABLE OF CONTENTS

Page

1.,0 INTRODUCTION

1.1 Related Documents

2.0 OBJECTIVE

3.0 SCOPE OF CALIBRATION TESTS

4.0 LIMITATIONS

5.0 CALIBRATION MODEL

5.1 PHSD Hardware Configuration

5.2 PHSD Software Configuration

5.3 Calibration Model

5.3.1 Calibration Model - BMD Effectiveness Tests

5.3.2 Calibration Model - Performance Tests

5.3.2.1 Programs Included in Calibration Model

5.3.2.2 Programs Not Included in Calibration Model

6.0 CALIBRATION TESTS

6.1 Type I Tests - BMD Effectiveness Tests

6.1.1 Acceptance Criterion

6.1.2 Type I Tests - General Description

6.1.3 Equipment Configuration

6.1.4 Search Volume

6.1.5 Tracking Rate

6.1.6 Test Sequence

6.1.7 Test I Test - Detailed Test Plans

6.1.7.1 Test 1

6.1.7.2 Test 26.1.7.3 Test 3

6.1.7.4 Test 4

6.1.7.5 Test 5

6.1.7.6 Test 6

6.1.7.7 Test 7

6.1.7.8 Test 8

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6.2 Type 11 Test - Component Calibration Tests

6.2.1 Test 9 - Pulse Allocation

6.2.1.1 Test 9.1 - Parallel (AU) Time - 1 mip PEPE

6.2.1.2 Test 9.2 - Parallel (AU) Time - .5 mnp PEPE

6.2.1.3 Test 9.3 - Total Run Time

6.2.2 Test 10 - Track Initiation

6.2.3 Test 11 - Target Track Processing (TRKPRO)

6.2.3.1 Test 11.1 - Parallel (AU) Time - 1 mip PEPE

6.2.3.2 Test 11.2 - Parallel (AU) Time - .5 mip PEPE

6.2.4 Test 12 - Interceptor Track Processing (MITRK)

6.2.3.1 Test 12.1 - Total Run Rime

6.2.3.2 Test 12.2 - Parallel (AU) Time - 1 mip PEPE

6.2.3.3 Test 12.3 - Parallel (AU) Time - .5 mip PEPE

6.2.5 Test 13 - Guidance

6.2.6 Test 14 - Intercept Planning Control

6.2.7 Test 15 - PEPE Accumulation Interval

6.3 Type III Tests - Mission Profile Calibration Test

6.3.1 Test 16

6.3.2 Test 17

6.3.3 Test 18

Appendix A - PHSD Experiments

Appendix B - Calculation of the Pulse Allocation Calibration Limits

Appendix C - Calculation of the Target Track Processing (TRKPRO)

Calibration Limits

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1.0 INTRODUCTION

The PEPE simulation project is charged with the responsibility of developing

a high level functional simulation model* of the PHSD tactical process oper-

ating on the MSI PEPE/CDC-7600/RIC equipment configuration. This model will

be used to validate the design of the MSI PEPE.** i

The approach being used for the development of the SVM model is to (1) con-struct a simulation model of the PHSD tactical process operation on the PEPE

equipment configuration used for the PESD demonstration back in September 1971;

(2) calibrate (or tune) the model so that its performance is the same, within

prescribed limits, as that experienced by PEPE IC design; and (3) then perturb

or modify the simulation model to reflect the operation of the PESD tactical

process on the MSI configuration. The data obtained from the perturbed model

will be used to determine the performance characteristics of the MS1 PEPE

(in a PHSD tactical situation).

The purpose of this document is to specify the tests that must be performed

and the criteria that must be satisfied to calibrate the model of the PHSD

tactical process operation on the PHSD equipment configuration.

1.1 RELATED DOCUMENTS

The detailed test plans and the results of the PEPE functional simulations are

presented in a set of four related documents. These documents are:

PEPE Functional Simulation Calibration TM-HU-048/500/00Model - Detailed Test Plans

* This model is called the System Verification Model (SVM). The SVM haralso been called the Version One Functional Simulator.

** The designation MS1 PEPE may be ambiguous since both the two controllerand three controller PEPEs have been called MST at various times. Atone time, the term MS1 designated the speed of a two controller PEPE(i.e., .5 mip PEPE with IC-like design). In this document, the MSTdesignation will only be used to designate the three controller PEPEcurrently being designed. The terms "IC PEPE" or "PEPE IC DESIGN" willbe used to designate the two controller PEPE. Also, the terms "IC PEPE"will not by itself designate any particular mip rating. Thus, the twocontroller .5 mip PEPE will be called the .5 mip IC PEPE.

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PEPE Functional Simulation Calibration Model -Calibration Test Results TM-HU-048/501/O0

PEPE Functional Simulation System VerificationModel - Detailed Test Plans TM-HU-048/,502/O0

PEPE Functional Simulation System VerificationModel - SVM Test Results TM-HU-048/503/00

2.0 OBJECTIVE

The objective of the calibration test plan is to devise a set of tests and

associated acceptance criteria that can be used to determine whether or not

the simulation model is calibrated to the PHSD tactical process operating on

the PEPE IC equipment configuration.

3.0 SCOPE OF THE CALIBRATION TESTS

The scope of the calibration tests must keep in mind the purpose or objective

of the calibrated model. Since the calibrated model is going to be used as

a baseline simulator which is subsequently modified (perturbed) to reflect

the operation of the PHSD tactical process on the MSI PEPE, the scope of

the test plan should include tests for functions whose implementation (on

the MSI PEPE) is reasonable close to the implementation on the IC PEPE or

for functions which directly affect system performance. For example, a

function which was implemented as pure sequential in the IC system but which

will be implemented as a parallel process in the MSI system and which does

not affect system capability would be considered out of the scope of the

calibration tests. The specific functions to be calibrated are identified

in Section 5.

4.0 LIMITATIONS

In addition to the overall objective of the simulation project, the scope

of the calibration model must take into consideration the realities of the

real world. One of these realities is the availability of experimental

data.

From the last of August until the plug (on the PEPE simulation system at

Whippany, N.J.) was pulled in October 1971, a number of PHSD experiments

were performed and a large amount of data was accumulated (None of which was

required by contract). All of the summary data obtained from these exper-

iments was indexed by the number of objects in early or precision track.

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For several reasons, primarily the availability of manpower, computer time

and calendar time, it was not possible to collect experimental data for all

4 programs in the desired manner.

The experimentalists have, however, collected program execution data for

some programs for certain conditions from the hard copy time lines. This is

a laborious process which requires a painstaking reconstruction of the exper-

imental situation. The time line printout only gives total execution time

(scaled) and thus one cannot divide up this time into its various parallel

and sequential components.

5.0 CALIBRATION MODEL

5.1 PHSD HARDWARE CONFIGURATION

The hardware configuration for the PHSD system is shown in Figure 1. Basically,

it is a four-processor multiprocessor configuration in which two of the sequen-

tial processors are augmented by a PEPE ensemble. All four sequential processors

share a common memory. One of the sequential processors, the Radar Interface

Computer (RIC), is a special purpose computer. The other three processors

are identical. The RIC is rated at a nominal 6 mips. The other sequential

computers will be rated at 2.4 or 6 mips depending on the particular test

being performed. The sequential computers are assumed to have fast memory

modules which are used to store PEPE programs and data. These memory modules

are assumed to have a sustained transfer capability of one 32-bit word every

100 ns.

Two of the sequential processors have been augmented with PEPE ensembles.The PEPE ensembles are the two controller variety (ACU and CCU). The PIPEensembles will be rated at either .5 mip or 1 mip depending on the test being

performed.* Instruction and data are assumed to move between the Host and

PEPE at a sustained rate of one 32-bit word every 100 ns. All format

* The PEPE mlp ratings are somewhat confusing and chould be clarified. ThePIPE mip rating usually indicates the speed of the parallel arithmetic instruc-tions. BTL rated the 16-element IC model at .25 mip. The published designgoals for BTL's MSI PEPE was .5 nip or twice as fast as the IC model. BTL'sMIS PEPE with a high speed multiply, was still referred to as a .5 mip computer(SDC called this version the MSI PEPE). The 1 mip PEPE is four times as fast asthe IC Model.

In this document, the 1 mip PEPE is the one that is four times as fast as theIC Model. The .5 mip PEPE refers to BTL's MSI PEPE with a high speed multiplyand therefore is acually faster than .5 mip PEPE.

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conversion (e.g., conversion of Hoat integer to PEPE integer, conversion of

PEPE logical to Host logical) is performed by hardware and is considered tobe part of the interface unit between the Host and PEPE.

S~MEMORY ,

IUI

PHSD Hardware Configuration

Figure 1

5.2 PHSD SOFTWARE CONFIGURATION

The PHSD software configuration is shown in Figure 2. This figure showsthe mapping of PHSD programs onto the data-processing resources. The radar-return assimilation, radar-order generation and the target-tracking-relatedcorrelation programs operate on the RIC. Radar pulse allocation, targettrack processing (Kalman filter), track initiate, and impact point predictionoperate on the track PEPE-Host combination. Pulse allocation handles allradar pulses; i.e., search, target, and interceptor. Interceptor track pro-ceasing, interceptor planning control, interceptor plan selection, guidance,etc., operate on the guidance PEPE-Host combination. Pattlespace determina-

Vol tion, kill assessment, farm-return assimilation, interceptor-return correla-tion, etc., operate on the third sequential processor.

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* 5.3 CALIBRATION MODEL

The calibration tests have been divided into two classes; those tests which

exercise PHSD tactical logic and are performance free, and performance

related tests (See Section 6). The scope of the calibration model depends

on the type of test being performed.

5.3.1 Calibration Model - BMD Effectiveness Tests

The scope of tP- calibration model for all BMD effectiveness tests is the

same as that for the PHSD experiment; that is, the hardware model as shown

in Figure 1 and the software system as shown in Figure 2.

COMMON MEMORY

RIC Track Processor Guidance Processor Sequential Processor

Radar Return Track Initiation 'interceptor Track I Battlesapce Deter-Assimilation t Processing mination

RadarOrderTarget TrackIrProcessing Guidance Kill Assessment

Generation PCorrelation Programs Pulse Allocation I Interceptor Pulse Farm Return

I Request Ext. 1 AssimilationImpact Point- Track Prediction jInterceptor !Interceptor Return- Surveillance Planning Control Correlation

- Special acq. ;Interceptor Plan New Threat andSelection Correlation

- Track Initial Farm Return State Vector

- Interceptor Pulse Correlation Correlation

Request

Figure 2. PHSD Software Configuration

5.3.2 Calibration Model Performance Tests

The calibration model for the performance related calibration tests is a sub-

set of the PHSD experimental model. The scope of the subset model is deter-

mined primarily by two factors: (1) the objectives of the PEPE simulation

effort and C2) the availability of test data.

5.3.2.1 Programs Included in Calibration Model. All of the remaining PHSD

programs will be incorporated into the calibration model. They include the

following:

SA'

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a. Track Ensemble

1. Target track processing (TRKPRO)

2. Track initiation (TRKINI)

3. Pulse Allocation (ALLOC)

b. Guidance Ensemble

1. Guidance (GIDNC)

2. Interceptor track processing (MITRK)

3. Intercept planning control INCTL)

A careful analysis of these programs shows that the program execution time

for most programs is not a function of the number of objects in early or

precision track, but some other variable. Table 5.1 shows the independent

system variables for each of the programs included in the calibration model.

The data collection (for calibration purposes) for those programs whose

execution time is not a function of the number of objects in early or pre-

cision track is mucht more difficult because (1) no summary data is available

and (2) the only data available is the total (scaled) execution time. One

cannot separate this time into various components; e.g., sequential RTOS,

sequential tactical, PINIT time, and parallel time. Thus, the calibration

tests for these situations are necessarily more limited.

PROGRAM INDEPENDENT SYSTEM VARIABLE

ALLOC a. Number pulses processed.

b. Number objects in early or precision task.

c. Length of accumulation interval.

TRKINI a. Track initation - 0 objects

b. Track initation - 1 or more objects

TRKPRO a. Number of objects in precision track.

INCTL a. One pass through the program.

MITRK a. Independent of all system parameters

GIDNC a. No data.

b. Element initialization.

c. Performing guidance.

d. b+c.

Independent System Variables for Calibration Programs

Table 5.1

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5.3.2.2 Programs Not Included in Model. Using the above guidelines, the

following programs will not be included in the calibration model for perfor-

mance related calibration tests for the reasons cited:

L. Correlation Programs

The data gathering system for the PHSD experimental systems did

not have any dynamic data gathering capability for the correlation

programs. The estimated run time for each correlation program was

a pre-calculated constant and was based on the most frequently

executed path through each program. Calibration in this case

would be trivial since one merely has to include a "delay x time

units" statement in each correlation program. The PUSD correlation

programs are:

Track correlation (TRKCO)

Special acquisition correlation (SASCO)

Surveillance return correlation (SURCO)

Interceptor pulse request correlation (IPRCO)

Track initiate correlation (TRICO)

Farm return correlation (FRNCO)

Interceptor return correlation (INTCO)

New state vector correlation (NSVCO)

Target state vector correlation (TSVC)

SURCO does, however, interrupt the ACU for the proper amount of

time. This time will be accounted for in the calibration of the

track processing parallel programs that are interrupted; e.g.,

pulse allocation.

b. Purely Sequential Programs

The programs executed in the Sequential Processor will not be

included in the calibration model for two reasons; lack of data

and the fact that the implementation design for these programs on

the MSI PEPE (three controller) will be completely different than

that used on the two controller IC PEPE. The sequential programs

outside the scope of the calibration model are:

(1) Battlespace Determination (BTLSPC)

Battlespace determines the highest point on the trajectory pre-

dicted for a threatening object at which intercept is possible.

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The execution time of the program depends on the geometry of

the object since the program must iterate to determine the

highest intercept point. Thus, the independent variable for

Battlespace should include height of the object, number of

iterations or some other geometric variable. Recording

execution time as a function of the number of objects in early

or precision track is clearly meaningless.

One time that might be measured is the average total execution

time for a given mission; however, this would require a radar

model with additional geometric capabilities.

(2) Kill Assessment (INgEST)

Kill Assessment determines whether or not an intercept against

a radar attacker is successful. INQEST will not be included

in the calibration model for several reasons; (1) there is

very little data available on INQEST's program run time,

(2) the available data is indexed by the wrong variable, (3)

it is difficult for the two dimensional radar model to dupli-

cate the three dimensional characteristics required for Kill

Assessment and (4) the implementation on the MSI PEPE will be

different.

(3) Farm Return Assimilation (FRMAS)* The Farm Return Assimilation program operates in the Sequential

Processor and does not influence PEPE performance characteristics,

and is therefore considered to be outside the scope of the cali-

bration model.

c. RIC Programs

* The RIC is a non-existent paper machine in PHSD. It was assumed to

be "as fast as necessa-y" so that the RIC would never become the

system bottleneck. Therefore, it is only necessary that the RIC

programs; Radar Return Assimilation (PHAST) and Radar Order Gener-ation (GENER), operate fast enough so that the RIC does not become the

limiting factor in system performance.

Since PHSD system scheduling does not depend on the execution time

of PRAST and GENER (provided they are reasonably small), no specific

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calibration tests have been developed for the RIC programs. It is,

however, suggested that these programs should be tuned so that their

run time is reasonably close to that observed in PHSDI

d. Guidance Ensemble

One of the guidance ensemble programs, Interceptor Pulse Request

Fxtraction (IPREX), functioned primarily as a communicator between

the guidance and track ensembles and will not be included in a

single ensemble configuration. Its other function of creating

data set entries for communications with the missile farms will

be incorporated into other programs in the MSI implementation.

Another guidance ensemble program, Intercept Plan Selection (INTSEL),

will not be included in the calibration model for three reasons;

(1) availability of data, (2) scope of the radar model, and (3)

different MSI implementation.

The execution time f or the Intercept Plan Selection Program depends

on the number of program iterations. The number of iterations

depends on the resolution of any detected fratricide condition.

The liklihood of failing a fratricide test depends on the geometry

of the incoming RV and the history of the engagements (i.e., loca-

tions of the planned intercept points on all previous intercept

plans). Thus, the PHSD data collection programs should have

recorded the INTSEL data as a function of the geometric situation.

Also, it will be very difficult to simulate three-dimensional

fratricide test using a two-dimensional radar model.

Another reason for excluding the Intercept Plan Selection program

from the calibration model is that its implementation on the MSI

configuration will be different from that on the IC PEPE. In the

IC system, the program had to be rescheduled when the fratricide

test failed because of the non-interruptability requirements. In

the MSI system, the program will simply iterate (at a lower priority)

to completion.

.e Track Ensemble

One of the track ensemble programs, Impact Point Prediction (IMPT),

will not be included in the calibration model because of the avail-

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t ability of data. Impact point prediction performs two functions

in PHSD, calculating the impact point of an object and deghosting.

The independent variable for deghosting is the number of objects

being deghosted. For impact point prediction, the independent

variable is the maximum renge of the objects involved in the

current execution of the program.

6.0 CALIBRATION TESTS

Three types of calibration tests will be performed: BAD effectiveness tests,

component calibration tests, and mission profile calibration tests.

The BMD effectiveness tests (Type I) check the tactical logic of the model.

The objective of the Type I tests is to demonstrate that the calibration

model properly exercises the PHSD engagement logic. The test is a comparison

of the function history obtained from the simulator with that expected. If

the results are within acceptable limits, the model passes the test.

The Type II tests, Component Calibration Tests, are designd to test the

performance characteristics of the PHSD programs or other system attributes

under carefully controlled situations. The amount of tinie required for

ALLOC to allocate 8 radar pulses for a given equipment configuration is an

example of a Type II test. Another example would be the amount of AU time

required by TRYPRO on the .5 mip PEPE. All of the Type II tests have

associated confidence limits which were obtained from a careful analysis of

the PHSD data. Acceptance criteria have been specified for every Type II

test.

*• The Mission Profile Calibration Tests, Type III tests, compare the results

from a particular PHSD experimental run with that obtained from the simulator.

The results will generally be presented (and compared) as a function of

mission time. The acceptance criteria will be one of professional judgement

rather than statistical analysis because of the availability of data (and

the availability of theory) for generating reasonable acceptance criteria for

this type of test.

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6.1 TYPE I TESTS - EFFECTIVENESS TESTS -

The BMD effectiveness tests consist of a set of tests which exercise all

significant branches of the PHSD engagement logic. Eight test scenarios

have been designed. They range in complexity from a single non radar threat

to a 17 object threat with radar attackers, non radar threats and non threat-

ening. The Type I tests are similar to the GRC scenarios used for P•iSD testing.

The major difference being the fact that the calibration model uses a 2-

dimensional radar and a simple atmospheric model.

6.1.1 Acceptance Criterion

The acceptance criterion for the Type I tests is:the function history (obtained

from the simulator) for each object in each test must be within the nominal

specified functional history for each object where the functional history is

the engagement time (expressed as seconds from RV launch) of the following

events occur for each object:

1. Initial search hit

2. Track initiation

3. Early track

4. Precision track

5. MAR sent

6. LCS sent

7. Missile in track

8. Missile failure detecteG

9. Missile burst confirmed

10. Special acquisition

11. Target track dropped (final radar acquisition)

The expected time that each event should occur for a given object is a time

interval (or window which depends on several factors; including the time that

the object penetrates the search volume, the search sector scan rate, the

tngagement logic of the tactical process, the reach of the interceptor, the

interceptor speed, etc). The function history for 5 events in the life of an

object is depicted in figure 3. This figure is for explanatory purposes and

is not drawn to scale. The figure shows a radar with its associated search

volume and an RV about to enter the search volume. The scale on the bottom

"is engagement time measured in seconds from RV launch. The solid line Qhrough

the search volume represents the RV trajectory. The arrows touching the tra-

jectory show the earliest time that each of the five events, identified below

the figure, can occur for this particular RV. For example, the earliest object

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detection time by a search pulse (return) is the moment the RV enters the

search volume. This would occur if the sequencing of the search raster was

such that a search pulse was scbeduled for the RV entry position the moment it

entered the search volume. The latest time that the object can be detected

depends on the search sector scan rate. If the search raster sweeps the sector

once every second, then the latest time that the object would be detected, is

one second after entering the search sector. (This assumes that the object

is detected when it is illuminated by a radar pulse, which is assumed to

"always occur in the following tests). This earliest-latest time interval

(or window) is represented by the solid line associated with each event.

EVENTS

ET -• 1-

ESECONDS FROM LAUNCH

SERC

1.3 Track initiation occurs as soon as a search/verify pair are received which[, ~under' the PMtSD engagement logic is 23 ms after the first positive search return.

A• Thus the earliest that track initiation can occur is 23 ms after the object( enters the search volume. The size of the window is again dependent on theSsearch raster scan rate. The remaining windot~s are determined in a similar

fashion.

iME,. •,,, ........................ ..

........E

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6.1.2 Type I Tests - General Description

A general description of the Type I tests follows. A summary of the BMD

effectiveness tests with a list of the PHSD functions exercised

by each test is presented in Table 6.1

Test I (Reference GRC Scenario 11)

The attack plan for test 1 consists of a single RV being classified as

a non-radar threat (NRT). The objective of the test is to show that

the simulator is able to detect and track an object, and plan and

execute its intercept. No missile failures are allowed in test 1. All

tracking functions, with the exception of Special Acquisition and Track-While-Scan, are exercised. All interceptor functions, except kill

assessment and post-LCS failure replacements, are exercised.

Test 2 (Reference GRC Scenario 11)

Same as test 1 except that a pre-launch missile failure occurs on the

first missile. The objective of the test is to show that the missile

is replaced and the interception is completed.

Test 3 (Reference GRC Scenario 11)

Same as test I except that a post-launch missile failure occurs. A

second missile is not replanned since the RV is classified as a non-radar

threat. Instead the object is dropped from track after the failure is

detected.

Test 4 (Reference GRC Scenario 11)

The attack plan for this test is ,imilar to that of test 1 except the

RV is classified as a radar threat (rather than a non-radar threat).

A post-launch missile failure occurs during this test. The objective

of this test is to show that (after detection of the first missile

failure) a second intercept is plannad and successfully implemented.

All functions except Special Acquisition and Track-While-Scan are

exercised during this test.

T es t 5 (Reference GRC Scenario 12)

The attack plan for this test consists of 10 RV's, some being classified

as non-radar threats and some as radar threats. No missile failures

S. . .. . -- o - -

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* n~Jpzo N N N N N

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-00ON ~ ~ ~ - V 4H 00 r-4r

U W 1-4 1-4 H v-I H- -4 r-4

CDn r4 CV -O in H0 r-I 01-4 Z

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occur during this test. The radar cross section (RCS) of two of the

objects go to zero for 1-2 seconds thereby exercising the Special

Acquisition branch of the PHSD logic. The objective of this test is

to show that multiple objects can be detected, tracked and intercepted.

The Track-While-Scan (TWS) and post-LCS (Launch Command Sequence)

replacement functions are not exercised during this test.

Test 6 (Reference GRC Scenario 12)

This test is the same as test 5 except that a post-launch missile

failure occurs on a radar attacker. A second shot should be replanned

and successfully executed.

Test 7 (Reference GRC Scenario 13)

The threat for test 7 consists of 12 RV's, one tank and four tank frag-

ments. The tank and four tank fragments will be classified as non-radar

threats. One of the RV's is also classified as a non-radar threat.

Therefore, six objects will exercise the Track-While-Scan (TWS) branch

of the PHSD logic. The Special Acquisition logic will also be exercised,

since the radar cross section (RCS) of two of the RV's will go to zero

for about 2 seconds. No missile failures will occur during this test.

Test 8 (Reference GRC Scenario 13)

This test is the same as 7 except that post-launch missile failures

occur. Two failures occur on missiles assigned to radar threats and

*• one on a missile assigned to a non-radar threat. A second interception

Z should be planned and executed against the radar attackers. The non-

radar threat should be dropped after detection of the failure. This test

exercises all PHSD functions.

6.1.3 Equipemnt Configuration

The equipment configuration required for the Type I tests is the full PHSD

equipment configuration as shown in Figure 1 of this document. Since the

( Type I tests are performance (i.e., run time) independent, no specific

hardware performance characteristics have been specified. This also applies to

the radar block size. The experiments should use parameters that are con-

venient for the tests.

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6.1.4 Search Volume

The search volume associated with the Calibration Model is assumed to con-

sist of three search sectors and that the scan rate for each sector can bespecified by the test planner. The scan rates chosen for the BED effective-

ness tests are as follows:

Search Sector Time per scan

1 3.85 sec.

2 2.2 sec.3 1.65 sec.

It should also be noted that all function history calculations are based on

the assumption that the minimum aad maximum ranges can be specified for each

search sector.

6.1.5 Tracking Rate

All objects are assumed to be tracked at 20 Hertz.

6.1.6 Test Sequence

There are no specific requirements for sequencing the Type I tests. Test 8,the most complex test, exercises all required PHSD logic branches. Therefore,satisfactory completion of test 8 obviates the other seven tests.

6.1.7 Type I Tests - Detailed Test Plan

A detailed description of the Type I test plan for the Calibration Modelfollows. The acceptance criteria (i.e., nominal functional history) is

included for each test.

6.1.7.1 Test 1 (Reference GRC Scenario 11). The attached plan for test 1

consists of a single RV entering search sector 3 at beam position 300. TheRV is classified as a non-radar threat (NRT). The RV enters the volume at

2985 seconds and its range at entry is 92 km. The RV's speed is 71OOm/sthroughout the exercise.

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The minimum and maximum search ranges for search sector 3 are:

Minimum range 66 km.

Maximum range 92 km.

No missile failures occured during this test. The interceptor speed is

2360m/s.

The nominal function history for test 1 is presented in Table 6.2.

ENGACEMENT TIME (See) FUNCTION

2985.00 - 2986.65 Initial search/verify hits

2985.02 - 2986.67 Track Initiation

2985.12 - 2986.77 Early track

2987.52 - 2989.17 Precision track

2987.52 - 2990.27 MAR sent

2987.67 - 2990.52 LCS sent

2989.72 - 2993.57 Missile track acquired

2995.54 - 2996.35 Missile burst confirmee

2995.54 - 2996.90 Target track dropped

Function History

Table 6.2

6.1.7.2 Test 2 (Reference CRC Scenario 11). Same as test 1 except that a

prelaunch missile failure occurs on the first missile assigned to the RV.

A second missile is assigned and the mission proceeds without any further

failures.

The functional history for test 2 is presented in Table 6.3. Note that it

is the same as that for test 1.

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ENGAGEMENT TIME (Sec) FUNCTION

2985.00 - 2986.65 Initial search/verify hits

2985.02 - 2986.67 Track initiation

2985.12 - 2986.77 Early track

2987.52 - 2989.17 Precision track

2987.52 - 2990.27 MAR sent

2987.67 - 2990.52 LCS sent

2989.72 - 2993.57 Missile track acquired

2995.54 - 2996.35 Missile burst confirmed

2995.54 - 2996.90 Target track dropped

Function HistoryTable 6.3

6.1.7.3 Test 3 (Reference GRC Scenario 11). This test is basically the same

as test 1. The only difference being that a failure occurs in the first

interceptor assigned to the target at 2.75 seconds after launch. A second

interceptor is not assigned to this target since it is classified as a non-

radar threat (NRT). The object should be dropped from track after the

failure has been detected.

The nominal function history for test 3 is presented in Table 6.4.

ENGAGEMENT TIME (See) FUNCTION

2985.00 - 2986.65 Initial search/verify hits

2985.02 - 2986.67 Track initiation

2985.12 - 2986.77 Early track

2987.52 - 2989.17 Precision track

2987.52 - 2990.27 MAR sent

2987.67 - 2990.52 LCS sent

K - 2989.72 - 2993.57 Missile track acquired

""2990.92 - 2994.32 Missile failure detected

2990.92 - 2994.87 Target track dropped

Function History

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6.1.7.4 Test 4 (Reference GRC Scenario 11). The attack plan for this test

consists of a single RVentering search sector 3 at beam position 300. The

RV is classified as a radar threat (RT). The first interceptor assigned to

this target has a post launch failure which occurs at 2.75 seconds after

launch. A second interception is to be planned and executed.

The object enters the search volume at 2981 seconds. Its range at entry is

120.4 km. The speed of the target is 7100 m/s.

The speed sector range gates for this test are:

Minimum range 94 kmMaximum range 121 km.

The interceptor speed is 2360 m/s.

The nominal function history for test 4 is presented in Table 6.5.

ENGAGEMENT TIME (Sec) FUNCTION

2981.00 - 2982.65 Initial search/verify hits

2981.02 - 2982.67 Track initiation

2981.12 - 2982.77 Early track

2983.52 - 2985.17 Precision track

2983.52 - 2986.27 MAR sent

2983.67 - 2986.52 LCS sent

2985.72 - 2989.57 Missile track acquired

2986.92 - 2990.32 Missile failure detected

2986.92 - 2990.92 MAR sent

2987.07 - 2992.12 LCS sent

2989.12 - 2994.32 Missile track acquired

2995.32 - 2996.75 Missile brust confirmed

2995.32 - 2997.30 Target track dropped

Function History

Table 6.5

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6.1.7.5 Test 5 (Reference GRC Scenario 12). The attack plan for test 5

consists of 10 RV's entering search sectors 1 and 3. Six of the RV's are

classified as radar threats (RT) and four as non-radar threats (NRT). The

radar cross section (RCS) on two of the objects go to zero for about 2 seconds;

the RCS for objects 3 and 4 is zero during the time intervals 2973.50 -

2975.40 seconds and 2981.00 - 2983.00 seconds respectively. Both of these

targets should cause the Special Acquisition logic to be exercised.

The minimum and maximum search ranges for search sectors 1 and 3 for this

test are:

Search sector Search range (km.)

Minimum Maximum

1 105 135

3 66 98

All targets have the same speed - 7100 m/s.

All interceptors have the same speed - 2360 m/s.

No interceptor failures occur during this test.

The threat status, search sector entered, time of entry into search volume,

beam position at entry and range at entry for each object in the test follows:

__

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THREAT SEARCH SECTOR TIME OF BEAM RANGE ATOBJECT STATUS ENTERED ENTRY POSITION ENTRY

1 RT 1 2967 50 135

2 RT 1 2971 75 135

3 RT 1 2967 100 135

4 RT 1 2971 125 1355 RT 1 2967 150 135

6 RT 1 2971 175 135

7 NET 3 2974 300 98

8 NET 3 2974 400 98

9 NET 1 2977 300 135

10 NET 1 2977 350 135

The anticipated function history for each object is presented in Table

6.6.

ENGAGDEMNT TIME (Sec) FUNCTION

Object No. 12967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2982.08 - 2983.62 Missile burst confirmed

2982.08 - 2984.17 Target track dropped

-- continued--

Function History

Table 6.6

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Table 6.6 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 2

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 3

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2973.65 - 2973.75 Special acquisition

2975.40 - 2975.55 Precision track or track initiate

2982.08 - 2983.62 Missile burst confirmed

2982.08 - 2984.17 Target track dropped.

-- continued --

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Table 6.6 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 42971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.61 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2981.15 - 2981.25 Special acquisition

2983.00 - 2983.15 Precision track or track initiate

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 5

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2982.08 - 2983.62 Missile burst confirmed

2982.08 - 2984.17 Target track dropped

-continued --

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*Table 6.6 (continued)

ENGAGEMIT TIME (Sac) FUNCTION

Object No. 6

2971.00 - 2974.58 -Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 7

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2985.17 - 2986.23 Missile burst confirmed

2985.17 - 2986.78 Target track dropped

* Object No. 8

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision trackA

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2985.17 - 2986.23 Missile burst confirmed

2985.17 - 2986.78 Target track dropped

-- continued -

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Table 6.6 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 9

2977.00 - 2980.58 Initial search/verify hits

2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 MAR sent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Missile track acquired

2992.08 - 2993.62 Missile burst confirmed

2992.08 - 2994.17 Target track dropped

Object No. 10

2977.00 - 2980.58 Initial search/verify hits

2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 MAR sent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Missile track acquired

2992.08 - 2993.62 Missile burst confirmed

2992.08 - 2994.17 Target track dropped

6.1.7.6 Test 6 (Reference CRC Scenario 12). This test is basically the same

"as test 5 except for a post launch failure on three interceptors. The targets

enter exactly the same way as in test 5; the same entry point, same ranges and

the same times. The target threat status is the same as in test 5. The tar-

gets enter at the same speed.

* The radar cross sections (RCS) for objects 3 and 4 go to zero for the same

period of time.

The only difference is that in test 6 a post launch missile failure occurs

in the first missile assigned to objects 1, 2, and 7. The missile failure

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time for each nbJect is:

Ob c Failure after Launch

1 3.5 sec.

2 3.0 sec.

7 2.75 sec.

A second interception should be planned and executed against objects 1 and

2 since they are radar attackers. Object 7 should be dropped from track

after the missile failure has been detected.

The interceptor speeds for test 6 ate the same as those for test 5.

The fuaction history for each object it test 6 is presented in Table 6.7.

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 1

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.-'"2 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.q0 LCS sent

2971.72 - 2977.60 Missile track acquired

2973.67 - 2979.95 Missile failure detected

2973.67 - 2980.55 MAY, sent

2973.82 - 2981.75 LCS sent

2975.87 - 2983.95 Missile track acquired

2983.12 - 2985,20 Missile burst confirmed

2983.12 - 2985.75 Target track dropped

-- continued --

Function History

Table 6.7

S ..... ' I i 44 I I~' I~h, I - I I ! --rn

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-4 Table 6.7 (continued)

ENGAGEMENT TIME (See) FUNCTION

Object No. 2

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2977.17 - 2983.45 Missile failure detected

2977.17 - 2984.05 MAR sent

2977.32 - 2985.25 LCS sent

2979.37 - 2987.45 Missile track acquired

2986.99 - 2989.18 Missile burst confirmed

2986.99 - 2989.73 Target track dropped

Object No. 3

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 -- 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2973.65 - 2973.75 Special acquisition

2975.40 - 2975.55 Precision track or track initiate

A 2982.08 - 2983.62 Missile burst confirmed

2982.08 - 2984.17 Target track dropped

-- continued --

I I I

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4Table 6.7 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 4

2971.00 - 2974.58 Initial search/verify hits

2P71.02 - 2974.60 Track initiation

2973.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2981.15 - 2981.25 Special acquisition

2983.00 - 2983.15 Precision track or track initiate

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 5

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

• 2982.08 - 2983.62 Missile burst confirmed

S2982.08 - 2984.17 Target track dropped

-- continued --

tI I I I I I I I I p

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Table 6.7 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 6

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 7

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2979.82 - 2984.27 Missile failure detected

V 2979.82 - 2984.82 Target track dropped

Object No. 8

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2985.17 - 2986.23 Missile burst confirmed

2985.17 - 2986.78 Target track dropped

-- continued --

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4' Table 6.7 (continued)

ENGAGEMENT TINE (See) FUNCTION

Object No. 9

2977.00 - 2980.58 Initial search/verify hits2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 MAR sent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Missile track acquired2992.08 - 2993.62 Missile burst confirmed2992.08 - 2994.17 Target track dropped

Object No. 10

2977.00 - 2980.58 Initial search/verify hits2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 MAR sent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Missile track acquired

2992.08 - 2993.62 Missile burst confirmed2992.08 - 2994.17 Target track dropped

6.1.7.7 Test 7 (Reference GRC Scenario 13). The attack plan for test 7 con-sists of 17 objects; 3 radar threats (RT), 8 non-radar threats (NRT), and 6non-threatening objects (NT). The objects enter all three sectors of the

search volume. The entry characteristics of each object follows:

THREAT SEARCH SECTOR ENTRY BEAM ENTRYOBJECT STATUS ENTERED TIME POSITION RANGE

1 NRT 3 2982 100 982 RT 1 2969 50 1353 NRT 2 2974 20 1184 NRT 2 2974 40 115

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.4 THREAT SEARCH SECTOR ENTRY BEAM ENTRYOBJECT STATUS ENTERED TIME POSITION RANGE

5 NRT 1 2970 200 135

6 NT 2 2974 60 125

7 NT 2 2973 80 125

8 NT 2 2975 100 125

9 RT 1 2971 250 135

10 NRT 2 2973 120 120

11 RT 2 2973 140 119

12 NRT 2 2974 160 123

13 NT 2 2978 180 115

14 NT 3 2975 200 108

15 NRT 3 2974 300 104

16 NT 2 2973 200 125

17 NRT 2 2975 220 120

The entry speed for all objects is the same - 7100 m/s.

The minimum and maximum ranges for each search sector for test 7 are:

Range (kin)

Search Sector Minimum Maximum

1 105 135

2 85 1253 75 110

Notice that during this test, the objects do not always enter at the maximum

range of the search sector. The reason for doing this is to control the

amount of time that each object spends in the search volume.

The radar cross section (RCS) for object 9 is zero during the interval

2980.00 - 2982.00 seconds. This object should exercise the Special Acquisition

path of the tactical logic.

"Objects 6, 7, 8, 13, 14 and 16 are non-threatening objects and should be

placed in Track While Scan. They should be dcopped from track after leaving

the search volume.

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Nk No interceptor failures occur in this test. All interceptors fly at 2360

rn/s.

The function history for each object is presented in Table 6.8.

ENGAGEMENT TIME (See) FUCTION

Object No. 1

2982.00 - 2983.65 Initial search/verify hits

2982.02 - 2983.67 Track initiation

2982.12 - 2983.77 Early track

2984.52 - 2986.17 Precision track

2984.52 - 2987.27 MAR sent

2984.67 - 2988.47 LCS sent

2986.72 - 2990.67 Missile track acquired

2993.17 - 2994.24 Missile burst confirmed

2993.17 - 2994.79 Target track dropped

Object No. 2

2969.00 - 2972.58 Initial search/verify hits

2969.02 - 2972.60 Track initiation

2969.12 - 2972.70 Early track

2971.52 - 2975.10 Precision track

2971.52 - 2976.20 MAR sent

2971.67 - 2977.40 LCS sent

2973.72 - 2979.60 Missile track acquired

2984.08 - 2985.62 Missile burst confirmed

2984.08 - 2986.17 Target track dropped

-- continued--

Function History

Table 6.8

• ' i -0. .. ...

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Table 6.8 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 3

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.12 Missile track acquired

2986.23 - 2988.92 Missile burst confirmed

2986.23 - 2989.47 Target track dropped

Object No. 4

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2987.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.22 Missile track acquired

2986.97 - 2988.61 Missile burst confirmed

2986.97 - 2989.16 Target track dropped

Object No. 5

2970.00 - 2973.58 Initial search/verify hits2970.02 - 2973.60 Track initiation

2970.12 - 2973.70 Early track

2972.52 - 2976.10 Precision track

2972,52 - 2977.20 MAR sent

2972.67 - 2978.40 LCS sent

2974.72 - 2980.60 Missile track acquired

2985.08 - 2986,62 Missile burst confirmed2985.08 - 2987.17 Target track dropped

-- continued--

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it Table 6.8 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 6

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976,32 Early track

2976.52 - 2978.72 Track while scan

2979.63 - 2981.83 Drop track while scan

Object No. 7

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Track while scan

2978.63 2980.83 Drop track while scan

Object No. 8

2975.00 - 2977.20 Initial search/verify hits

2975.02 - 2977.22 Track initiation

2975.12 - 2977.32 Early track

2977.52 - 2979.72 Track while scan

2980.63 - 2982.83 Drop track while scan

Object No. 9

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired2980.15 - 2980.25 Special acquisition

2982.00 - 2982.15 Precision track or track initiate

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

-- continued--

S .. .. . . .. : . ... . . . . •. . .. . ... .... . .. . . .. . . . . . . . .: . .- . ... .; , : . . .. . ] - ..-

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Table 6.8 (continued)

ENGAGEMENT TDM (Sec) FUNCTION

Object No. 10

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Precision track2975.52 - 2978.82 MAR sent

2975.67 - 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.60 - 2988.18 Missile burst confirmed

2986.60 - 2988.68 Target track dropped

Object No. 11

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.12 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Precision track

2975.52 - 2978.82 MAR sent

2975.67 - 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.39 - 2988.03 Missile burst confirmed

2986.39 - 2988.58 Target track dropped

Object No. 12

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.12 Missile track acquired

2986.55 - 2989.45 Missile burst confirmed

2986.55 - 2990.00 Target track dropped

-- continued --

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ENGAGEMENT TIME (Sec) FUNCTION

Object No. 1

2982.00 - 2983.65 Initial search/verify hits

2982.02 - 2983.67 Track initiation

2982.12 - 2983.77 Early track

2984.52 - 2986.17 Precision track

2984.52 - 2987.27 MAR sent

2984.67 - 2988.47 LCS sent

2986.72 - 2990.67 Missile track acquired

2993.17 - 2994.24 Missile burst confirmed

2993.17 - 2994.79 Target track dropped

Object No. 2

2969.00 - 2972.58 Initial search/verify hits

2969.02 - 2972.60 Track initiation

2969.12 - 2972.70 Early track

2971.52 - 2975.10 Precision track

2971.52 - 2976.20 MAR sent

2971.67 - 2977.40 LCS sent

2973.72 - 2979.60 Missile track acquired

2974.92 - 2981.20 Missile failure detected

2974.92 - 2981.80 MAR sent

2975.07 - 2983.00 LCS sent

2977.12 - 2985.20 Missile in track

2984.93 - 2987.01 Missile burst confirmed

2984.93 - 2987.56 Target track dropped

-- continued --

Function History

Table 6.9

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Table 6.9 (continued)

ENGAGEIENT TIME (Sec) FUNCTION

Object No. 3

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.22 Missile track acquired

2986.23 - 2988.92 Missile burst confirmed

2986.23 - 2989.47 Target track dropped

Object No. 4

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.22 Missile track acquired

2986.97 - 2988.61 Missile burst confirmed

2986.97 - 2989.16 Target track dropped

Object No. 5

2970.00 - 2973.58 Initial search/verify hits

2970.02 - 2973.60 Track initiation

2970.12 - 2973.70 Early track

2972.52 - 2976.10 Precision track

2972.52 - 2977.20 MAR sent

2972.67 - 2978.40 LCS sent

2974.72 - 2980.60 Missile track acquired

2975.92 - 2982.20 Missile failure detected

2975.92 - 2982.75 Target track dropped

- continued --

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1; 4 Table 6.9 (continued)

ENGAENENT TIUE (Sac) FUNCTION

Object No. 6

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Track while scan

2979.63 - 2981.83 Drop track while scan

Object No. 7

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Track while scan

2978.63 - 2980.83 Drop track while scan

Object No. 82975.00 - 2977.29 Initial search/vtrify hits

2975.02 - 2977.22 Track initiation

2975.12 - 2977.32 Early track

2977.52 - 2979.72 Track while scan

2980.63 - 2982.83 Drop track while scan

Object No. 9

2971.00 - 2974.58 Initial search/verify hits2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2976.92 - 2983.20 Missile failure detected2976.92 - 2983.80 MAR sent

2977.07 - 2985.00 LCS sent

2979.12 - 2987.20 Missile in track

-- continued --

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Table 6.9 (continued)

ENGAGEMENT TfTlf (Sec) FUNCTION

Object No. 9 (cont'd.)

2980.15 - 2980.25 Special acquisition

2982.00 - 2982.25 Precision track or track initiation

2986.93 - 2989.01 Missile burst confirmed

2986.93 - 2989.56 Target track dropped

Object No. 10

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Precision track

2975.52 - 2978.82 MAR sent

2975.67 - 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.60 - 2988.18 Missile burst confirmed

2986.60 - 2988.68 Target track dropped

Object No. 11

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

A' 2973.12 - 2975.32 Early track

2975.52 - 2977.72 Precision track

S2975.52 - 2978.82 MAR sent

2975.67 - 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.39 2988.03 Missile burst confirmed

2986.39 - 2988.58 Target track dropped

-- continued --

• • u===noI

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Table 6.R (continued)

"ENGAGUEENT TIME (Sec) FUNCTION

Object No. 132978.00 - 2980.20 Initial search/verify hits

2978.02 - 2980.22 Track initiation

2978.12 - 2980.32 Early track

2980.52 - 2982.72 Track while scan

2982.23 - 2984.43 Drop track while scan

Object No. 14

2975.00 - 29:6.65 Initial search/verify hits

2975.02 - 2976.67 Track initiation

2975,12 - 2976.77 Early track

2977.52 - 2979J17 Track while scan

2980.65 - 2982.30 Drop track while scan

Object No. 15

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 29?5.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

• 1 2976.67 - 2980.47 LUS sentn978.72 - 2982.67 Missile trick acquired

2985.81 - 2986.86 Missile burst confirmed

-t 2985.81 - 2987.41 Target track dropped

Object No. 16

I?2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 29)7.7. Track while scan

2978.63 - 2980.53 Drop track while scan

c--continued--

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I Table 6.8 (continued)

ENGAGEMENT TIME (See) FUNCTION

Object No. 17

2975.00 - 2977.20 Initial search/verify hits

2975.02 - 2977.22 Track initiation

2975.12 - 2977.32 Early track

2977.52 - 2979.72 Precision track

2977.52 - 2980.82 HAR sent

2977.67 - 2982.02 LCS sent

2979.72 - 2984.22 Missile track acquired

2987.55 - 2990.13 Missile burst confirmed

2987.55 - 2990.63 Target track dropped

6.1.7.8 Test 8 (Reference GRC Scenario 13). This test is exactly the same

as test 7 except that three interceptors fail in flight. Two of the failures

are against radar attackers and one against a non-radar threat. A second

interception should be planned and executed against the radar attackers. The

NRT object should be dropped from track as soon as the failure is detected.

The failures are associated with interceptors assigned to objects 2, 5, and

9. All failures occur at 2.75 seconds after launch.

F Note: If everything works as expected, these failures should occur in thefirst three missiles launched with the first interceptor assigned to objectk 2, the second to object 5 and the third to object 9.

The RCS on object 9 goes to zero for the same period of time as in test 7.

The expected function history for each object in test 8 is presented in

Table 6.9.

4

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Table 6.9 (continued)

ENGAGEMENT TIMe (Sec) FUNCTION

Object No. 12

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2977.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.22 Missile track acquired

2986.55 - 2989.45 Missile burst confirmed

2986.55 - 2990.00 Target track dropped

Object No. 13

2978.00 - 2980.20 Initial search/verify hits

2978.02 - 2980.22 Track initiation

2978.12 - 2980.32 Early track

2980.52 - 2982.72 Track while scan

2982.23 - 2984.43 Drop track while scan

Object No. 14

2975.00 - 2976.65 initial search/verify hits

2975.02 - 2976.67 Track initiation

S2975.12 - 2976.77 Early track

2977.52 - 2979.17 Track while scan

2980.65 - 2982.30 Drop track while scan

-- continued --

1f

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Table 6.9 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 15

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2985.81 - 2986.86 Missile burst confirmed

2985.81 - 2987.41 Target track dropped

Object No. 16

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Track while scan

2978.63 - 2980.83 Drop track while scan

Object No. 17

2975.00 - 2977.20 Initial search/verify hits

2975.02 - 2977.22 Track initiation

2975.12 - 2977.32 Early track

2977.52 - 2979.72 Precision track

2977.52 - 2980.82 MAR sent

2977.67 - 2982.02 LCS sent

2979.72 - 2984.22 Missile track acquired

2987.55 - 2990.13 Missile burst confirmed

2987.55 - 2990.63 Target track dropped

L

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8..

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6.2 TYPE II TESTS - COMPONENT CALIBRATION TESTS

This section presents a detailed description of the Component Calibration

or Type II tests. In general, the Type II tests will be performed on those

"components (usually programs) of the PHSD system for which there is suffi-cient data available for the calculation of confidence limits. Also, theType II tests are performed under carefully controlled conditions (e.g., theamount of AU time as a function of the number of pulses processed) ratherthan a more gross test (e.g., the average execution time of a program for anentire mission) since it is very difficult to duplicate all aspects of amission. Type II calibration tests will be performed on the following com-

ponents of the PHSD system:

Pulse Allocation (ALLOC)

o Parallel (AU) time

o Total run time

Track initiation (TRKINI)

o Total run time

Target track processing (TRKPRO)

o Parallel (AU) time

Interceptor track processing (MITRK)"o Parallel (AU) time

"o Total run time

Guidance (GINDC)

o Total run time

Interceptor planning control (INCTL)

o Total run time

PEPE accumulation interval

6.2.1 Test 9 - Pulse Allocation (ALLOC)

Two types of tests have been specified for the Pulse Allocation program.

4The first test is a test of PEPE parallel (AU) time. The second is a test

of the total parallel and sequential run time of ALLOC. (See Appendix B

for the derivation of the calibration limits).

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6.2.1.1 Test 9.1 - Parallel (AU) Time - 1 mip PEPE. This test is to deter-

mine whether or not the average parallel (AU) time per millisecond (ms) of

accumulation interval as a function of the number of objects in early or

precision track is within prescribed limits.

6.2.1.1.1 Test Conditions. The conditions for this test are:

Tracking rate - 20 Hz.

PEPE speed - I mip

Threat - Various threats can be used; e.g., "in-house simulator",

GRC scenarios 13, 14, 15.

Radar block size - 2

Host scale factor - 0.10

6.2.1.1.2 Limitation. This test is only valid for 30 or fewer objects in

early or precision track.

6.2.1.1.3 Acceptance Criteria. The following method should be used to

evaluate the results obtained from the simulator:

1. Select those values of n (the number of objects in early or pre-

cision track) for which the number of execution of ALLOC is greater

than or equal to 5.

2. For each value of n selected in 1 above, calculate the average AU

time (p).

3. For each value of n selected in 1, calculate the average accumu-

lation interval (ms).

4. Divide the average AU time by the average accumulation interval.

5. Compare the results with the calibration limits specified below or

with the values contained in Table 6.10 which has been included

4 •for convenience. The values in Table 6.10 are rounded to the

nearest microsecond and in case of doubt, the values obtained from

the formulas override those in the table.

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6. The results are considered to be acceptable if at least 95% of the

results fall within the 95% calibration limits.

6.2.1.1.4 Calibration Limits. The upper and lower 95% calibration limits are:

tAU -T = 63.14 + 1.169 n

tAU,95 s 53.38 + 1.169 n

where: tAU,T5 is the upper 95% calibration limit (p)

StAUg,95 is the lower 95% calibration limit (p)

n is the number of objects in early or precision track

The expected average AU time (p) per ms of accumulation interval for both

cases is:

tU f 58.255 + 1.169 n

. =.--.IAU

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PULSE ALLOCATION - AVERAGE AU TIME (u) PER MSEC

OF ACCUMULATION INTERVAL FOR I MIP PEPE

OBJECTS 95% CONF. LIMITSIN TRACK (nearest i)

0 53 -631i 54 -642 56- 653 57 -674 58- 685 59 -696 60 -707 62 - 718 63 - 729 64- 74

10 65- 7511 66- 7612 67 - 7713 69- 7814 70- 8015 71- 8116 72 - 8217 72- 8318 73- 8419 76 - 8520 77 - 8721 78- 8822 79- 8923 80 -9024 81- 9125 83 -9226 84 -9427 85 -9528 86 -9629 87 -9730 88 -98

Table 6.10

6.2.1.2 Test 9.2 - Parallel (AU) Time - .5 mlp PEPE. Same test conditions

as for test 9.1 except that the 1 mip PEPE has been replaced by a .5 mlp

PEPE.

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The evaluation of the test results is the same as for Test 9.1 except that

the average AU time should be divided by 1.7 before applying the calibration

limit tests.

The acceptance criteria is the same, namely that at least 95% of the results

must fall within the 95% calibration limit.

6.2.1.3 Test 9.3 - Total Run Time. This test is to determine whether or

not the average total (scaled) run time for Pulse Allocation as a function

of the number of pulses processed is within prescribed limits. Analysis of

the PHSD data has shown that the average total run time for the Pulse

Allocation program is a linear function of the number of pulses processed.

6.2.1.3.1 Test Condition. This test will consist of one test under the

following conditions:

Tracking rate - 20 Hz.

PEPE speed - 1 mip

Host scale factor - 0.1

Radar block size - 2 ms

Threat - " In-house simulator"

6.2.1.3.2 Limitation. This test is only valid for the number of pulses pro-

cessed (not including search pulses) is less than or equal to 25.

6.2.1.3.3 Acceptance Criteria. The following method should be used toevaluate the results obtained from the simulator:

"1. Select those values of x (the number of pulses processed; not

including search pulses) for which the number of executions of ALLOC

is greater than or equal to 5.

2. For each value of selected in 1 above, calculate ALLOC's average

total processing time.

3. Compare the results with the calibration limits specified below.

4. The test results are considered acceptable if at least 95% of the

results fall within the 95% calibration limits.

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6.2.1.3.4 Confidence Limits. The upper and lower 95% calibration limits

for the average total run time (ms) for ALLOC are:

tALLOC,7 = 5.87 + 0.1214x

tALLOC,95 = 5.11 + 0.1214x

6.2.2 Test 10 - Track Initiation (TRKINI)

One test has been specified for the Track Initial program (TRKINI). That

test is quite simply a test of TRKINI's average total run time under two

conditions, (1) track initiation zero objects; (2) track initiation 1 or

more objects.

6.2.2.1 Test Condition. The TRKINI test will consist of one test under the

following conditions:

Tracking rate - 20 Hz

PEPE speed - 1 mip

Host scale factor - 0.1

Radar block size - 2 ms

Threat - "In-house simulator"

6.2.2.2 Acceptance Criteria. The following method should be used to evaluate

the results obtained from the simulator:

1. Calculate TRKINI's average total run time (u) under two conditions:

o TI 0 objects

o Tl >1 object

The average run time should consist of at least 5 iterations of the

program under both conditions.

2. The Track Initiate component of the calibration model is considered

to be acceptable if both values calculated in 1 above are within

the following calibration limits:

o 0 objects 106.3 - 144.31

o >l object 203.1 - 244.3v4?

If•

3-

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4 6.2.3 Test 11 - Target Track Processing (TRKPRO)

One test has been specified for the Target Track Processing program (TRKPRO).

The test is for the average parallel (AU) time as a function of the number of

objects in early or precision track.

Analysis of the PHSD data has shown that the parallel time for TRKPRO is a

linear function of the number of objects in early or precision track. (See

Appendix C). This test is to determine whether or not the average parallel

time obtained from the calibration model falls within prescribed calibration

limits. Two AU tests will be performed; one for the 1 mip PEPE and the other

for the .5 mip PEPE.

6.2.3.1 Test 11.1 - Parallel ýAU) Time - 1 mip PEPE

6.2.3.1.1 Test Conditions. The test conditions for both the AU part of the

TRKPRO test are as follows:

Tracking rate - 20 Hz

PEPE speed - 1 mip

Host scale factor - 0.1

Radar block size - 2 ms

Threat - "In-house simulator"

6.2.3.1.2 Limitation. The calibration limits for this test are only valid

for less than or equal to 30 objects in early or precision track,

6.2.3.1.3 Acceptance Criteria. The following method should be used to

evaluate the results obtained frow the simulator:

1. Select those values of n (the number of objects in early or pre-cision track) for which the number of executions of TRKPRO is greater

than or equal to 5.

2. For each value of n selected above, calculate TRKPRO's average

parallel time.

3. Compare the results with the calibration limits specified above.

4. The test results are considered acceptable if at least 95% of the

results fall within the 95% calibration limits.

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6.2.3.1.4 Calibration Limits. The upper and lower 95% calibration limits for

TRKPRO's AU time for a 1 mip PEPE are:

tTRKPROv5 - 3.621 + 0.00224n

tTRKPRQ,95 = 3.534 + 0.00224n

where: tTTRO,- is the upper 95% calibration limit for TRKPRO's AU

time (ms)

t TRKPRO,95 is the lower 95% calibration limit for TRKPRO's AU

time (ms)

n is the number of objects in early or precision track (n<30)

6.2.3.2 Test 11.2 - Parallel (AU) Time - .5 mid PEPE. The test for the

.5 mip PEPE is the same as that specified for the 1 mip PEPE except that

.5 replaces the I in the test conditions and the calibration limits change.

The calibration limits for the .5 mip PEPE are:

95% calibration limits

tTRKpR¶0 , 4.526 + 0.0028n

tTRKPRO,95= 4.417 + 0.0028n

where all terms are as defined before.

6.2.4 Test 12 - Interceptor Track Processing (MITRi)

Three tests have been specified for the Interceptor Track Processing program

(MITRK); one for the average total run time, one for the average parallel time

for a 1 mip PEPE and one for the average parallel time for a .5 mip PEPE.

6.2.4.1 Test 12.! - Total Run Time

6.2.4.1.1 Test Conditions. The test conditions for the total run time test

for MITRK are:

Tracking rate - 20 Hz

PEPE speed - 1 mip

Host scale factor - 0.1

Radar block size - 2 ms

Threat - "In-house simulator"

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3 4 6.2.4.1.2 Acceptance Criteria. The following method should be used to

evaluate the results obtained from the simulator.

1. Calculate the average total run time for the MITRK program. (The

average should consist of at least 5 sets of values.)

2. Compare the average with the calibration limits specified below.

3. Test results are considered acceptable if the average value falls

within the calibration limits.

6.2.4.1.3 Calibration Limits. The 99% calibration limits for the average

total run time of the MITRK program are 711 - 727 us.

6.2.4.2 Test 12.2 - Parallel (AU) Time - 1 mip PEPE. Two tests have been

specified for the parallel part of the MITRK program; one for the 1 mip

PEPE and one for the .5 mip PEPE. The test conditions for the AU test are

the same as those for the total time test except for the PEPE speed in the

.5 mip test.

6.2.4.2.1 Acceptance Criteria

1. Calculate the average AU time for the MITRK program.

2. Compare average with calibration limits.

3. The simulator results are considered to be acceptable if the

average AU time falls within the calibration limits specified below.

6.2.4.2.2 Calibration Limits. Analysis of the PHSD data shows that the

average AU time for the MITRK program remains constant (to the nearest micro-

second) under all conditions. The usual method of calculating the calibration

limits requires the sample variance, which in this case turns out to be zero.

Thus, the 99% (or any other calibration limit) calibration limits on the AU

time would be the average AU time + 0. This mcans that the results from the

simulator must equal (exactly) the PHSD results in order to be acceptable.

This requirement appears to be unreasonable. To allow the possibility of

some variation, an arb•trar.. 92 variation has been specified. Therefore. the

calibration limits for the 1 mip PEPE are 481 +10p or (471 - 491)-.

6.2.4.3 Test 12.3 Parallel (AU) Time - .5 mip PEPE. The test for the .5

mip PEPE is the same as that for the I mip FEPE except that the calibration

4 limits are 692 + l4p, or (678 - 7060P.

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6.2.5 Test 13 - Guidance (GIDNC)

One test has been specified for the Guidance program -a test of the pro-

gram total run under four conditions. The conditions to be tested are: no

data, initialization of an element, performing guidance, guidance plus

initialization.

6.2.5.1 Test Conditions. The test conditions for this test are:

Tracking rate - 20 Hz

PEPE speed - 1 mlp

Host scale factor - 0.1

Radar block size - 2 ms

Threat - "In-house simulator"

6.2.5.2 Acceptance Criteria

6.2.5.2.1 No Data. The test for no data is a test of the average total

program run time with no data being processed. This could also be called a

null test. The procedure is as follows:

1. Calculate the average total (scaled) program run time. (The average

should consist of at least 5 sets of values.)

2. Compare the average with the calibration limits specified below.

3. The test results are considered acceptable if the average value falls

within the specified calibration limits.

Calibration Limits

The 991 calibration limits for the average total program run time for

under the "no data" condition are (146 - 166p).

6.2.5.2.2 Initialization. The initialization test for the average total

"GIDNC run time is exactly the same as the no data test except that the calL-

bration limits have been changed to (716 - 763p).

6.2.5.2.3 Guidance. The test of the "guidance" condition is the same as

that fer the "no data" condition except that the calibration limits for this

test are (1843 - 1864p).

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6.2.5.2.4 Guidance and Initialization. The test for the "guidance and

initialization" condition is the same as that for the "no data" condition

except that the confidence limits for this test are (2412 - 24 6 8 0).

6.2.6 Test 14 - Intercept Planning Control (INCTL)

One test has been specified for the Intercept Planning Control (INCTL) pro-

gram. This test is for the average total program run time for one pass

through the program. This test is limited; however, it is the best that can

be performed with the data available.

6.2.6.1 Test Conditions. The test conditions for this test are:

Tracking rate - 20 Hz

PEPE speed - 1 mip

Host scale factor - 0.1

Radar block size - 2 ms

Threat - "In-house simulator"

6.2.6.2 Acceptance Criteria

1. Calculate the averaý - total program run time for the "one pass

through the program" condition. (At least 5 sets of values should

be used to compute the average.)

2. Compare the average total program run with the calibration limits

specified below.

3. The results from the simulator are considered to be acceptable if

they fall within the calibration limits.

6.2.6.3 Confidence Limits. The 99% calibration limits for the total GIDNC

run time for the "one pass through the program" condition are (2649 - 2810p).

6.2.7 Test 15 - PEPE Accumulation Interval

A The length of the accumulation interval in the track ensemble depends on

several system parameters; e.g., tracking rate, radar block size. The accumu-

$ lation interval test is designed to determine whether or not the calibration

model accumulation interval is the same or close enough to that of the PHSD

system. The specific situations to be tested are shown in Table 6.11. Tests

1,2 and 3 are required. Tests 4,5 and 6 are desirable.

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6.2.7.1 Test Conditions.

Tracking rate - 20 Hz

PEPE speed - See Table 6.11

Host scale factor - See Table 6.11

Radar block size - See Table 6.11

Threat - "In-house simulator"

6.2.7.2 Acceptance Criteria

1. For each test identified in Table 6.11, calculate the average

accumulation interval. (At least 30 values should be used to

calculate the average.)

2. Compare the average accumulation interval with the calibration

limits specified in Table 6.11

3. The results from the calibration model are acceptable if all of

the values fall within the 99% calibration limit specified in

- Table 6.11

TESTS FOR PEPE ACCUMULATION INTERVAL

HOST SCALE PEPE RADAR BLOCK AVERAGE ACCUM.TEST FACTOR SPEED SIZE INTERVAL (99% CL)

1 0.10 1 mip 2 36.32 - 38.06 ms

2 0.10 1 mip 6 18.15 - 19.89 ms

3 0.10 .5 mip 2 35.57 - 37.31 ms

4 0.10 1 mip 4 29.44 - 31.18 ms

5 0.25 1 mip 2 34.49 - 36.23 ms

6 0.25 1 mip 4 28.64 - 30.38 ms

Table 6.11

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9 6.3 TYPE III TESTS - MISSION PROFILE CALIBRATION TESTS

The Component Calibration tests are designed to test specific individual

components of the system under carefully controlled conditions. Only one

component is tested in each test.

The Mission Profile tests test several components (in fact all components)

in each test. The objective of the Mission Profile tests is to compare

the results of a mission run on the simulator with the results of the same

mission run on the PHSD equipment configuration at Whippany. We are pri-

marily interested in comparing the results as a function of engagement

time rather than some other calibration variable.

No formal acceptance criteria has been specified for the Type III tests.

The reason for this is partly due to the availability of data and partly

due to the lack (at least to the author's knowledge) of a suitable method-

ology (except for some trivial measures, which have most likely already

been satisfied by the Type II tests). The selected course is acceptance

by professional judgement; that is, an evaluator(s) will compare the

results from the simulator with those obtained from the PHSD experiments

and decide whether or not they are "close enough" for calibration purposes.

Only a limited number of Type III tests have been specified, since the

calibration model must also pass the Type II tests. The experimentalists

may want to consider other possibilities if time permits.

6.3.1 Test 16

The test conditions for test 16 are the same as those for PHSD experimental

run 22 (See Appendix A for a description of the PHSD test runs). The test

conditions are:

A Tracking rate - 20Hz

PEPE speed - I mip

Host scale factor -0.1Radar block size - 2 ms

Threat - "In-house simulator"

N Length of mission -at least 10 seconds-'

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-* The following results should be collected from the simulator and compared

with those obtained from the PHSD run 22:

1. Pulse Allocation - total run time

2. Target Track Processing - total run time

3. Track limitation - total run time

4. Guidance - total run time

* 5. Accumulation Interval - (length of)

6.3.2 Test 17

The conditions for test 17 are the same as those for test 16 except that

the radar block size has been changed from 2 to 6 ms. This test corres-

ponds to PHSD experimental test 20, (See Appendix A for a description of the

PHSD test runs).

The results collected from test 17 are the same as those required for

test 16.

6.3.3 Test 18

The conditions for test 18 are the same as those for test 16 except that

the PEPE speed has been changed from I mip to .5 mip. This test corres-

ponds to PHSD experimental test 33, (See Appendix A for a description of the

PHSD test runs).

The results collected from test 18 are the same as those required for test 16.

* A

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APPENDIX A

PHSD EXPERIMENTS

Nine of the PHSD experiments performed at BTL in Whippany, New Jersey during

August and September 1971 provided the data that was used to calculate the

calibration limits for the calibration tests.

These experiments are summarized below. The "in house simulator" refers

to a 21 object threat developed by BTL for checkout purposes. No data link

with GRC is required for this test.

Run 19 (August 29, 1971)

Threat - GRC scenario 14 (60 objects in track)

Radar block - 2 ms

PEPE - 1 mip

Host scale factor - 0.25

No missiles

Run 20 (August 31. 1971)

Threat - In house simulator (21 object)

Radar block - 6 ms

PEPE - 1 mip

Host scale factor - 0.1

.4

if'VRun 21 (August 31, 1971)

Threat - GRC scenario 12

Radar block - 6 ms

PEPE - 1 mip

Host scale factor - 0.1

Run 22 (September 1. 1971

Threat - In hous simulator

Radar block - 2 ms

PEPE 1 mip

Host scale factor - 0.10

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Run 26 (September 3, 1971)

Threat - In house simulator

Radar block - 1 ms

PEPE - 1 mip

Host scale factor - 0.25

Run 27 (September 4, 1971)

Threat - GRC scenario 15

Radar block - 6 ms

PEPE - 1 mip

Host scale factor - 0.10

Run 28, (September 8. 1971)

Threat - In house simulator

Radar block - 4 ms

PEPE - 1 mip

Host scale factor - 0.10

Run 30 (September 8, 1971)

Threat - GRC scenario 12

Radar block - 2 ms

PEPE - 1 mip

Host scale factor - 0.25

Run 33 (September 14, 1971)

Threat - In house simulator

Radar block - 2 ms

PEPE - 0.5 mip

A• Host scale factor - 0.10

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N APPENDIX B

CALCULATION OF THE PULSE ALLOCATION CALIBRATION LIMITS

Appendix B shows how the calibration limits were calculated for the Pulse

Allocation program. Three sets of calibration limits are calculated; (1)

Parallel (AU) time per millisecond for n objects in early or precision

track (1 mip PEPE), (2) the same as (1) for 0.5 mip PEPE, and (3) the total

(parallel and sequential) time for k track and interceptor pulses processed.

Analysis of the PHSD experimental data shows that the above relationships

are linear within certain limits. The calibration limits for the parallel

time hold for 30 or fewer objects in track. For more objects in track, the

relationship may not be linear. Analysis of Run 19 (60 objects in track)

indicates that the relationship for large numbers of objects in track isn't

linear.

The calibration limits for the total pulse allocation time hold for 25 or

fewer pulses being processed. Whether or not the linear relationship holds

for more than 25 pulses processed is not known at present.

1. Calibration limits - Parallel (AU) time for I mip PEPE

The calibration limits for the amount of time (parallel time) required to

allocate pulses for n objects in early or precision track were obtained

from an analysis of the PHSD experimental data. The data from eight test

runs were utilized; Test runs 19, 20, 21, 22, 26, 27, 28.and 30.

The data from these tests represent a varity of test conditions which are

" summarized below:

Threat - In house simulator, GRC Sc 12, 14 and 15

Radar block - 1, 2, 4, 6 ms

Host scale factor - 0.25 and 0.10

The one common condition is, of course, the I mip PEPE.

Standard regression theory has been used to determine the linear relation-

* iship and estimate the variance. The data has been normalized by using sample

averages only. All data shown in Table B-1 represents sample averages of

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4• 5 or more executions of pulse allocation.

The data in Table B-I was obtained from the PHSD experiments. It shows the

average AU time (Gs) per millisecond of accumulation interval for n objects

in early or precision track.

In PHSD, all radar pulses (search, track, and interceptor) were allocated in

the track ensemble. The data collection facilities, however, did not keep

track of the number of interceptors for which pulses were being allocated. It

only recorded the number of objects (targets) in early or precision track.

Therefore, the data in all test runs (except run 19 in which no interceptors

are launched) contains the time required to allocate some unknown number

(but usually small) of interceptor pulses. This tends to make the AU time

larger than it should be for n objects in track. This situation is especially

evident in Run 27 in which a relatively large number of interceptors (com-

pared to the number of targets) are launched early in the scenario. Never

the less, all of the data was used in order to estimate the variance. This

situation will cause the AU time obtained from the model to appear low

when the data does not contain any interceptor allocation time.

*1

i2l i I I

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"PULSE ALLOCATION

AVERAGE AU TIME (G) PER MILLISECOND

ACCUMULATION INTERVAL FOR n OBJECTS IN TRACK

OBJECTS PHSD RUN 'NUMBERIN - - -....

TRACK 19 20 21 22 26 27 28 30

0 55.6 55.7 _ 55.1

m=1 __60.2

2 62.0

3 59.6 _ 63.5 59.1

4 58.7 64.1

5 64.5

6 64.0 69.0 65.1

7 67.6 70.9 66.2

8 1 68.4 71.0 67.0

9 69.9 173.5 68.4

10 70.8 69.9 70.9

11 70.4 75.5 70.8

12 70.8 75.3

13 72.7 72.1 72.2 72.3 72.4

14 ___76.4 75.6 75.6 75.01i4 1 75.

15 77.6 76.-9 74.1 77.2

4 16 75.8

17 79.0

18 '76.2 I 78,0

19 79.5 78.3 77.7 77.8

20 ____81.9 17.779.2

TABLE 3-1

-- -

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OBJECTS PHSD RUN NUMBERIN -

TRACK 19 20 21 22 26 27 28 30

21 83.0 82.3 82.1 80.7

22 83.2 88.0 84.2 86.8 83.5

23 83.3 89.2 85.1 87.8

24 83.7 91.7 86.2

25 82.2 88.3 87.6

26 93.3 86.2 87.9

27 89.3 93.8

28

29 90.2

30

31

32

33

34 94.8

35 97.1

* 36 103.7

37 98.9 l

38

39

T -4C

- - - _ - TABLE B-1(continued) -

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2/22173 B-5 T-HU-Q48!500/00

OB2 2S PHSD RUN UNIRIBER

19 20 21 22 26 27 28 30

41 100.3

42 99.6

43 100.1

44

45 103.5

46 107.7

47 107.1

48 108.0

49

50

51

52 106.4 _

53

54

55

56 114.2

S57 110.7

58 115.5

59 116.0

60______

TABLE B-i (continued)

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4' Standard regression techniques will be used to determine the relationship

between AU time and the number of objects in track. The independent variable

X is the number of objects in track. The dependent variable y, is the observed

AU time. Since we have multiple observations for several values of X we are

able to test for linear fit.

Regression equauion

The linear relationship is:

y a + b (x- x)where:

E Yi

n

E xiyi - (Sxi) (Eyi)n

_; xi - (EXI)n

n

n number of observations

= 80

Note: The summation limits have not been explicitely indicated on the above

equations since they are all from 1 to n.

Calculating the various values from the data obtained from Table B-I we have

tyi = 6031.82ty i 461,680.70

Zxi = 1173

Lxi yi = 93,940,'2

LXi = 21,903

N= 80

t

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Thus

6031.8a 8 = 75.398

b = 1.169

1173X T80 = 14.663

To estimate the variance we let

(Exi) (Syi)Q = Eyi - a~yi - b[Exiyi n

= 465.30

where Q is the sum of squares (SS) of the observations from the

regression line, the estimated variance is

S 2 = Q 465.3 = 2.440o M-2 78

Substituting into the above regression equation we get

y - a + b(x-x)

- 75.398 + 1.169 (X- 1 4 . 6 6 3 )

- 58.255 + 1.169 X

where

y is the expected AU time, and X is the number of objects in track.

The 95% upper and lower calibration limits are obtained by adding

2G to the expected value. Thus the upper 95% calibration limit is

y-n = 58.255 + 1.169 X + 2(2.44)

= 63.135 + 1.169 X

Similarily the lower 95% calibration limit is

y 58.255 + 1.169 X -2(2.44)

=53.375 + 1.169 X

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-- Linear Fit Test

To see whether or not a linear model fits the data we proceed as follows.

If the underlying relationship is not linear then the mean (or expected

value) of the distributions for some values of X will not be on the re-

gression line. If this is the case, then part of the total sum of square

(Total SS) .Q. is accounted for by a shift of the mean of some of the

distribution away from the regression line. We can check this by partit-

ing the total SS (Q) into the components; one which estimates the Pure

Error SS (sum of squares) and one which estimates the Lack of Fit SS and

then use the F-test to see whether or not the variation is significant.

We calculate the Pure Error SS from those entries in Table B-1 which have

more than one observation. The Pure Error SS for each such entry is

- 2Pure Error SS = E(yij - yj)

where yij is the ith observation in the jth entry in Table B-i and

yj is the averagc of all the observations in the j entry.

The number of degrees of freedom associated with each entry is one less than

the number of observations.

The Pure Error SS and corresponding degrees of freedom for the data contained

in Table B-1 is shown in Table B-2.

S4.4S.. .:•

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ALLOCATION AU

PURE ERROR SUM OF SQUARES

SOBJECTS

IN DEGREES OF PURE ERRORTRACK FREEDOM SS

0 2 .21.3 2 11.614 1 14.586 2 13.817 2 11.658 2 8.249 2 13.74

10 2 .6111 2 17.4212 1 10.1213 4 .2214 3 .9915 3 7.6118 1 1.6219 3 2.0520 3 12.3721 3 2.7922 4 18.2823 3 21.0924 2 33.5025 2 22.2926 2 27.4927 1 10.12

TOTAL 52 262.41

TABLE B-2

4,.

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4 The Lack of Fit SS is Total SS - Pure Error SS

- 465.30 - 262.41 = 202.89

Putting this data into an analysis of variance table representation

we have

A of V

SOURCE DF SS E(MS)

Regression 1

Lack of Fit 26 202.89 202.89/26 = 7.803

Pure Error 52 262.41 262.41/52 = 5.046

TOTAL N-1=79

The standard F test can be used to test linearity of fit if

7.803 26

5.046 > F5 2 (1-a), then we reject the hypothesis that a

linear model is satisfactory at the 1-c) confidence level.

7.804 = 1.546.5.046

26Since F 5 2 (.95) is not in the F tables, we show that the data passes

the linear fit test by noting that30 26

F 6 0 (.95) = 1.65 < F 5 2 (.95)

Since 1.546 < 1.65 linear model is acceptable.

The estimated variance for each value of n(the number of objects in

track) can be calculated from Table B-2 by dividing the SS by the

corresponding degrees of freedom. This type of analysis shows that

the estimate variance is independent of n.

...

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-. 3

2/22/73 B-11 TM-HU-048/500/00

2. Calibration Limits - Parallel (AU) time for .5 mip PEPE

The calibration limits for the .5 mip PEPE can be obtained from those for the

1 mip PEPE by multipling by a PEPE speed adjustment factor. One would expect

that it would take the .5 mip PEPE twice as long to perform the same task as

the 1 mip PEPE, however, due to the confusing PEPE mip ratings, that is not

the case. The .5 mip PEPE that we are talking about is actually faster than

.5 mip since it has a high speed multiply instruction.

Analysis of the parallel instructions executed for pulse allocation shows

that the 1 mip PEPE is 1.7 time as fast as the .5 mip PEPE. Therefore, the

.5 mip calibration limits are equal to the 1 mip calibration limits times

1.71. The 1.7 speed factor is only known to hold for 30 or fewer objects

in track. For a larger number of objects in track it will increase because

relatively speaking, fewer multiply instructions are executed.

3. Calibration limits - Total run time.

Analysis of the total ALLOC run time for the data obtained from PHSD run 22

shows that the relationship is linear for 8-25 pulses (track and interceptor)

being processed. The data presented in Table B-3 is the average ALLOC time

(milliseconds) to process h pulses. Note that we have repeated observations

for most values of h shown.

AVERAGE ALLOC TIME FOR h PULSES

NUMBERPULSES ALLOC - TOTAL RUN TIME (ms)

PROCESSED

8 6.60

9 6.44, 6.50, 6.52, 6.52, 6.421 0 6.56, 6.80, 6.58, 6.68, 6.76, 6.86, 6.73

16 7.68, 7.62, 7.70, 7.62, 7.44, 7.26, 7.33

19 8.24, 7.62, 7.46

25 8.30

TABLE B-3

Mim

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* 2/22/73 B-12 TH-HU-048/500100

- I We will use the same method as outlined in 1 above to determine the linear

relationship, estimate the varience, and determine whether or not a linear

model is acceptable.

ya+b(X-j)

EX = 317 , M = 24 (# observations)

Ey2= 170.24

Zy = 1215.458

Sx= 2307.08

IX = 4669

js 13.2083

170.24a = 24 - 7.0933

b = 0.12136

Q = .7965

42 2 .7965o =s = -- = 0.036222

Aa=s= .1902

Thus

y = 7.0933 + 0.12136 (X-13. 2 08 3 )

- 5.4903 + 0.121 3 6X

where X is the number of pulses processed

The upper and lower 95% calibrations limits are:

k • =5.49 + 0.1214 X + 2(.19)

9 5.8 + 0.1214 x

= 5.49 + 0.1214 x 2(.19)

f= 5.11 + 0.1214 x

4,

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Lack of Fit Test

The lack of fit test for the total ALLOC run time is performed in the same way

as above. The analysis of variance tables for this test is presented below.

A of V

SOURCE DF SS E(MS)

Regression 1

Lack of Fit 4 .1863 .1863/4 = .04658

Pure Error 18 .6102 .6102/18 .0339

TOTAL 23

We accept the linear model at the 95% level if

0.04658 4

0.0339 1.374 < F1 8 (.95) = 2.93

Therefore the linear model is acceptable.

*1

r~i ,°

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2/22/73 C-1 Th-HU-046/500/00

APPENDIX C

CALCULATION OF THE CALIBRATION LIMITS

FOR TARGET TRACK PROCESSING (AU)

The method used to calculate the calibration limits for the target track

processing program (TRKPRO) is the same as was used for pulse allocation

"(Appendix B).

1. Calibranion limits - TRKPRO AU time (1 mip PEPE)

The calibration limits for TRKPRO AU time as a function of the number of

objects in early or precision track were calculated from the data contained

in Table C-I.

,1

I:'"S

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TARGET TRACK PROCESSING

AVERACE AU TIME (MS) FOR n OBJECTS IN TRACK

OBJECTS PHSD RUN NUMBERINI ___

TRACK 19 20 21 22 26 27 28 30

0 3.56 3.57 3.57

1 3.58

2 3.58

3 3.57 3.59 3.58

4 3.59

5 3.5&

6 3.58 3.59 3.60

- 3.59 3.60 3.62

8 73.59 3.60 3.61

9 3.60 3.61 3.61

10 3.60 3.58 3.63

r11 3.59 3.61 3.61

12 3.57 3.61

13 3.58 3.58 3.58 3.61

14 3.60 3.64 3.62

15 3.61 3.64 3.60

S• 16 3.60

17 _ 3.63

18 3.62 3.62

19 3.62 3.67 3.62

20 R.62 13.67 3.66

TABLE C-I

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2/22/73 C-3 TH-Ht4-048/500100

TARGET TRACK PROCESSING

AVERAGE AU TIME (MS) FOR n OBJECTS IN TRACK

OBJECTS PIISD RUN NUMBERIN

TRACK 19 20 21 22 26 27 28 30

21 3.61 3.64 3.65

22 3.60 3.61 3.64 3.65

23 3.60 3.61 3.65

24 3.58 3.60

25 3.57 3.62 3.67

26 3.61 3.67 3.65

27 3.63 3.64

T E 1 o n

TABLE C-i (continued)

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2/22/73 C-4 -m-HU-048/500/00

Standard regression techniques were used.

The model is

y = a + b (x-x)where a, b are calculated as in Appendix B

N = 70

EX2 = 998X2=

EX = 18497 , x - 14.2571

Ly 2= 252.67

Sy = 912.0839

EXy = 3611.91

252.67a = 7o 3.6046

b •-0.0022397

Q =0.0321

A2 0.0321o = 68 = 0.000472

Aa = 0.0217

Therefore the expected TRKPRO run time (AU) is

y -3.6096 + 0.00223 97(X-l4..2 57l)

S3.578 + 0.00224 X

Where X is the number of objects in early or precision track.

The slope for this equation is quite small, 0.00224, and it is natural to ask

whether or not the slope could be zero. If the slope is zero, then the AU time

is not dependent on the number of objects in track.

We can test for this possibility by calculating the 99% confidence interval

for b. If this interval does not include zero, then we say that the slope

is not zero. We use the t - statistic for this.

All

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The 99% confidence interval for b is

b + t (.9995,68) [ý/N-2-- 1/2

where

t (.9995,68) is the t - statistic with 68 degrees at the 99%

confidence level.

and all other terms are as defined before.

Substituting in the appropriate values we have

99% confidence interval for b is b + 0.00102, or that b is between

0.00122 and 0.00326.

Therefore b + 0, hence the AU time depends on the number of objects in

track.

Linear Fit Test

The linear fit test is performed in the same way as was done in Appendix B.

We will only show the analysis of variance table here.

A of V

SOURCE DF SS E(MS)

x Regression 1

Lack of Fit 42 0.0111 0.0111/42 - 0.000262

- ,Pure Error 26 0.0210 0.0210/26 = 0.000808

TOTAL 69

We accept the linear model if

0.000262 42

""0.000808 0.324 <F 2 6 (.95) i 1.8/

Therefore we accept the linear model.

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2/22/73 C-6 TM-HU-048/500/00

2. Calibration Limits - TRKPRO AU Time (.5 mip PEPE)

The .5 mip PEPE calibration limits for the target track processing AU time

is obtained from the 1 mip calibration limits by adjusting the latter by

a speed factor.

Since TRKPRO has a large number of multiply instructions and since the multiply

times on the 1 mip and .5 mip PEPE are the same, we don't expect very much

difference in the times.

Comparing the TRKPRO AU times in test, we find that the speed factor is 1.25.

Thus, the .5 zip TRKPRO calibration limits can be calculated from the 1 mip

limits by multiplying by 1.25.

I

4.'

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4 4

"Iaas1 SA6 NO. vO. 1 VOL .2$

This document was p•oduced by SOC in prformance of IoMtract DAHC60-72-C-0031 2T4-HU- 048/501/00

÷.-" D, IL. Ap~te A,

We IN3.- A. Cornell

V E H N 9a w~orking paper DAT CX Hase N"

System Development Corporation/4810 Bradford Blvd. N. W. March 27, 1973Huntsville. Alabama 35805

PEPE FUNCTIONAL SIMULATION

CALIBRATION MODEL

CALIBRATION TEF" RESULTS

This document has not been cleared for open publication.

.L JOS . . .

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3/27/73 i TM-HU-048/501/00

TABLE OF CONTENTS

Page1.0 INTRODUCTION 11.1 RELATED DOCUMENTS 1

2.0 SUMMARY OF TEST RESULTS 2

3.0 CALIBRATION TEST RESULTS 53.1 BMI) EFFECTIVENESS TESTS (TYPE I) 53.2 COMPONENT CALIBRATION TESTS (TYPE II) 53.2.1 Test 9 - Pulse Allocation 53.2.2 Test 10 - Track Initiation 133.2.3 Test 11 - Target Track Processing 133.2.4 Test 12 - Interceptor Track Processing (MITRK) 173.2.5 Test 13 - Guidance 213.2.6 Test 14 - Interceptor Planning Control 213.2.7 Test 15 - PEPE Accumulation Interval 21

3.3 MISSION PORFILE CALIBRATION TESTS (TYPE III) 253.3.1 Test 16 - (PHSD Run 22) 253.3.2 Test 17 - (PI0SD Run 20) 293.3.3 Test 18 - (PHSD Run 33) 33

W

i

k-

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4 3

3/27/73 ii TM-HU-048/501/00-9LIST OF TABLES

Number Title Page

3-1 Test Results - BMD Effectiveness Tests -

Calibration Model 6

3-1 (Continued) 7

3-1 (Continued) a

3-1 (Continued) 9

3-1 (Continued) 10

3-1 (Continued) 11

3-2 Test Results - Pulse Allocation - Parallel

Time (U MIP PEPE) 12

3-3 Test Results - Pulse Allocation - Parallel

Time (.5 MIP PEPE) 14

3-4 Test Results - Pulse Allocation - Total Time 15

3-5 Test Results - Track Initiation - Total Run-Time 16

3-6 Test Results - Target Track Processing (Kalman

Filter) Parallel Time - (I MIP PEPE) 18

3-7 Test Results - Target Track Processing (Kalman

Filter) Parallel Time - (0.5 MIP PEPE) 19

3-8 Test Results - Interceptor Track Processing (MITRK) 20

3-9 Test Results - Guidance - Total Run Time 22

3-10 Test Results - Interceptor Planning Control -

Total Run Time 23

3-11 Test Results - PEPE Accumulation Interval 24

I-.t

4

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3/27/73 Til m-HU-048/501/00

LIST OF FIGURES

Number Page

1 26

2 27

3 28

4 305 31

.:6 32

7 34

8 35

9 36

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1.0 INTRODUCTION

This document prescnts the results of the tests performed on the PEPE

functional simulation calibration model. The model and a detailed

description of the calibration tests are presented in TH-HU-048/500/00,

PEPE Functional Simulation, Calibration Model, Detailed Test Plans.

1.1 RELATED DOCUMENTS

The detailed test plans and the results of the PEPE functional simulation

are presented in a set of four related documents. These documents are:

PEPE Functional Simulation TM-HU-048/500/00

Calibration Model - Detailed

Test Plans

PEPE Functional Simulation TM-HU-0481501/00

Calibration Model - Calibration

Test Results

PEPE Functional Simulation TH-HU-048/502100

System Verification Model -

Detailed Test Plans

PEPE Functional Simulation TM-HU-048/503/00

System Verification Model -

SVM Test Results

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2.0 SUMMARY OF TEST RESULTS

The Calibration Model has successfully passed all calibration tests

and is, therefore, said to be calibrated. All of the BMD Effectiveness

test (Type I test) requirements were satisfied in a single test (test 8).

All test results were within required limits.

The threat for this test contained 17 objects including radar attackers,

non-radar threats and non-threatening objects. Three in-flight missile

failures were incorporated into the test. In addition, the radar cross

section on one of the radar attackers was set to zero for two seconds.

The model performance with respect to the object (object 9) is noteworthy

since the first interceptor assigned to this target experienced an in-

flight (planned) failure near the time of zero radar cross section. The

model responded by placing the object in Special Acquisition mode, planning

and then conitting a second interceptor for a successful kill. All object

history times for this object are within required limits. The detailed

results of the Type I tests are presented in Section 3.1.

The results of the Component Calibration tests (Type II tests) are

presented in Section 3.2. These results show that all components of the

model are calibrated. These results also show that the model responds

properly to perturbations; e.g., to changes in PEPE speed or radar block

size.

The results of the Type II tests show that the model is calibrated; that

is, these tests show that the model results are within certain limits.

By merely knowing that the model has successfully passed the Type II

tests, one is still not sure how close the model results are to the

measured data except to say that it must be within a certain percent.

(We can determine the maximum variation by knowing that the model has

passed the Type II tests.)

One way of determining the degree of closeness of the model to the data

is to calculate the average variation between the model results and the

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"expected results for the Type II tests. These results (presented in

Table 2.1) show that the average variation between the model results

and the expected results range from a low of 0.5% for pulse allocation

to a high of 132 for track initiation with an overall average variation

of 3%. The high percentage variation for track initiation is a result

of a small run time (100 - 200s)and a modest deviation. (The results

for the track initiate program are within the required calibration

limits.)

The average variatioa of 3% means that the model values are very close

to their expected values and is an indication of the fidelity of the model

to the actual system.

The results of the Mission Profile Calibration (Type III) tests are

presented in Section 3.3. The results of these tests also show the

exactness by which the model results compare with the data. Indeed the

most difficult task when studying these results is to distinguish between

the model values and the original data.

-.

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TABLE 2-1

COMPARISON OF MODEL RESULTS WITH DATA

PROGRAM AVERAGE VARIATION (%)

Pulse Allocation

Parallel (AU) Only 5

Total 0.5

Track Initiation 13

Target Track Processing (KFLT)

Parallel 0.5

Interceptor Track Processing (MITRK) 1

Guidance 1.3

Interceptor Plan Control 2

Average for All Programs 3

,I

{.

S.... .... " •-' ...... .. .. ... .. .• . .... , .. .. . . i -- i • . ... i. . . . i.......• .. .. ... i

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3/27/73 -5- T"M-iU-048/501/O0

3.0 CALIBRATIONTTEST RESULTS

3.1 BED EFFECTIVENESS TESTS (TYPE I)

The calibration model has successfully satisfied all Type I test require-

ments in one test - test number 8. The test was performed in accordance

with the requirements specified in Section 6.1.7.8 of the test plan

(TM-HU-048/500/00). The results of this test are presented in Table 3-1.

They show that all times for all objects are within required limits.

Therefore, the model has satisfied all Type I test requirements.

The test results for object 9 are worth noting since they illustrate the

fidelity of the simulator to the PHSD engagement logic. Object 9 (a radar

attacker) enters the search volume and is detected as usual and an inter-

ceptor is committed. The interceptor experiences an in-flight failure

(planned), which is properly detected and a second intercept is planned.

In the mean time the radar cross section for object 9 is set to zero and

remains at zero for 2 seconds. The model places object 9 is Special

Acquisition status and continues the second intercept. The second inter-

ceptor is committed and achieves a successful interception. All times

reported by the model are within required limits.

3.2 COMPONENT CALIBRATION TESTS (TYPE II)

3.2.1 Test 9 - Pulse Allocation

The results of the three calibration tests for pulse allocation (described

in the following paragraphs) show that the pulse allocation program is

1 f calibrat-d for both the 1 mip and 0.5 mip PEPE.

3.2.1.1 Test 9.1 - Parallel (AU) Time - 1 mip PEPE. The pulse allocation

parallel (AU) test for the 1 mip PEPE was performed according to the

specifications contained in Section 6.2.1.1 of the test plan (TM-HU-048/500/00).

The results of this test are prEsented in Table 3-2. The results show

that the parallel component of the pulse allocation program is calibrated.

All of the results obtained from the model (except one) are within the

95% calibration limits. The one outside the required limits is only out

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TABLE 3-1

TEST RESULTS - BMD EFFECTIVENESS TESTS - CALIBRATION MODEL

4 TEST NUMBER 8

ENGAGEMENT TIME (See) (after launch) FUNCTION

ModelObject No. 1 Times

2982.00 - 2983.65 2982.79 Initial search/verify hits

2982.02 - 2983.67 2982.79 Track initiation

2982.12 - 2983.77 2982.92 Early track

2984.52 - 2986.17 2985.51 Precision track

2984.52 - 2987.27 2985.80 AR sent

2984.67 - 2988.47 2986.70 LCS sent

2986.72 - 2990.67 2989.57 Missile track acquired

2993.17 - 2994.24 2993.60 Missile burst confirmed

2993.17 - 2994.79 2993.82 Target track dropped

Object No. 2

2969.00 - 2972.58 2969.31 Initial search/verify hits

2969.02 - 2972.60 2969.31 Track initiation

2969.12 - 2972.70 2969.42 Early track

2971.52 - 2975.10 2971.94 Precision track

2971.52 - 2976.20 2972.04 AR sent

2971.67 - 2977.40 2972.94 LCS sent

2973.72 - 2979.60 2975.77 Missile track acquired

2974.92 - 2981.20 2976.49 Missile failure detected

2974.92 - 2981.80 2976.60 MAR sent

2975.07 - 2983.00 2977.49 LCS sent

2977.12 - 2985.20 2980.32 Missile in track

2984.93 - 2987.01 2985.28 Missile burst confirmed

2984.93 - 2987.56 2985.35 Target track dropped

- continued --

B-.

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Table 3-1 (continued)

ENGAGDEENT TIME (Sec) FUNCTIONModel

Object No. 3 Times

2974.00 - 2976.20 2974.73 Initial search/verify hits

2974.02 - 2976.22 2974.73 Track initiation2974.12 - 2976.32' 2974.84 Early track

2976.52 - 2978.72 2977.43 Precision track

2976.52 - 2979.8Z 2977.57 MAR sent

2976.67 - 2981.02 2978.50 LCS sent

2978.72 - 2983.22 2981.33 Missile track acquired2986.23 - 2988.92 2987.43 Missile burst confirmed

2986.23 - 2989.47 2987.58 Target track dropped

Object No. 4

2974.00 - 2976.20 2974.89 Initial search/verify hits

• 2974.02 - 2976.22 2974.89 Track initiation

2974.12 - 2976.32 2974.99 Early track

2976.52 - 2978.72 2977.54 Precision track2976.52 - 2979.82 2977.83 MAR sent

2976.67 - 2981.02 2979.62 LCS sent

2978.72 - 2983.22 2988.45 Missile track acquired

2986.97 - 2988.61 2987.47 Missile burst confirmed

2986.97 - 2989.16 2987.58 Target track dropped

Object No. 5

2970.00 - 2973.58 2970.18 Initial search/verify hits2970.02 - 2973.60 2970.18 Track initiation2970.12 - 2973.70 2970.28 Early track2972.52 - 2976.10 2972.87 Precision track

2972.52 - 2977.20 2973.05 MAR sent

2972.67 - 2978.40 2973.91 LCS sent

2974.72 - 2980.60 2976.74 Missile track acquired2975.92 - 2982.20 2977.42 Missile failure detected

2975.92 - 2982.75 2977.60 Target track dropped

-continaed

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Table 3-1 (continued)

ERGAGEMENT TIME (Sec) FUNCTION

ModelObject No. 6 Times

2974.00 - 2976.20 2975.05 Initial search/verify hits

2974.02 - 2976.22 2975.05 Tack initiation

2974.12 - 2976.32 2975.18 Early track

2976.52 - 2978.72 2977.73 Track while scan

2979.63 - 2981.83 2977.77 Drop track while scan

Object No. 7

2973.00 - 2975.20 2973.32 Initial search/verify hits

2973.02 - 2975.22 2973.32 Track initiation

2973.12 - 2975.32 2973.42 Early track

2975.52 - 2977.72 2975.97 Track while scan

2978.63 - 2980.83 2979.02 Drop track while scan

Object No. 8

2975.00 - 2977.20 2975.37 Initial search/verify hits

2975.02 - 2977.22 2975.37 Track initiation

2975.12 - 2977.32 2975.48 Early track

2977.52 - 2979.72 2978.13 Track while scan

2980.63 - 2982.83 2980.70 Drop track while scan

Object No. 9

2971.00 - 2974.58 2973.59 Initial search/verify hits

2971.02 - 2974.60 2973.59 Track initiation

2971.12 - 2974.70 2973.72 Early track2973.52 - 2977.10 2976.27 Precision track

2973.52 - 2978.20 2976.60 MAR sent

2973.67 - 2979.40 2977.45 LCS sent2975.72 - 2981.60 2980.28 Missile track acquired

2976.92 - 2983.20 2980.81 Missile failure detected2976.92 - 2983.80 2981.07 MAR sent2977.07 - 2985.00 2982.17 LCS sent

2979.12 - 2987.20 2985.02 Missile in track

- continued

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Table 3-1 (continued)

ENGAGEMENT TDIE (Sec) FUNCTIONModel

Object No. 9 (cont'd.) Times

2980.15 - 2980.25 2980.18 Special acquisition

2982.00 - 2982.25 2982.24 Precision track or track Initiation

2986.93 - 2989.01 2988.06 Missile burst confirmed

2986.93 - 2989.56 2988.35 Target track dropped

Object No. 10

2973.00 - 2975.20 2973.63 Initial search/verify hits

2973.02 - 2975.22 2973.63 Track initiation2973.12 - 2975.32 2973.76 Early track

2975.52 - 2977.72 2976.31 Precision track

2975.52 - 2978.82 2976.60 MAR sent

2975.67 - 2980.02 2977.49 LCS sent

2977.72 - 2982.22 2980.31 Missile track acquired

2986.60 - 2988.18 2986.62 Missile burst confirmed2986.60 - 2988.68 2986.84 Target track dropped

Object No. 11

2973.00 - 2975.20 2973.79 Initial search/verify hits2973.02 - 2975.22 2973.79 Track initiation

2973.12 - 2975.32 2973.91 Early track

2975.52 - 2977.72 2976.46 Precision track

2975.52 - 2978.82 2976.60 MAR sent

2975.67 - 2980.02 2977.42 LCS sent

2977.72 - 2982.22 2980.27 Missile track acquired

2986.39 - 2988.03 2986.51 Missile burst confirmed

2986.39 - 2988.58 2986.58 Target track dropped

4

-- continued --

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S Table 3-1 (continued),

ENGAGEMENT TIME (Sec) FUNCTION

I 'odelObject No. 12 Times

2974.00 - 2976.20 2975.86 InWtiat search/verify hits

2974.02 - 2976.22 2975.86 Track initiation

2974.12 - 2977.32 2975.96 Early track

2976.52 - 2978.72 2978.58 Precision track

2976.52 - 2979.82 2978.90 MAR sent

2976.67 - 2981.02 2979.77 LCS sent

2978.72 - 2983.22 2982.79 Missile track acquired

2986.55 - 2989.45 2988.43 Missile burst confirmed

2986.55 - 2990.00 2988.57 Target track dropped

Object No. 13

2978.00 - 2980.20 2979.81 Initial search/verify hits

2978.02 - 2980.22 2979.81 Track initiation

2978.12 - 2980.32 2979.93 Early track

2980.52 - 2982.72 2982.52 Track while scan

2982.23 - 2984.43 2982.62 Drop track while scan

Object No. 14

2975.00 - 2976.65 2.X6.28 Initial search/verify hits

2975.02 - 2976.67 2976.29 Track initiation

2975.12 - 2976.77 2976.41 Early track

2977.52 - 2979.17 2978.92 Track while scan

2980.65 - 2982.30 2988.91 Drop track while scan

- continued --

* 'Vt4

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Table 3-L (continued)

ENGAGD•ET TIME (See) FUNCTION

ModelObject No. 15 Times

2974.00 - 2975.65 2974.85 Initial search/verify hits

2974.02 - 2975.67 2974.85 Track initiation

2974.12 - 2975.77 2974.96 Early track

2976.52 - 2978.17 2977.57 Precision track

2976.52 - 2979.27 2977.79 M1AR sent

2976.67 - 2980.47 2978.73 LCS sent

2978.72 - 2982.67 2981.57 Missile track acquired

2985.81 - 2986.86 2986.06 Missile burst confirmed

2985.81 - 2987.41 2986.36 Target track dropped

Object No. 16

2973.00 - 2975.20 2974.26 Initial search/verify hits

2973.02 - 2975.22 2974.26 Track initiation

2973.12 - 2975.32 2974.39 Early track

2975.52 - 2977.72 2976.98 Track while scan

2978.63 - 2980.83 2979.02 Drop track while scan

Object No. 17

2975.00 - 2977.20 2976;33 Initial search/verify hits2975.02 - 2977.22 2976.33 Track initiation

"2975.12 - 2977.32 2976.45 Early track

2977.52 - 2979.72 2978.96 Precision track

2977.52 - 2980.82 2979.06 MAIR sent

2977.67 - 2982.02 2979.96 LCS sent

2979.72 - 2984.22 2982.81 Missile track acquired

2987.55 - 2990.13 2988.88 Missile burst confirmed

2987.55 - 2990.63 2989.09 Target track dropped4"

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9@ TABLE 3-2

TEST RESULTS

PULSE ALLOCATION - PARALLEL TIME (1 MIP PEPE)

PARALLEL TIME (0)/msACCUM. INTERVAL

OBJECTS 95% CALIBRATION

IN TRACK MODEL LIMITS

0 62 53 -63

4 66 58 -68

7 64 62 -71

10 67 65 -75

13 68 69 -78

15 72 71 -81

19 76 76 -85

21 78 78 - 88

22 79 79 - 89

, 4

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by lUs. The reason for this and the fact that some results are on the

low side of the expected value is that the model results do not include

allocation time for interceptors whereas the calibration limits are

based on data which includes the allocation time for some unknown number

of interceptors (See Appendix B of TM-HU-048/500/00 for a further

discussion of this situation).

3.2.1.2 Test 9.2 - Parallel (AU) Time - 0.5 mip PEPE. The pulse allo-

cation parallel (AU) test for the .5 mip PEPE was performed according

to the specifications contained in Section 6.2.1.2 of the test plan.

The results of this test are presented in Table 3-3. The results show

that the parallel component of the pulse allocation program is also

calibrated to the .5 mip PEPE since they are all within the 95% calibration

limits.

3.2.1.3 Test 9.3 - Pulse Allocation - Total Run Time. The test of the

total run time for the pulse allocation program was performed according

to the specifications contained in Section 6.2.1.3 of the test plan. The

results of this test are presented in Table 3-4. All of the model values

are within their respective 95% calibration limits. Therefore, the pulse

allocation program is considered to be calibrated.

3.2.2 Test 10 - Track Initiation

The track initiation test was performed according to the specifications

contained in Section 6.2.2 of the test plan. The results of this test

are presented in Table 3-5. The test results are within the specified

calibration limits, therefore the track initiation program is considered

to be calibrated.

3.2.3 Test 11 - Target Track Processing

The results of the calibration tests performed on the target track

processing program (Kalman filter) show that the parallel component

of the program is calibrated to both the I and 0.5 mip PEPE.

-boom

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TABLE 3-3

TEST RESULTS

PULSE ALLOCATION - PARALLEL TIME (.5 MIP PEPE)

PARALLEL TIME (0)/msACCUM. INTERVAL

OBJECTS 95% CALIBRATION

IN TRACK MODEL LIMITS

0 106 90 - 107

4 1il 99 - 116

7 109 105 - 121

10 113 111 - 128

13 116 117 - 133

15 121 121 - 138

19 129 129 - 145

21 133 133 - 150

22 135 134 - 151

.1

* '0

A| •

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TABLE 3-4

TEST RESULTS

PULSE ALLOCATION - TOTAL TIME

TOTAL TIME (ms)

PULSES 95% CALIBRATION

PROCESSED MODEL LIMITS

S8 6.40 6.08 - 6.84

9 6.58 6.20 - 6.96

10 6.70 6.32 - 7.08

11 6.79 6.45 - 7.21

12 6.88 6.57 - 7.33

13 7.12 6.69 - 7.45

14 7.25 6.81 - 7.57

15 7.32 6.93 - 7.69

16 7.43 7.05 - 7.81

17 7.62 7.17 - 7.93

18 7.65 7.30 - 8.06

19 7.80 7.42 - 8.18

20 7.87 7.54 - 8.30

.

I - - i. 1I.I I !.--

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TABLE 3-5

TEST RESULTS

TRACK INITIATION - TOTAL RUN-TIME

PROGRAM (p Sec) 99Z CALIBRATION

STATE MODEL LIMITS

TI 0 obj. 144 106 - 144

TI > 1 obj. 246 202 - 246

t.

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* 3.2.3.1 Test 11.1 - Parallel (AU) Time - 1 mip PEPE. The test for the parallel

component of the Target Track Processing program was performed according to the

specifications contained in Section 6.2.3.1 of the test plan. The results are

presented in Table 3-6. All of the test results are within the 95% calibration

limits, therefore the TRKPRO parallel component for the 1 mip PEPE is considered

to be calibrated.

3.2.3.2 Test 11.2 - Parallel (AU)Time - 0.5 mip PEPE. The test for the parallel

component of the Target Track Processing program for a 0.5 mip PEPE was performed

according to the specifications contained in Section 6.2.3.2 of the test plan.

The results of this test are presented in Table 3-7. All of the test results

fall within the 95% calibration, therefore the parallel component for the 0.5

mip PEPE is also considered to be calibrated.

3.2.4 Test 12 - Interceptor Track Processing (MITRK)

The test results obtained from the model show that the total run time and

parallel component of the Interceptor Track Processing program is calibrated

to both the 1 mip and 0.5 mip PEPE.

3.2.4.1 Test 12.1 - Total Run Time. The total run time test for the Interceptor

Track processing program (MITRK) was performed according to the specifications

contained in Section 6.2.4.1 of the test plan. The test results are presented

in Table 3-8. The results are within the calibration limits, therefore the

program is considered to be calibrated.

3.2.4.2 Test 12.2 - Parallel (AU) Time - I mip PEPE. The AU test for the

Interceptor Track Processing program for the 1 mip PEPE was performed according

to the specifications contained in Section 6.2.3.2 of the test plan. The results

(presented in Table 3-8) show that the parallel component of the MITRK program

is calibrated to the 1 mip PEPE.

3.2.4.3 Test 12.3 - Parallel (AU) Time - .5 mip PEPE. The AU test for the

Interceptor Track Processing program for the 0.5 mip PEPE was performed according

to the specifications contained in Section 6.2.3.2 of the test plan. The results

are presented in Table 3-8. They show that the parallel component of the MITRKW • program is also calibrated to the 0.5 mip PEPE.

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TABLE 3-6

TEST RESULTS

TARGEf TRACK PROCESSING (KALMAN FILTER)

PARALLEL TIME - (1 MIP PEPB)

OBJECTS PARALLEL TIME (ms)IN

TRACK MODEL 95% CALIB. LIMITS

0 3.57 3.53 - 3.624 3.57 3.54 - 3.63

7 3.57 3.55 - 3.64

10 3.57 3.56 - 3.64

13 3.57 3.56 - 3.6515 3.63 3.57 - 3.65

19 3.64 3.58 - 3.6621 3.63 3.58 - 3.6722 3.66 3.58 - 3.67

4:

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TABLE 3-7

TEST RESULTS

TARGET TRACK PROCESSING (KALMAN FILTER)

PARALLEL TIME - (0.5 NIP PEPE)

OBJECTSIN

TRACK MODEL 95% CALIBRATION LIMITS

0 4.477 (mis) 4.417 -4.526 (mns)3 4.477 4.425 -4.534

5 4.477 4.431 -4.540

8 4.477 4.439 -4.548

12 4.477 4.451 -4.560

13 4.477 4.453 -4.562

15 4.562 4.459 -4.568

19 4.569 4.569 -4.579

21 4.582 4.476 -4.585

22 4.583 4.478 -4.588

25 4.580 4.487 -4.596

26 4.587 4.490 -4.599

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TABLE 3-8

TEST RESULTS

INTERCEPTOR TRACK PROCESSING (MITIRK)

SSec)TEST MODEL CALIBRATION LIMITS

Total Run Time 717 711. - 727 (p)

Parallel - I mip PEPE 489 471 - 491

Parallel - .5 mip PEPE 695 678 - 706

4,.

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3.2.5 Test 13 - Guidance

The Component Calibration Test for the Guidance Program was performed according

to the specifications contained in Section 6.2.5 of the test plan. The test

results are presented in Table 3-9. The model results for two df the four

program states are within the required calibration limits. Although the model

results for the other two program states are outside the calibration limits, the

results from the model do show that the model run times behave properly, that

is, they follow the expected pattern. The precentage variation between the

model results and the expected values is small (less than 3%).

The reason for the variation is not readily apparent. It could be in the

model although that seems unlikely in view of the results of the other tests.

It could also be in the original data. Since the original data is summarized

according to the number of objects in track, the data for the Guidance program

had to be obtained from the time line printouts which do not identify the

program state.

The Guidance program is however, considered to be calibrated.

3.2.6 Test 14 - Interceptor Planning Control

The Calibration Test for the Interceptor Planning Control Program was performed

according to the specifications contained in Section 6.2.6 of the test plan.

The results show that the model values are within the required calibration

limits. The Interceptor Planning Control program is considered to be calibrated.

Test results are shown in Table 3-10.

It should be noted that the scope of this test is quite limited. The reason

for this is that the program run time is a complex function of 3-dimensional

geometry and engagement time which is extremely difficult to replicate with a

2-dimensional radar model.

3.2.7 Test 15 - PEPE Accumulation Interval

The test for the PEPE accumulation interval was performed according to the

specifications contained in Section 6.2.7 of the test plan. The test results

Sare presented in Table 3-11. The results of this test show that the PEPE

scheduling algorithm in the model is the same (within limits) as that in the

PHSD demonstration system. This test shows that the scheduler makes the proper

adjustment for changes in the speed of the host, speed of PEPE and the size

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TABLE 3-9

TEST RESULTS

GUIDANCE - TOTAL RUN TIME(p Secs)

99% CALIBRATION

STATE MODEL LIMITS

NO DATA 159 146 - 166

INITIALIZATION 737 716 - 763

GUIDANCE 1895 1843 - 1864 *

G & I 2473 2412 - 2468*

(1=

4.

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TABLE 3- 10

TESI RESULTS

INTERCEPTOR PLANNING CONTROL - TOTAL RUN TIME

99% CALIBRATIONa STATE MODEL LIMITS(i)

SINGLE PASS 2.78 2.65 - 2.81

A.

3::

, '.. _S-_ -

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2'.

TABLF 3-11

TEST RESULTS

PEPE ACCUMULATION INTERVAL

• (ins)

TEST MODEL 99% CALIBRATION LIMITS

1 37.40 36.32 - 38.06

19.51 18.15 19.89

3 36.06 35.57 - 37.31

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of the radar block.

3.3 MISSION PROFILE CALIBRATION TESTS (TYPE III)

The Mission Profile Calibration tests were preformed according to the specificat ons

contained in Section 6.3 of the test plvn. These tests (Figures 1-9) show that

the model results are very close to the measured results obtained from the PHSD

demonstration system. Since no specific acceptance criteria was specified

for the Type III tests, the reader must examine the results and subjectively

decide whether or not the model results are close enough to the observed

results to say that the model is calibrated. In the judgement of the author, they

are close enough and the model is considered to be calibrated.

Three Mission Profile Calibration Tests have been designed to determine how

well the model responds to changes in two basic system parameters; P PE speed

and radar block size.* The result of the following tests show that the model

does respond as expected to the various perturbations.

3.3.1 Test 16 (PHSD Run 22)

Calibration Test 16 corresponds to PHSD Run 22. The PEPE speed and radar block

size for this test are 1 mip and 2 ms respectively. A comparison of the model

results and the PHSD data for the Pulse Allocation, Track Initiation, Target

Track Processing (Kalman Filter), and Missile Tracking Programs for Test 16

is presented in Figures 1-3. The data in Figures 1-3 show the executica time

of the tactical programs as a function of engagement time. Figure 1 also

presents a comparison of the PEPE accumulation interval and the number of

pulses that must be processed each cycle. (The curve labeled Data in Figure 1).

The model results for the Kalman Filter are so close to the PHSD data (figure 1)

that its hard to distinguish the two curves. The results for pulse allocation

are Lqually impressive expecially when one considers the iterative nature of

the allocation process. The apparent deviation of the pulse allocation model

-t* The Type II tests also check this response. Since the model has passed all

type II tests, a good agreement between the model results and PHSD data is

expected.

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3/27/73 -29- TH-HU-048/501/0O

* results from the PHSD data around 7 and 9 seconds is not the result of cali-

bration difficulties in the pulse allocation program but rather the result of

certain difficulties that arise with the two-dimensional radar model. This is

evidenced by the fact that there is a corresponding difference in the data curves

during these times. The model pulse allocation time adjusted for the difference

on the data curves would be much closer in the 7 and 9 second range. However,

the model results are very impressive and must be considered to be close

enough for calibration even if one ignores the limited geometry in the radar

model.

The PEPE accumulation interval obtained from the model for this test is very

close to that measured in the PHSD demonstration system. These two curves are

so closely intertwined (figure 1) that its hard to tell one from the other.

The results for the Track Initiation and Missile Tracking Programs are presented

in Figures 2 and 3 respectively. In both cases, the model results are very

close to the measured results obtained from the PHSD demonstration system.

3.3.2 Test 17 (PHSD Run 20)

Test 17 corresponds to PHSD Run 20. All System Parameters in this test are the

same as in Test 16 except for the radar block size which has been increased

from 2 to 6 ms. Increasing the radar block size should cause the accumulation

interval to become shorter which in turn reduces the load per execution of the

pulse allocation program and hence will decrease its run time per execution. The

run time for the Kalman Filter, Track Initiation, and Missile Tracking should

remain the same. They will, however, execute more frequently because of the

shorter accumulation interval. The results of this test are presented in

Figures 4-6.

Examination of the results in these figures shows that the model has responded

properly to the longer radar block. The decrease in the accumulation interval

occurs as expected (Figure 4) and the model results are very close to the

measured data. The pulse allocation time has also decreased as expected and is

very close to the measured results. (Unfortunately the pulse allocation time for

this test is close to the Kalman Filter time and thus the plot of these two sets

6 of curves overlap).

The model values for Track Initiation and Missile Tracking remain very close

(Figures 5 and 6 respectively) as expected.

i . . ... . . .. . . k

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3/27/73 -33- Tm-lU-048/501/00

. 3.3.3 Test 18 (PHSD Run 33)

Test 18 corresponds to PHSD Fun 33. All System Parameters in this test are the

same as those in Test 16 except the PEPE speed has been decreased from 1 mip to

0.5 mip. This change should cause a slight decrease in the accumulation interval

and an increase in the execution (run) tine of the parallel programs. The

results of this test are presented in Figures 7-9. These results show that since

the model results are close to the measured data, the model responds properly to

the perturbazion. The apparent difference between the model results and the PHSD

data for the pulse allocation program is not the result of an improper calibration

but rather a measurement error in the PHSD data for run 33.

r

4

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mzs 3d@A" 30 / VOL. a *t,&:

This document was produced by SDC in performance of contract DAIC60-72-C-0031 •14 -HU-048 /502/00

D. -D. &a~die

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~J.* At' Cornell,"SV

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System Development Corporation/4810 Bradford Blvd. N. W. 4/3/73

Huntsville, Alabama 35805

PEPE FUNCTIONAL SIMULATION

SYSTEM VERIFICATION MODEL

DETAILED TEST PLANS

1L

This document has not been cleared for open publication.

IA PiW

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413/73 TM-HU-048/502/00

TABLE OF CONTENTS

1.0 INTRODUCTION

2.0 OBJECTIVE

3.0 SCOPE OF TESTS

4.0 SYSTEM VERIFICATION MODEL

5.0 SYSTEM VERIFICATION MODEL TESTS

5.1 BMD Effectiveness Tests

5.2 Hardware Validation Tests

A

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9 1.0 INTRODUCTION

The PEPE simulation project has the responsibility of validating the

design of the MSI PEPE by functional simulation. Design validation

will be achieved by showing that the performance characteristics of the

MSI PEPE are superior to those of the IC design in the PHSD tactical

situation. Performance characteristics of the M-I PEPE will be obtained

from a functional simulation model of the PHSD tactical process operating

on the NSI PEPE/CDC 7600/RIC equipment configuration. The model is

called the System Verification Model (SVH).*

The approach used for the development of the SV model is to (l) construct

a (functional) simulation model of the PHSD tactical process operating

on the PEPE equipment configuration used for the PHSD demonstrations,

(2) calibrate the above model so that the performance characteristics of

this model are the same (within limits) as that of the PHSD demonstration

system and (3) perturb (modify) the model to reflect the operation of the

PHSD tactical process on the MST PEPEICDC 7600/RIC equipment configuration.

The purpose of this document is to (1) specify the tests that must be

performed and the criteria that must be satisfied to show that the PHSD

tactical process is properly implemented on the MSI PEPE/CDC 7600/RIC

equipment configuration and (2) specify the design validation tests for

the MSI PEPE.

1.1 RELATED DOCUMENTS

The detailed test plans and the results of the PEPE functional simulations

are presented in a set of four related documents. These documents are:

PEPE Functional Simulation TM-HU-0481500/00

Calibration Model - Detailed

Test Plans

* The SVH model has also been called the Version One Functional SimulationModel.

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4/3/73 -2- TM-HU-048/502/00

PEPE Functional Simulation TM-HU-048/501/00

Calibration Model - Calibration

Test Results

PEPE Functional Simulation TM-HU-048/502/O0

System Verification Model -

"Detailed Test Plans

PEPE Functional Simulation TM-HU-048/503/00

System Verification Madel -

SVM Test Results

Ia

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2.0 OBJECTIVE

Tht:.test plan objective for the System Verification Model is to design

a set of tests that can be used to determine whether or not the MSI

PEPE performs satisfactorily when executing the PHSD tactical process

on the MSI PEPE/CDC 7600/RIC equipment configuration.

lAl.

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3.0 SCOPE OF THE SVM TESTS

The tests specified in this document are designed to determine (1) whether

or not the PHSD tactical process is properly implemented in the System

Verification Model and (2) whether or not the MSI PEPE performs satis-

factorily when executing the PHSD tactical process on the MSI PEPE/CDC 7600/

RIC equipment configuration.

The tests specified in this document will not evaluate all intermediate

steps in the evaluation of the MSI design. Thus, for example, there will

not be a test devoted to the "instruction streaming" versus "no instruction

streaming" issue. Such tests are possible, however, not with present

resources.

I

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4.0 SYSTEM VERIFICATION MODEL

The System Verification Model Is a high level functional simulation of

the PHSD tactical process operating on the MSI PEPE/CDC 7600/RIC equipment

configuration (figure 1). The threat model, radar model and the-interceptor

model are the same as those used for the Calibration Model. The SVM

software configuration is shown in figure 2. This figure shows how the

PHSD tactical process is mapped onto the MSI PEPE equipment configuration

for the SVM model.

(.

4

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4/3/73 -6- -HU-048/50

210 0

Radar HOSTInterfaceComputer CDC-7600

SIT ITDE CONFIGURATIO

.. R AO

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4/3/73 -7- T1-4-048t 502t00

-- .. RIC HOST

RADAR ORDER GEN- REAL TIME EXECUTIVE

RADAR RETURN ASSTM FARM RETURN ASSIMILATION

MSI PEPE

CORRELATION ARITHMETIC ASSOC. OUTPUTUNIT UNIT UNIT

CORRELATION PROG. " TARGET TRACK • PULSE* TRACK PROCESSING ALLOCATION" SURVAILLANCE INTERCEPTOR* SPECIAL ACQ. TRACK PROC.• TRACK INITIATE • MISSILE° INTERCEPTOR CONTROL* FARM RETURN * IMPACT POINT

PREDICTIONINTERCEPT

PLANNINGCONTROL

BATTLESPACIEDETERMINATION

INTERCEPTPLAN SELECTION

MAPPING OF PHSD PROCESS ONTO THE

SVM HARDWARE CONFIGURATION

Figure 2

_______.r..~-rr~r~-r~ -'-'---

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5.0 SYSTEM VERIFICATION MODEL TESTS

* Two sets of tests have been developed for the System Verification Model;

EMD Effectiveness tests and Hardware Validation tests.

The BMD effectiveness tests (Type I) are designed to check the pXocessing

logic of the model. These tests are computer independent and thus the

same set of BMD effectiveness tests used for the Calibration Model can also

be used for the System Verification Model.

The Hardware Validation tests (Type IV)* are designed to determine whether

or not the design of the MSI PEPE is such that the performance of the MSI

PEPE is satisfactory when executing the PHSD tactical process in the MSI

PEPE/CDC 7600/RIC equipment configuration.

5.1 BMD EFFECTIVENESS TESTS (TYPE I)

The BMD effectiveness tests for the System Verification Model are the same

as those for the Calibration Model. They have, however, been included

in this document in order to make it complete and self contained.

The END effectiveness tests consist of a set of tests which exercise all

significant branches of the PISD engagement logic. Eight test scenarios

have been designed. They range in complexity from a single non-radar threat

to a 17 object threat with radar attackers non-radar threats and non-

threatening. The Type I tests are similar to the GRC scenarios used for

PHSD testing. The major difference being the fact that the calibration

model uses a 2-dimensional radar and a simple atmospheric model.

5.1.1 Acceptance Criterion

The acceptance criterion for the BMD effectiveness test is the function

history (obtained from the simulator) for each object. Each test must

be within the nominal specified functional history for each object where

*These tests are labeled Type IV rather than Type II to avoid any possible

confusion with the Type II and Type IV test for the Calibration Model.

4

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the functional history is the engagement time (expressed as seconds from

9 RV launch) of the following events for each object:

1. Initial search hit

2. Track initiation

3. Early track

4. Precision track

5. MAR sent

6. LCS sent

7. Missile in track

8. Missile failure detected

9. Missile burst confirmed

10. Special acquisition

11. Target track dropped (final radar acquisition)

See TM-HU-048/500/00 for a more thorough discussion of BMD function histories.

5.1.2 Type I Tests - General Description

A general description of the Type I tests follows. A summary of the BND

effectiveness tests including a list of the PHSD functions exercised

by each test is presented in Table 5.1.

Test 1 (Reference GRC Scenario 11)

The attack plan for test 1 consists of a single RV being classified as

a non-radar threat (NRT). The objective of the test is to show that

the simulator is able to detect and track an object, and plan and

execute its intercept. No missile failures are allowed in test 1.

All tracking functions, with the exception of Special Acquisition and

Track-While-Scan, are exercised. All interceptor functions, except

kill assessment and post-LCS failure replacements, are exercised.

Test 2 (Reference GRC Scenario 11)

Same as test 1 except that a pre-launch missile failure occurs on the

first missile. The objective of the test is to show that the missileis replaced and the interception is completed.

S.4

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4/3/ 73 -10-- TM-HU-048/502 /00

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4 Test 3 (Reference GRC Scenario 11)

Same as test I except that a post-launch missile failure occurs.

A second missile is not replanned since the RV is classified as a

non-radar threat. Instead the object is dropped from track after the

failure is detected.

Test 4 (Reference GRC Scenario 11)

The attack plan for this test is similar to that of test 1 except

the RV is classified as a radar threat (rather than a non-radar

threat). A post-launch missile failure occurs during this test.

The objective of this test is to show that (after detection of the

first missile failure) a second intercept is planned and successfully

implemented. All functions except Special Acquisition and Track-

While-Scan are exercised during this test.

Test 5 (Reference GRC Scenario 12)

The attack plan for this test consists of 10 RV's, some being

classified as non-radar threats and some as radar threats. No missile

failures occur during this test. The radar cross section (RCS) of

two of the objects go to zero for 1-2 seconds thereby exercising the

Special Acquisition branch of the"PESD logic. The objective of this

test is to show that multiple objects can be detected, tracked and

intercepted. The Track-While-Scan (TWS) and post-LCS (Launch Comnand

Sequence), replacement functions are not exercised during this test.

Test 6 (Reference GRC Scenario 12)

This test is the same as test 5 except that a post-launch missile

failure occurs on a radar attacker. A second shot should be replanned

and successfully executed.

Test 7 (Reference GRC Scenario 13)

The threat for test 7 consists of 12 RV's, one tank and four tank

fragments. The one tank and four tank fragments will be classified as

non-radar threats. One of the RV's is also classified as a non-

radar threat. Therefore, six objects will exercise the Track-While-

Scan (TWS) branch of the PHSD logic. The Special Acquisition logic

4 will also be exercised, since the radar cross section (RCS)of two

of the RV's will go to zero for about 2 seconds. No missile failures

will occur during this test.

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Test 8 (Reference GRC Scenario 13)

This test is the same as 7 except that post-launch missile failures

occur. Two failures occur on missiles assigned to a radar threat

and one on a missile assigned to a non-radar threat. A sebond

interception should be planned and executed against the radar

attackers. The non-radar threat should be dropped after detection

of the failure. This test exercises all PHSD functions.

5.1.3 Equipment Configuration

The equipment configuration required for the Type I tests is the MSI PEPE/

CDC-7600/RIC equipment configuration shown in Figure 1 of this document.

5.1.4 Search Volume

The search volume associated with the SVM Model is assumed to consist of

three search sectors and that the scan rate for each sector can be

specified by the test planner. The scan rates chosen for the BMD effective-

ness tests are as follows:

Search Sector Time Per Scan

1 3.85 sec.

2 2.2 sec.

3 "'1.65 sec.

It should also be noted that all function history calculations are based

on the assumption that the minimum and maximum ranges can be specified

for each search sector.

5.1.5 Tracking Rate

All objects are assumed to be tracked at 20 Hertz (targets and interceptors).

5.1.6 Test Sequence

There are no specific requirements for sequencing the Type I tests. Test 8,

the most complex test, exercises all required PHSD logic branches. Therefore,

satisfactory completion of test 8 obviates the other seven tests.

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5.1.7 Type I Tests - Detailed Test Plan

A detailed description of the Type I tests plans for the SVM Model follows.

The acceptance critsria (i.e., nominal functional history) is included for

each test.

5.1.7.1 Test 1 (Reference GRC Scenario 11). The attack plan for test 1

consists of a single RV entering search sector 3 at beam position 300. The

RV is classified as a non-radar threat (NRT). The RV enters the volume

at 2985 seconds and its range at entry is 92 km. The RV's speed is 7100ml/s

throughout the exercise.

The mini•um and maximum search ranges for search sector 3 are:

Minimua range 66 km.

Maximum range 92 km.

No missile failures occurred during this test. The interceptor speed is

2360m/s.

The nominal function history for test 1 is presented in Table 5.2.

ENGAGEMENT TIME (SEC) FNCTION

2985.00 - 2986.65 Initial search/verify hits

2985.02 - 2986.67 Track initiation

2985.12 - 2986.77 Early track

2987.52 - 2989.17 Precision track

2987.52 - 2990.27 MAR sent

2987.67 - 2990.52 LCS sent

2989.72 - 2993.57 Missile track acquired

2995.54 - 2996.35 Missile burst confirmad

299M.54 - 2996.90 Target track dropped

Function History

Table 5.2

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9 5.1.7.2 Test 2 (-Reference CRC Scenario 11). Same as test 1 except that a

prelaunch missile failure occurs on the first missile assigned to the RV.

A second missile is assigned and the mission proceeds without any further

failures.

The functional history for test 2 is presented in Table 5.3. Note that i-

is the same as that for test 1.

ENGAGEMENT TIME (SEC) FUNCTION

2935.00 - 2986.65 Initial search/verify hits

2985.02 - 2986.67 Track initiation

2985.12 - 2986.77 Early Track

2987.52 - 2989.17 Precision track

2987.52 - 2990.27 MAR sent

"2987.67 - 2990.52 LCS sent

2989.72 - 2993.57 Missile track acquired

2995.54 - 2996.35 Missile burst confirmed

2995.54 - 2996.90 Target track dropped

Function History

Table 5.3

5.1.7.3 Test 3 (Referr-ice CRC Scenario 11). This test is basically the same

as test 1. The only difference being that a failure occurs in the first

interceptor assigned to the target at 2.75 seconds after launch. A second

interceptor is not assigned to this target since it is classified as a

non-radar threat (NRT). The object should be dropped from track after the

failure has been detected.

The nominal function history for test 3 is presented in Table 5.4.

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ENGAGFmNT TIHE (See) FUNCTION

2985.00 - 2986.65 Initial search/verify hits,

2985.02 - 2986.67 Track initiation

2985.12 - 2986.77 Early track

2987.52 - 2989.17 Precision track

2987.52 - 2990.27 MAR sent

2987.67 - 2990.52 LCS sent

2989.72 - 2993.57 Missile track acquired

2990.92 - 2994.32 Missile failure detected

2990.92 - 2994.87 Target track dropped

Function History

STable 5.4

5.1.7.4 Test 4 (Reference GRC Scenario 11). The attack plan for this

test consists of a single RV entering search sector 3 at beam position 300.

The RV is classified as a radar threat .(RT). The first interceptor assigned

to this target has a post launch failure which occurs at 2.75 seconds after

launch. A second interception is to be planned and executed.

The object enters the search volume at 2981 seconds. Its range at entry is

120.4 km. The speed of the target is 7100 m/s.

The search sector range gates for this test are:

Minimum range 94 km

Maximum range 121 km

The interceptor speed is 2360 mls.

The nominal function history for test 4 is presented in Table 5.5.

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ENGAGEMENT TIME (Sec) - FUNCTION

2981.00 - 2982.65 Initial search/verify hits

2981.02 - 2952.67 Track Initiation

2981.12 - 2982.77 Early track

2983.52 - 2985.17 Precision track

2983.52 - 2986.27 MAR sent

2983.67 - 2986.52 LCS sent

2985.72 - 2989.57 Missile track acquired

2986.92 - 2990.32 Missile failure detected

2986.92 - 2990.92 MAR sent

2987.07 - 2992.12 LCS sent

2989.12 - 2994.32 Missile track acquired

2995.32 - 2996.75 Missile brust confirmed

2995.32 - 2997.30 Target track dropped

Function History

Table 5'.5

5.1.7.5 Test 5 (Reference GRC Scenazio L2). The attack plan for test 5

consists of 10 RV's entering search sectors 1 and 3. Six of the RV's areI classifted as radar threats (RT) and four as non-radar threats (NRT). The

* •radar cross section (RCS) on two of the objects goes to zero for about 2 seconds at

the RCS for objects 3 and 4 is zero during the time intervals 2973.50 - 2975.40seccrds and 2981.00 - 2983 seconds respectively. Both of these targets should

cause the Special Acquisition logic to be exercised.

The minimum and maximum search ranges for search sectc:s 1 and 3 for this test

Search Range (km.)Search Sector Minimum Maximum

S105 135

-3 66 98

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All targets have the same speed - 7100 m/s.

All'interceptors have the same speed - 2360 m/s.

No interceptor failures occur during this test.

The threat status, search sector entered, time of entry into search volume,

beam position at entry end range at entry for each object in the test

follows:

'1

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THREAT SEARCH SECTOR TIME OF BEAM RANCE ATOBJECT STATUS ENTERED ENTRY POsITION ENTRY

1 RT 1 2967 50 135

2 RT 1 2971 75 135

3 RT 1 2967 100 135

4 RT 1 2971 125 135

5 RT 1 2967 150 135

6 RT 1 2971 175 135

7 NRT 3 2974 300 98

8 )NRT 3 2974 400 98

9 NPT 1 2977 300 135

10 NRT 1 2977 350 135

The anticipated function history for each object is presented in Table

5.6

ENGAG•IENT TIME (Sec) FUNCTION

Object No. 1

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2982.08 - 2983.62 Missile burst confirmed

2982.08 - 2984.17 Target track dropped

-continued--

FUNCTION HISTORY

Table 5.6

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Table 5.6 (continued)

ENGAC MENrT TIHE (Sec) FUNCTION

Object No. 2

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 3

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2973.65 - 2973.75 Special acquisition

2975.40 - 2975.55 Precision track or track initiate

2982.08 - 2983.62 Missile burst confirmed2982.08 - 2984.17 Target track dropped.-

-- continued --

ra

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Table 5.6 (continued)

ENCAGEENT TIME (Sec) FUNCTION

Object No. 42971.00 - 2974.58 Initial search/verify hits2971.02 - 2974.60 Track initiation2971.12 - 2974.70 Early track2973.52 - 2977.10 Precision track2973.52 - 2978.20 MAR sent2973.67 - 2979.40 LCS sent2975.72 - 2981.60 Missile track acquired2981.15 - 2981.25 Special acquisition2983.00 - 2983.15 Precision track or track initiate2986.08 - 2987.62 Missile burst confirmed2986.08 - 2988.17 Target track dropped

Obj ect -o. s2967.00 - 2970.58 Initial search/verify hits2967.02 - 2970.60 Track initiation2967.12 - 2970.70 Early track2969.52 - 2973.10 Precision track2969.52 - 2974.20 MAR sent2969.67 - 2975.40 LCS sent2971.72 - 2977.60 Missile track acquired2982.08 - 2983.62 Missile burst confirmed2982.08 - 2984.17 Target track dropped

-- continued -

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Table 5.6 (continuted)

"" ENGAGEaIET TIME (Sec) FUNCTION

Object No. 6

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 7

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

29V5.17 - 2986.23 Missile burst confirmed

2985.17 - 2986.78 Target track dropped

Object No. 8

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation -

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent4

2978.72 - 2982.67 Missile track acquired

2985.17 - 2986.23 Missile burst confirmed

"2985.17 - 2986.78 Target track dropped

-- continued -

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EMQACDOT TIME (Sec) FUNCTION

Object Ho. 9

2977.00 - 2980.58 Initial search/verify hits

2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 MAR sent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Missile track acquired

2992.08 - 2993.62 Missile burst confirmed

2992.08 - 2994.17 -Target track dropped

Object No. 10

2977.00 - 2980.58 Initial search/verify hits

2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 . ARsent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Missile track acquired

2992.08 - 2993.62 Missile burst confirmed

2992.08 - 2994.17 Target track dropped

5.1.7.6 Test 6 (Reference GRC Scenario 12). This test is basically the same

as test 5 except for a post launch failure on three interceptors. The targets

enter exactly the same way as in test 5; the same entry point., same ranges

and the same times. The target threat status is the same as in test 5. The

targets enter at the same speed.

The radar cross section (ROS) for objects 3 and 4 goes to zero for the same

period of time.

The only difference is that in test 6 a post launch missile failure occurs

in the first missile assigned to objects 1, 2, and 7. The missile failure

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time for each object is:

Object Failure after Launch

1 3.5 sec.

2 3.0 sec.7 2.75 sec.

A second interception should be planned and executed against objects 1 and

2 since they are radar attackers. Object 7 should be dropped from track

after the missile failure has been detected.

The interceptor speeds for test 6 are the same as those for test 5.

The function history for each object in test 6 is presented in Table 5.7.

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 1

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2973.67 - 2979.95 Missile failure detected

2973.67 - 2980.55 MAR sent

2973.82 - 2981.75 .LCS sent

S2975.87 - 2983.95 Missile track acquired

2983.12 - 2985.20 Missile burst confirmed

2983.12 - 2985.75 Target track dropped

- continued --

ji Function HistoryTable 5.7

•'AT

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Table 5.7 (continued)

ENGAGEMENT TIME (See) FWINCTION

Object No. 2

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 HA sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2977.17 - 2983.45 Missile failure detected

2977.17 - 2984.05 MAR sent

2977.32 -. 2985.25 LCS sent

2979.37 - 2987.45 Missile track acquired

2986.99 - 2989.18 Missile burst confirmed

2986.99 - 2989.73 Target track dropped

Object No. 3

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MAR sent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2973.65 - 2973.75 Special acquisition

2975.40 - 2975.55 Precision track or track initiate

2982.08 - 2983.62 Missile burst confirmed

2982.08 - 2984.17 Target track dropped

$-- continued

4-

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* Table 5.7 (continued)

ENGACM TIME (Sec) FUNCTION

Object No. 4

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 29Y9.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2981.15 - 2981.25 Special acquisition

2983.00 - 2983.15 Precision track or track initiate

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 5

2967.00 - 2970.58 Initial search/verify hits

2967.02 - 2970.60 "Track initiation

2967.12 - 2970.70 Early track

2969.52 - 2973.10 Precision track

2969.52 - 2974.20 MARsent

2969.67 - 2975.40 LCS sent

2971.72 - 2977.60 Missile track acquired

2982.08 - 2983.62 Missile burst confirmed

2982.08 - 2984.17 Target track dropped

-- continued --

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Table 5.7 (continued)

ENGAGEMENT TIME (See) FUNCTION

Object No. 6

.2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation

2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired

2986.08 - 2987.62 Missile burst confirmed

2986.08 - 2988.17 Target track dropped

Object No. 7

2974.00 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2979.82 - 2984.27 Missile failure detected

2979.82 - 2984.82 Target track dropped

Object No. 8

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent2978.72 - 2982.67 Missile track acquired

2985.17 - 2986.23 Missile burst confirmed

2985.17 - 2986.78 Target track dropped

-- continued -

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*0 Table 5.7 (continued)

ENGACDZNT TIMl (Sec) PUNCTION

Object No. 9

2977.00 - 2980.58 Initial search/verify hits

2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 MAX sent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Missile track acquired

2992.08 - 2993.62 Missile burst confirmed

2992.08 - 2994.17 Target track dropped

Object No. 10

2977.00 - 2980.58 Initial search/verify hits

2977.02 - 2980.60 Track initiation

2977.12 - 2980.70 Early track

2979.52 - 2983.10 Precision track

2979.52 - 2984.20 MAk sent

2979.67 - 2985.40 LCS sent

2981.72 - 2987.60 Misasile track acquired

2992.08 - 2993.62 Missile burst confirmed

2992.08 - 2994.17 Target track dropped

5.1.7.7 Test 7 (Reference CRC Scenario 13). The attack plan for test 7

consists of 17 objects; 3 radar threats (RT), 8 non-radar threats (NRT),

and 6 non-threatening objects (NT). The objects enter all three sectors

of the search volume. The entry characteristics of each object follows:

THREAT SEARCH SECTOR ENTRY BEAM ENTRYOBJECT STATUS ENTERED TIME POSITION RANGE

1 NIT 3 2982 100 98

2 RT 1 2969 50 135

4 3 NRT 2 2974 20 118

4 NRT 2 2974 40 115

S...... ... . . .. .. .: . ... ... :2 .... . . .. .. .. i = 21 ..... i• 2 ;• : .21.;• • .... .. ..L 2 ... ... .. .... . " . .. ... .. .;... .. .2 .. .. .. . i I

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THREAT SEARCH SECTOR ENTRY BEAM ENTRYOBJECT STATUS ENTERED TIM POSITION RANGE

5 NET 1 2970 200 135

6 NT 2 2974 60 125

7 NT 2 2973 80 121%

8 NT 2 2975 100 125

9 RT 1 2971 250 135

10 NIT 2 2973 120 120

11 RT 2 2973 140 119

12 NRT 2 2974 160 123

13 NT 2 2978 180 115

14 NT 3 2975 200 108

15 NRT 3 2974 300 104

16 NT 2 2973 200 125

17 NRT 2 2975 220 120

The entry speed for all objects is the same - 7100 m/s.

The minimum and maximum ranges for each search sector for test 7 are:

Range (kim)"Search Sector Minimum Maximum

1 105.- 135

2 85 125

3 75 110

Notice that during this test, the objects do not always enter at the maximum

range of the search sector. The reason for doing this is to control the

amount of time that each object spends in the search volume.

The radar cross section (RCS) for object 9 is zero during the interval

"2980.00 - 2982.00 seconds. This object should exercise the Special

Acquisition path of the tactical logic.

Objects 6, 7, 8, 13, 14, and 16 are non-threatening objects and should be

placed in Track While Scan. They should be dropped from track after leaving

the search volume.

• .... .~ -. . • • • . - =• • .: - -. " " . -2 . .. .... . •

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9 No interceptor failures occur in this test. All interceptors fly at

2360 m/s.

The function history for each object is presented In Table 5.8

ERGAGEMM TIME (Sec) FUNCTION

_Obect No. I

2982.00 - 2983.65 W tial search/verify hits

2982.02 - 2983.67 Track initiation

2982.12 - 2983.77 Early track

2984.52 - 2986.17 Precision track

2984.52 - 2987.27 MAR sent

2984.67 - 2988.47 LCS sent

2986.72 - 2990.67 Missile track acquired

2993.17 - 2994.24 Missile burst confirmed

2993.17 - 2994.79 Target track dropped

Object 1o. 2

2969.00 - 2972.58 InitIal.searcb/verify hits

2969.02 - 2972.60 Track initiation

2969.12 - 2972.70 Early track

2971.52 - 2975.10 Precision track

2971.52 - 2976.20 MAR sent

2971.67 - 2977.40 LCS sent

2973.72 - 2979.60 Missile track acquired

2984.08 - 2985.62 Missile burst confirmed

2984.08 - 2986.17 Target track dropped

-- continued--

Function History

Table 5.8

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Table 5.8 (continued)

ENGAGEMENT TIME (Set) FUNCTION

Object No. 3

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 128 sent

2978.72 - 2983.12 Missile track acquired

2986.23 - 2988.92 Missile burst confirmed

2986.23 - 2989.47 Target track dropped

Object No. 4

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 -. 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.22 Missile track acquired

2986.97 - 2988.61 Missile burst confirmed

2986.97 - 2989.16 Target track dropped

"Object No. 5

"2970.00 - 2973.58 Initial search/verify hits

2970.02 - 2973.60 Track initiation

2970.12 - 2973.70 Early track

2972.52 - 2976.10 Precision track2972.52 - 2977.20 MAR sent

2972.67 - 2978.40 LCS sent

2974.72- 2980.60 Missile track acquired2985.08 - 2986.62 Missile burst confirmed

.2985.08 - 2987.17 Target track dropped

c- ontinuedt |

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Table 5.8 (Continued)

.ENAcEKMir TIME (See) FUNCTION

Object No. 6

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Track while scan

2979.63 - 2981.83 Drop track while scan

Object No- 7

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Track while scan

2978.63 - 2980.83 Drop track while scan

Object No. 8

2975.00 - 2977.20 Initial search/verify hits

2975.02 - 2977.22 Track initiation

2975.12 - 2977.32 .Early track

2977.52 - 2979.72 Track while scan

2980.63 - 2982.83 Drop track while scan

Object No. 9

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation2971.12 - 2974.70 Early track2973.52 - 2977.10 Precision track

2073.52 - 2978.20 MAR sent

, 973.67 - 2979.40 LCS sent

2975.72 - 2981.60 Missile track acquired2980.15 - 2980.25 Special acquisition

2982.00 -2982.15 Precision track or track initiate2986.08 - 2987.62 Missile burst confirmed

( 2986.08 - 2988.17 Target track dropped

- continued --

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Table 5.8 (continued)

ENGAGFMENT TIME (Sec) )VNCTION

Lbject No. 10 -

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Precision track

2975.52 - 2978.82 MJR sent

2975.67 - 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.60 - 2988.18 Missile burst confirmed

2986.60 - 2988.68 Target track dropped

Object No. 11

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.12 Track initiation

2973.12 - 2j75.32 Early track

2975.52 - 2977.72 Precision track

2975.52 - 2978.82 MAR sent

2975.67 - 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.39 - 2988.03 Missile burst confirmed

2986.39 - 2988.58 Target track dropped

Object No. 12

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MARj sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.22 Missile track acquired2986.55 - 2989.45 Missile burst confirmed

2986.55 - 2990.00 Target track dropped

c--ontinued -

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Table 5.8 (continued)

ENGAGDEENT TIME (See) FUNCTION

Object No. 13

29;8.00 - 2980.20 Initial search/verify hits

M978.02 - 2980.22 Track initiation

2978.12 - 2980.32 Early track

2980.52 - 2982.72 Track while scan

2982.23 - 2984.43 Drop track while scan

SOject No. 14

2975.00 - 2976.65 Initial search/verify bits

2975.02 - 2976.67 Track initiation

2975.12 - 2976.77 Early track

2977.52 - 2979.17 Track while scan

2980.65 - 2982.30 Drop track while scan

Object No. 15

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2985.81 - 2986.86 Missile burst confirmed2985.81 - 2987.41 Target track dropped

Object No. 16

2973.00 -2975.20 Initial search/verify hits

2973.02 -2975.22 Track initiation2973.12 -2975.32 Early track

2975.52 -2977.72 Track while scan

2978.63 .- 2980.83 Drop track while scan

-- continued -

I:

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Table 5.8 (continued)

ENGAGEMENT TIME (Sec) FUNCTION

Object No. 17

2975.00 - 2977.20 Initial search/verify hits

2975.02 - 2977.22 Track initiation

2975.12 - 2977.32 Early track

2977.52 - 2979.72 Precision track

2977.52 - 2980.82 MAR sent

2977.67 - 2982.02 LCS sent

2979.72 - 2984.22 Missile track acquired

2987.55 - 2990.13 Missile burst confirmed

2987.55 - 2990.63 Target track dropped

5.1.7.8 Test 8 (Reference CRC Scenario 13). This test is exactly the same

as test 7 except that three interceptors fail in flight. Two of the failures

are against radar attackers and one against a non-radar threat. A second

interception should be planned and executed against the radar attackers.

The NRT object should be dropped from track as soon as the failure is detected.

The failures are associated with interceptors assigned to objects 2, 5, and

9. All failures occur at 2.75 seconds after launch.

Note,: If everything works as expected, these failures should occur in the

first three missiles launched with the first interceptor assigned to object

4 2, the second to object 5 and the third to object 9.

The RCS on object 9 goes to zero for the same period of time as in test 7.

The expected function history for each object is test 8 is presented in

Table 5.9.

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ENCAGEHENT TIME (Sec) FUNCTION

Object No. 1

2982.00 - 2983.65 Initial search/verify hits

2982.02 - 2983.67 Track initiation

2982.12 - 2983.77 Early track

2984.52 - 2986.17 Precision track

2984.52 - 2987.27 MAR sent

2984.67 - 2988.47 LCS sent

2986.72 - 2990.67 Missile track acquired

2993.17 - 2994.24 Missile burst confirmed

2993.17 - 2994.79 Target track dropped

Obect No. 2

2969.00 - 2972.58 Initial search/verify hits

2969.02 - 2972.60 Track initiation

2969.12 - 2972.70 Early track

2971.52 - 2975.10 Precision track

2971.52 - 2976.20 MAR sent

2971.67 - 2977.40 LCS sent

2973.72 - 2979.60 Missile track acquired

2974.92 - 2981.20 Missile failure detected

2974.92 - 2981.80 MAR sent

2975.07 - 2983.00 LCS sent

2977.12 - 2985.20 Missile in track

2984.93 - 2987.01 Missile burst confirmed

2984.-3 - 2987.56 Target track dropped

- continued -

Function History

Table 5.9

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Table 5.9 (continued)

9 ENGAGEMENT TIME (Sec) FUNCTION

Object No. 3

2974.00 - 2976.20 Initial search/verliy hits

2974.02 - 2976.22 Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Precision track

2976.52 -; 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 - 2983.22 Missile track acquired2986.23 - 2988.92 Missile burst confirmed

2986.23 - 2989.47 Target track dropped

abect No. 4

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976.22 Track initiation

2974.12 ,2976.32 Early track

42976.52 2978.72 Precision track

2976.52 2979.82 MR sent

2976.67 - 2981.02 iOS sent

2978.72 - 2983.22 Missile track acquired2986.97 - 2988.61 Missile burst confirmed

2986.97 - 2989.16 Target track dropped

Object No. 5

2970.00 - 2973.58 Initial search/verify hits2970.02 - 2973.60 Track initiation2970.12 - 2973.70 Early track

2972.52 - 2976.10 Precision track

2972.52 - 2977.20 MAR sent

2972.67 - 2978.40 LCS sent

2974.72 - 2980.60 Missile track acquired2975.92 - 2982.20 Missile failure detected

2975.92 - 2982.75 Target track dropped

&,T-...contlnued

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Table 5.9 (continued)

• '-9 •(CACEDMNT TIME (See) MCTION

ObJect No. 6

2974.00 -2976.20 Initial search/verify hits

2974.02 - 2976.22 -Track initiation

2974.12 - 2976.32 Early track

2976.52 - 2978.72 Track while scanS2979.63 - 2981.83 Drop track while scan

Object No. 7

2973.00 - 2975.20 Initial search/verlfy hits

2973.02 - 2975.22 Track initiation

* 2973.12 - 2975.32 Early track

2975.52 - 2977.72 Track while scan

2978.63 - 2980.83 Drop track while scan

Object No. 8

2975.00 - 2977.20 Initial search/verify hits

2975.02 - 2977.22 Track initiation

2975.12 - 2977.32 'Early track

2977.52 - 2979.72 Track while scan

2980.63 - 2982.83 Drop track while scan

Object No. 9

2971.00 - 2974.58 Initial search/verify hits

2971.02 - 2974.60 Track initiation2971.12 - 2974.70 Early track

2973.52 - 2977.10 Precision track

2973.52 - 2978.20 MAR sent

2973.67 - 2979.40 lUS sent

2975.72 - 2981.60 Missile track acquired2976.92 - 2983.20 Missile failure detected2976.92 - 2983.80 MAR sent

2977.07 - 2985.00 =cs sent

A 2979.12 - 2987.20 Missile in track

continued -

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Table 5.9 (continued)

ERIC&CEHMET TIME (Sec) FUNCTION

Object .o. 9 (cont'd.)

2980.1.5 - 2980.25 Special acquisition

"2982.00 - 2982.25 Precision track or track initiation

2986.93 - 2989.01 Missile burst confirmed

2986.93 - 2989.56 Target track dropped

Object No. 10

2973.00 - . 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Precision track

2975.52 -. 2978.82 MR sent

2975.67 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.60 - 2988.18 Missile burst confirmed

2986.60 - 2988.68 Target track dropped

Objest No. 1U

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 Track initiation

2973.12 - 2973.32 Early track

2975.52 - 2977.72 Precision track

2975.52 - 2978.82 MAR sent

2975.67 - 2980.02 LCS sent

2977.72 - 2982.22 Missile track acquired

2986.39 -. 2988.03 Missile burst confirmed

2986.39 - 2988.58 Target track dropped

. --- continued

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-413173 -39- TM-HU-048t502100

Table 5.9 (Continued)- 9

ENGAGEMENT TIE (See) FUNCTION

Object No. 12

2974.00 - 2976.20 Initial search/verify hits

2974.02 - 2976,22 Track initiation

2974.12 - 2977.32 Early track

2976.52 - 2978.72 Precision track

2976.52 - 2979.82 MAR sent

2976.67 - 2981.02 LCS sent

2978.72 -. 2983.22 Missile track acquired

2986.55 - 2989.45 Missile burst confirmed

2986.55 - 2990.00 Target track dropped

Object No. 13

2978.00 - 2980.20 Initial search/verify hits

2978.02 - 2980.22 Track initiation

2978.12 - 2980.32 Early track

2980.52 - 2982.72 -Track while scan

2982.23 - 2984.43 Drop track while scan

Object Ito. 14

2975.00 - 2976.65 Initial search/verify hits

2975.02 - 2976.67 Track initiation

2975.12 - 2976.77 Early track

2977.52 - 2979.17 Track while scan

2980.65 - 2982.30 Drop track while scan

- continued --

4,

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Table 5.9 (continued)

ZNGACA•FT TUX (Sec) FW1CTIO0

Object No. 15

2974.00 - 2975.65 Initial search/verify hits

2974.02 - 2975.67 Track Initiation

2974.12 - 2975.77 Early track

2976.52 - 2978.17 Precision track

2976.52 - 2979.27 MAR sent

2976.67 - 2980.47 LCS sent

2978.72 - 2982.67 Missile track acquired

2985.81 - 2986.86 Missile burst confirmed

2985.81 7 2987.41 Target track dropped

Object No. 16

2973.00 - 2975.20 Initial search/verify hits

2973.02 - 2975.22 'Track initiation

2973.12 - 2975.32 Early track

2975.52 - 2977.72 Track while scan

2978.63 - 2980.83 Drop track while scan

Object No. 17

2975.00 - 2977.20 Initial search/verify hits

2975.02 - 2977.22 Track Initiation

2975.12 - 2977.32 Early track

2977.52 - 2979.72 Precision track

2977.52 - 2980.82 MAR sent

2977.67 - 2982.02 LCS sent

2979.72 - 2984.22 Missile track acquired2987.55 - 2990.13 Missile burst conf irmied

m 2987.55 - 2990.63 Target track dropped

-- - --•

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* 5.2 HARDWARE VALIDATION TESTS (TYPE IV)

The type IV tests are designed to determine whether or not the MSI PEPE

perferms satisfactorily when executing the PHSD tactical process on the

HSI PEPE/CDC-7600/RIC equipment configuration. Satisfactory performance

in this document means that the MSI PEPE performs better than the 1 mip

IC PEPE. By better performance we mean rhat the program run time on the

HSI PEPE should be less than or equal to those on the IC PEPE and not

as sensitive to system load.

The Hardware Validation test is to be run on both the Calibration Model

and the System Verification Model so that performance comparisons

between the MSI and IC design can be made more easily.

Due to the limited resources available for the simulation effort only

one Hardware Validation test has been specified at this time. Several

others are possible and desirable, however, they must be deferred.

5.2.1 Hardware Validation Test 1.

The performance improvements that result from the HSI design are more

readily apparent under fairly stressing situations, therefore,

Hardware Validation test I will be a test with a large threat. The

length of the scenario should be at least 20 seconds.

5.2.1.1 Threat. The threat for this test should be similar to that

produced by GRC Scenario 14 in which several waves of objects penetrated

the search volume simultaneously. The threat for this test should con-

sist of at least 100 targets.

5.2.1.2 Interceptor. At least 100 interceptors should be available for

this threat. The size of the Calibration Model Guidance ensemble should

be increased to accomnodate at least 150 interceptors.

5.2.1.3 Tracking Rate. All objects (targets and interceptors) shall Le

tracked at 20 Hertz.

I;

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5.2.1.4 Other System Paraaeters. The experimentalists are free to choose

"the values of all other system parameters, e.g., radar block size, however,

they should remain the same for both equipment configurations.

5.2.1.5 Performance Measurements. The objective of the Hardware Validation

test is to determine whether or not the SI PEPE performs satisfactorily

when the PHSD tactical process is executed on the MSI PEPE/CDC 7600/RIC

equipment configuration. The exact meaning of "satisfactory performance"

has not been specified and will depend primarily on judgement. Some guide

lines, however, can be specified and they are:

a. Program run time on the MSI design should be faster than on the

IC design for the same computational load.

b. Program run time on the MSI design should be less sensitive to

apparent computational load than in the IC design (i.e., the

slopes of program run times on the MSI design should be less than

those on the IC design).

c. A single ensemble MSI configuration should be capable of handling

the PHSD problem; that is, the single ensemble MSI configuration

should not run out of data processing resources when executing

the PHSD tactical process on the above equipment configuration.

To evaluate the MSI design the following performance data should be obtained

from both the Calibration Model and the System Verification Model:

a. Target Track Processing - program run time

b. Pulse Allocation - program run time

c. Interceptor Track Processing - program run time

d. Missile Guidance and Control - program run time

e. PEPE accumulation interval

K The above data should be recorded in such a manner that comparison of the

results between the two models is relatively easy. One way of doing this

is to record the program run times as a function of engagement time since

the scenario is exactly the same for both models.

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In addition to the above data, the following resource utilization-information

should be obtained from the System Verification Model:

a. Arithmetic Control Unit utilization

b. Associative Output Control Unit utilization

C. CDC-7600 Host utilization

Resource utilization should measure the amount of time that a given resource

is "busy" during some time interval. The utilization information should be

recorded as a function of engagement time and target load should be

included as part of the data. The base time interval for the utilization

measurements can be either the accumulation interval, or some other convenient

interval such as 100 ms interval.

_4

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""no. , VOL.. le PEOFL u

416 This document was produced by SOC In performance of contract DAHC6072-C031 'Jl-nU- 048 /503/00

D. D. Rudie

1., •• LZ.....YINJ [,>r 4. Cornell

G.) 1R ansena working paper DTE FACE 1

System Development Corporation/4810 Bradford Blvd. N. W. 6 April 1973

Huntsville, Alabama 35805

PEPE FUNCTIONAL SIMULATION

SYSTEM VERIFICATION MODEL

ANALYSIS OF SVM TESTS

This document has not been cleared for open publication.

A-43084 (9/65)

_-W o

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4/6/73 t T-HU-048/503/00

TABLE OF CONTENTS

1.0 INTRODUCTION

2.0 SUMMARY OF TEST RESULTS

3.0 TEST RESULTS-SYSTEM VERIFICATION MODEL

3.1 BMD Effectiveness Tests

3.2 Hardware Validation Tests

L4

-.. . . j '. . . . . .. . . . . . .. . . . . . . .. i . . . / • - :

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1.0 INTRODUCTION

The System Verification Model is a functional simulation model of.the PHSD

tactical process operating on the MS1 PEPE/CDC-7600/RIC equipment configura-

tion. The System Verification Model (SVM) was created by perturbing the

Calibration Model to reflect the architectual characteristics of the MSI PEPE

and the CDC-7600 Host.

This document presents the results of the tests performed on the SVM. Two

sets of tests were performed: WMH Effectiveness tests which check the

logic of the tactical process, and Hardware Validation tests which determine

whether or not the MS1 PEPE performs satisfactory. The SVM test plans are

presented in TM-HU-048/5-2/00.

1.1 RELATED DOCUMENTS

The detailed test plans and the results of the PEPE functional simulations

are presented in a set of four related documents. These documents are:

PEPE Functional Simulation TM-HU-048/500/00

Calibration Model - Detailed

Test Plans

PEPE Functional Simulation TM-HU-048/501/00

Calibration Model - Calibration

Test Results

PEPE Functional Simulation TM-RiJ-048/502/00

System Verification Model-

Detailed Test Plans

PEPE Functional Simulation TM-HU-048/503/00

System Verification Model -

¾} SVM Test Results

A

- - - - - - - - -- - - - - - - -l i it ~ -fr±

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2.0 SUMMARY OF TEST RESULTS

The WM Effectiveness tests performed on the SVM model are the same as those

performed on the Calibration Model, since the tactical process is the same

in both models. The SVM test results are the same as those obtained from

the Calibration Model. This shows that the logic of the tactical process

was preserved during the perturbation of the Calibration Model to the

System Verification Model.

The results of the Hardware Validation test show that the MSI PEPE performs

satisfactorily when executing the PHSD tactical logic on the MSI PEPE/CDC-

7600/RIC equipment configuration. The results of this test show that

(1) programs run faster on the MSI PEPE than on the IC design1 (2) MSI

program run times are less sensitive to system load, (3) Host overhead has

been reduced significantly by placing logic control of the parallel process

in PEPE, (4) both PHSD tracking and weapons functions can be successfully

executed in a single MSI PEPE ensemble, (5) the MSI PEPE can successfully

handle a PHSD problem containing more than 140 targets and 150 interceptors,

and in addition the MSI PEPE has significant reserve capacity that can be

used for larger threats and/or enhanced'algorithms.

The detailed teat results are presented in Section 3.

i.iS

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3.0 TEST RESULTS - SYSTEM VERIFICATION MODEL

3.1 EMD EFFECTIVENESS TEST RESULTS

The System Verification Model has satisfied all BED Effectiveness test

requirements and therefore the PHSD tactical process is said to be properly

implemented on the HSI PEPE/CDC-7600/RIC equipment configuration. All test

requirements were satisfied by a single test - Test 8. The results of this

test are the sae as the results on the Calibration Model. This shows that

the engagement logic remained intact during the perturbation from the

Calibration to the SM model. The detailed results of this test is pre-

sented in Table 3.1. A more detailed discussion of this test is presented

in Section 3.1 of TM-HIU'-048/501/OO.

I

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TABLE 3-1

TEST RESULTS - BND EFFECTIVENSSS TESTS - SVM MODELTEST NUMBER 8

SENCAGEMENT TIME (Sec) FUNCTION

ModelObject No. 1 Times

2982.00 - 2983.65 2982.79 Initial search/verify hits

2982.02 - 2983.67 2982.79 Track Initiation

2982.12 - 2983.77 2982.92 Early track

2984.52 - 2986.17 2985.51 Precision track

2984.52 - 2987.27 2985.80 MAR sent

2984.67 - 2988.47 2986.73 LCS sent

2986.72 - 2990.67 2989.57 Missile track acquired

2993.17 - 2994.24 2993.57 Missile burst confirmed

2993.17 - 2994.79 2993.82 Target track dropped

Object No. 2

" 2969.00 - 2972.58 2969.31 Initial search/verify hits

2969.02 - 2972.60 2969.31 Track initiation

2969.12 - 2972.70 2969.42 Early track

2971.52 - 2975.10 2971.94 Precision track

2971.52 - 2976.20 2972.04 MM cent

2971.67 - 2977.40 2972.94 LCS sent

2973.72 - 2979.60 2975.77 Missile track acquired

2974.92 - 2981.20 2976.49 Missile failure detected

2974.92 - 2981.80 2976.60 MAR sent

2975.07 - 2983.00 2977.49 LCS sent t,42977.12 - 2985.20 2980.32 Missile in track

2984.93 - 2987.01 2985.28 Missile burst confirmed2984.93 - 2987.56 2985.35 Target track dropped

-- continued

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.WhRe-3..L. (continued)

SCACGDf iT TIM (SeC) FtUCTION -

V ModelObect No. 3 Times

2974.00 -2976.20 2974.73 Initial search/verify hits

2974.02 - 2976.22 2974.73 Track Initiation

2974.12 -2976.32 2974.84 Early track

2976.52 - 2978.72 2977.43 Precision track

2976.52 -2979.82 2977.57 MA! sent

2976.67 - 2981.02 2978.50 LCS sent2978.72 -.2983.22 2981.53 Missile track acquired

2986.23 - 2988.92 2987.43 Missile burst confirmed

2986.23 - 2989.47 2987.58 Target track dropped

Object No. 42974.00 - 2976.20 2974.89 Initial search/verify hits

2974-.02 - 2976.22 2974.89 Track initiation

2974.12 -2976.32 2974.99 Early track

2976.52 -2978.72 2977.54 Precision track

2976.52 -2979.82 2977.83 MR seut

2976.67 - 2981.02 2979.62 LCS *eut

2978.72 - 2983.22 2982.45 Missile track acquired

2986.97 -. 2998.61 2987.47 -Missile burst confirmed

2986.97 -. 2989.12 2987.58 Target track dropped

2970.00 - 2973.58 2970.18 IniU~al search/verify hits2970.02 -2973.60 2970.18 Track initiation2970.12 - 2973.70 2970.28 Early track2972.52 - 2976.oO 2972.87 Precision track2972.52 - 2977.20 2973.05 MAR sent

2972.67 -2978.40 2973.91 LCS sent2974.72 - 2980.60 2976.74 .Missile track acquired

2975.92 -2982.20 2977.42 Missile failure detected

2975.92 -2982.75 2977.60 Target track dropped

-- continued -

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.-Tble 3.1 (continue-d)

1*CIEIMT•. TIME (Sec) ",CrION

Object No. 6 Times

.2974.00 - 2976.20 2975.05 initial search/verify hits

2974.02 - 2976.22 2975.05 Track initiation2974.12 - 2976.32 2975.18 Early track

2976.52 - 2978.72 2977.73 Track while scan

2979.63 - 29b1.83 2977.77 Drop track while scan

Object No. 7

2973.00 - 2975.20 2973.32 initifal search/verify hits

2973.02 - 2975.22 2973.32 -Track initiation

2973.12 - 2975.32 2973.42 Early track

2975.52 - 2977.72 2975.97 Track while scau

2978.63 - 2960.83 2979.02 Drop track while scan

Object 11o. 8

2975.00 -* 2977.20 2975.37 initial search/verify hits

2975.02 - 2977.22 2975.37 Track initiation

2975.12 -" 2977.32 2975.48 Early track

2977.52 - 2979.72 2978.13 Track whtile scan

2980.63 - 2982.83 2980.70 Drop track while scan

Object No. 9

2971.00 - 2974.58 2973.59 Uitial search/varify hits

2971.02 - 2974.60 2973.59 Track initiation

2971.12 - 2974.70 2973.72 Early track

2973.52 - 2977.10 2976.27 Precision track

2973.52 - 2978.20 2976.60 Ma sent

2973.67 - 2979.40 2977.45 LCS sent

2975.72 - 2981.60 2980.28 Missile track acquired

2976.92 - 2983.20 2980.81 Missile failure detected

2976.92 - 2983.80 2981.07 Mi sent

2977.07 - 2985.00 2982.17 1= sent

2979.12 - 2987.20 2985.02 VJmle in trackC-ontiue -

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Table 3.1 (continued)

ERIACEHENT TIME (Sec) TO1CTIOfl

Object Wo. 9 (cont'd.) Tives

2980.15 - 2980.25 2980.18 Special acquisition -

2982,00 - 2982.25 2982.24 Precision track or track initiation

-2986.93 - 2989.01 2988.06 Missile burst confirmed

2986.93 - 2989.56 2988.35 Target track dropped

•Oect _No. 102973.00 - 2975.20 2973.63 Initial search/verify hits

2973.02 - 2975.22 2973.63 Track initiation

"2973.12 - 2975.32 2973.76 Early track "

2975.52 - 2977.72 2976.31 Precision track2975.52 -. 2978.82 2976.60 MAE sent

2975.67 • 2980.02 2977.49 LCS sent- 2977.72 - 2982.22 2980.31 Missile track acquired

2986.60 2988.18 2986.62 Missile burst confirmed

2986.60 - 2988.68 2986.84 Target track dropped

mObect No. 11

2973.00 - 2975.20 2973.79 Initial search/verify hJLts

2973.02 - 2975.22 2973.79 Track initiation

2973.12"- 2975.32 2973.91 zarly track•2975.52 - 2977.72 2976.46 Precision track

2975.52 - 2978.82 2976.60 MAR seat

2975.67 - 2980.02 2977.42 LCS sent

2977.72 - 2982.22 2980.27 Missile track acquired

2986.39 - 2988.18 2986.51 Missile burst confirmed

2986.39 - 2988.58 2986.58 Tavgtt track dropped

. -- " Continued -

L0

_____ _____I, -

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Table 3.1 (continued)

ENGAGEMENT TIME (See) FUNCTION

ModelObect Mo. 12 Times

2974.00 - 2976.20 2975.86 Initial search/verify hits

2974.02 - 2976.22 2975.86 Track initiation

2974.12 - 2977.32 2975.96 Early track

*2976.52 - 2978.72 2978.58 Precision track

2976.52 - 2979.82 2978.90 MiAR sent

2976.67 -.2981.02 2979.77 LCS sent

*2978.72 -2983.22 2982.79 Missile track acquired

-2986.55 - 2989.45 2988.43 Missile burst-confirubed

2986.55 - 2990.00 2988.57 Target track dropped

met o. 13

2978.00 -2980.20 2979.81 Initial, search/verify hits

2978.02 - 2980.22 2979.81 Track Initiation

2978.12 - 2980.32 2979.93 "Early track'

2980.52 - 2982.72 2982.52 Track while scan

2982.23 -2984.43 2982.62 Drop track. while scan

Mic N.1

2975.00 - 2976.65 2976.28 Initial search/verify hits

2975.02 - 2976.67 2976.29 Track initiation

2975.12 - 2976.77 2976.41 Early track

2977.52 - 2979.17 2918.92 Track while scan12980.65 - 2982.30 2981.91 Drop track while scan

-continued-

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Table 3.1 (continued)

tHGACD•IET T.IE (Sec) IFIJK CTION

j. bject Ito. 15 l __es

2974.00 - 2975.65 2974.85 Initial search/verify hits

2974.02 - 2975.67 2974.95 Track initiation

2974.12 - 2975.77 2974.95 Early track

2976.52 - 2978.17 2977.57 Precision track

2976.52 - 2979.27 2977.79 MAR sent

2976.67 - 2980.47 2978.73 LCS sent

2978.72 - 2982.67 2981.57 Missile track acquired

2985.81 - 2986.86 2986.06 Missile burst confirmed

2985.81 - 2987.41 2986.36 Target track dropped

Object No. 16

2973.00 - 12975.20 2974.26 Initial search/verify hits

2973.02 - 2975.22 2974.26 Track initiation

2973.12 - 2975.32 2974.39 Early track

2975.52 - 2977.72 2976.98 Track while scan

2978.63 - 2980.83 2979.02 Drop track while scan

Object No. 17

2975.00 - 2977.20 2976.33 nitialt search/verify hits

2975.02 - 2977.22 2976.33 Track initiation

2975.12 - 2977.32 2976.45 Early track

2977.52 - 2979.72 2978.96 Precision track

2977.52 - 2980.92 2979.06 MAX sent

2977.67 - 2982.02 2979.96 = SenTt

2979.72 - 2984.22 2982.81 Missile track acquired

2987.55 - 2990.13 2988.88 Missile burst confirmed

2987.55 -. 2990.63 2989.09 Target track dropped

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3.2 HARDWARE VALIDATION TEST RESULTS

The Hardware Validation test was performed according to the specifications

contained in Section 5.2 of the test plan (TH-HU-048/502/00). T11 results

of this test show that the HSI FEPE provides satisfactory performance for

the execution of the PHSD tactical process on the HSI PEPE/CDC-7600/RIC

equipment configuration. The specific conclusions that can be drawn from

the Hardware Validation test are:

1. A single ensemble HSI PEPE configuration is capable of satisfying

all deadline constraints for the PHSD process under heavy

load conditions - more than 100 objects (targets + interceptors)

in track.

2. The tactical programs execute (run) faster on the MSI design

than on the IC design. (See Figures 1, 3, and 4.) The reasons

for this are:

a. The execution time of some of the PEPE instructions is

* faster in the HSI design (e.g. multiply instruction).

b. Logic control for the parallel programs reside in MSI

PEPE sequential control units rather than in the Host.

This is a significant factor. In the IC design logic

control for the parallel program was in the Host computer.

Whenever a logic decision is required for the continued

execution of the perallel process, the necessary data

had to be sent to the Host over the PEPE/Host interface

(e.g. channel). This operation would cause an I/0

interrupt in the Host. The Host would respond to this

interrupt by suspending (or terminating) the current task,

read the data from FEPE, initiate the proper program to

process the data, the program would create a PEPE response

(decide which parallel instructions are to be executed

next), initiate an I/0 interrupt in order to send the

information to PEPE, and then send the information over

the PEPE/Host interface. If the frequency of this

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interchange is high (as in the Pulse Allocation Program)

and the I/0 overhead in the Host is large compared to the

amount of parallel code executed in each burst of parallel

code, then the total execution time of the program will

increase significantly. This situation occurs when the

CDC-7600 is the Host computer for the IC PEPE.

The MSI design has eliminated all of this channel and I/0

overhead by controlling the parallel process in PEPE

rather than in the Host. This in turn reduces the

execution time of the tactical programs, especially the

Pulse Allocation Program (Figure 2).

c. The addition of the Associative Output Control unit in the

MSI PEPE permits the concurrent operation of arithmetic

and output functions. The total (elapsed) run time of a

program can be reduced by partitioning the program into

its arithmetic and output components and overlapping the

operation of the arithmetic and associative output control

units. This capability has caused a significant reduction

in the run time of thePulse Allocation Program (Figure 2).

d. The MSI design permits the operation of both the tracking

and weapons functions on a single ensemble, This eliminates

the requirement for inter-ensemble communications which

in turn reduces the run time for some programs; e.g. targettrack processing (Figure 1), and eliminates the need for

other programs; e.g. Interceptor Pulse Request Program.

3. In addition to having faster run times, the results of this test

show run times of programs operating on the MSI PEPE are less

sensitive to system load than the same program operating on the

IC design. That is, the slope of the growth curve as a function

, :of system load is less on the MSI design. This is especially true

4' for the Target Track Processing and Pulse Allocation Programs.

4t

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The run time for the Target Track Processing (Kalman filter)

is a function of system load in the IC design. The reason

for this is the two ensemble configuration. The updated

target state vectors must be passed to the weapons (Guidance)

ensemble. Since the output time (from the track ensemble) is

included in the program run time, it is load dependent. Since

a single ensemble configuration is possible with the MSI

design no inter-ensemble communication is required and thus

the run time of the Target Track Processing Program is independent

of system load for the MSI design (Figure .).

Partitioning the Pulse Allocation algorithm into its arithmetic

and output functions and implementing them on the Arithmetic Unit

and Associative Output Unit not only reduces the program run

time but makes the execution time less sensitive to system load

(Figure 2).

4. The results of the test show that the potential parallelism

is greater in the MSI design than the IC design. This is shown

by the fact that th'e accumulation interval is longer in the MSI

design than in the IC design (Figure 5).

5. The results of this test show that the single ensemble MS1 PEPE/

CDC-7600/RIC equipment configuration has sufficient capacity

for the PHSD problem even under heavy load conditions of more

than 100 objects (targets + interceptors) in track at the

same time. This can be seen from the utilization charts for

the PEPE arithmetic and associative output control units and for

the Host (Figures 6, 8, and 9 respectively). These results also

show that both PEPE and the Host have significant reserve

capacity which could be used for even heavier loads or enhanced

tactical logic.

' ' I

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The threat for the Hardware Validation test contained 144 objects

which entered the search volume in 12 waves of 12 RVs per wave

at 2.1 second intervals. The interceptor capacity wasincreased

to 150 missiles to cope with this threat. The engagement lasts

30 seconds. This test was run on both the Calibration and SVM

models. A comparison of some results obtained from the

Calibration and SVM models follows. However, before getting

into the results of the test it should be remembered that the

equipment configuration for the Calibration Model contained two

PEPE ensembles of the IC (2 control units) design and that the

configuration for the SVM model contains one PEPE ensemble of

the MSI (3 control unit) design. It should also be remembered

that the host computer for the Calibration Model is a special

purpose computer which is conducive to instruction streaming

whereas the host computer for the MSI PEPE, CDC-7600, is general

purpose computer and less conducive to instruction streaming.

Thus, one must be careful when comparing the results from the

Calibration Model with those obtained from the System Verification

Model.

3.2.1 Target Track Processing (Kalman Filter)

Figure I shows the execution time of the Target Track Processing Program

for the Hardware Validation test. It shows the execution time for the

program from both the Calibration and SVM models under identical conditions.

As can be seen from Figure 1, the run time (sequential + parallel) of the

program in the Calibration Model remains constant at about 3.8 ms for the

first three seconds of the engagement. After that time the updated state4l: vector for the targets must be passed to the Guidance ensemble- The uniformly

arriving threat causes a linear increase in the program run time up to

approximately 6 ms at about 15 seconds into the engagement. There are

approximately 80 objects in track at this point. After this time (15 seconds)

the run time of the program gradually decreases as successful kills are

( made.

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The executioD time on the SVM model, on the other hand, is constant

throughout the entire iuission and significantely lower with an execution

time of about 2.6 ms. The small ripples in the program run time "are

caused by the execution of track initiation and state vector updates

for the search correlation program. The track initiation program has

been combined with the Kalman filter in the System Verification Model and

thus whenever track initiation are performed there is a slight increase

in the run time of the Target Track Processing Program. This causes the

larger "bumps" in the curve.

1'1

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3.2.2 Pulse Allocation

Figure 2 presents a comparison of the run times for the Pulse Allocation

Program for the Hardware Validation test. It shows the run time Tor the

Calibration model and the SVM model. As can be seen from Figure 2 the

run time for the program in the SVM model is significantly less

than for the Calibration model. In addition, it is less sensitive to

system load. The two most significant reasons for the improved per-

formance in the System Verification Model are: (l) the addition of the

Associative Output Control Unit in the MSI PEPE permits an overlapping

of the arithmetic and output functions in pulse allocation, and (2) placing

logic control of the parallel process in PEPE greately reduces the com-

munication frequency between PEPE and the Host.

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3.2.3 Interceptor Track Processing (Missile Tracking)

Figure 3 presents a comparison of the run time for the Interceptor Track

Processing Program for the Hardware Validation test. The improved per-

formance by the SVM model is a direct result of faster instructions in

the MS1 PEPE, especially for the floating point multiply.

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3.2.4 Missile Guidance and Control

The results of the Hardware Validation test for the Missile Guidance

and Control Program are presented in Figure 4. This data shows that

the program run time is significantly lower for the SVM. Most of the

improvement is the result of a faster multiply instruction in the

MSI PEPE.

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3.2.5 PEPE Accumulation Interval

Figure 5 presents a comparison of the PEPE accumulation interval~for the

Hardware Validation test. This figure shows that the accumulation interval

for the System Verification model is approximately 4 ms (or 10Z) longer

than the accumulation interval for the Calibration Model. Since the

length of the accumulation interval is a measure of potential parallelism

and the longer the accumulation interval the greater the potential

parallelism, the performance characteristics of the MSI PEPE are superior

to those of the IC design.

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3.2.6 Resource Utilization - System Verification Model

Resource utilization measurements were made on three components of the

System Verification Model: the Arithmetic Control Unit, the Associative

Output Control Unit, and the CDC-7600 Host. The System Verification

Model resource utilization is defined to be the amount (percentage) of time

that the component is busy during some time interval. The time interval

selected for the SVM Model was 100 ms.

Figure 6 shows the ACU utilization during the Hardware Validation test.

It shows the average ACU utilization for each second during the 30 second

test. The track (target + interceptor) load has also been plotted in

Figure 6 so that ACU utilization can be compared with track load.

The average ACU utilization for the entire test was 18.6%. The maximum

utilization during any one 100 ms interval was 72.8%. This occurred once

during the test. Figure 7 shows how the 100 ms ACU utilization are

distributed. This figure shows, for example, that in 702 of the 100 ms

intervals, the ACU utilization was between 10 and 10.99%. Less than

10% of the 100 ms intervals have an utilization greater than 30%, theref.::,

one can conclude that the ACU has significant reserve capacity for the

case in which the tracking and weapons functions for the PHSD tactical

process are executied in a single ensemble and the track load reaches

95 objects. This reserve capacity could be used for even larger target

loads and/or enhanced algorithms.

An examination of the data contained in Figure 6 shows that there is

very little relation between the track load and the ACU utilization.

Very large increases in the track load have little or no affect on

the ACU utilization. For example, the track load increases by a factor of

7 between 3rd and 15th second of the mission, however, the average

ACU utilization shows very little increase.

The fluctuations in the ACU utilization are caused by the weapon functions

which operate on a more or less irregular basis (at least when compared

to the track functions). Tr.e ACU utilization can increase significantly

when the track and weapons functions operate in the same cycle. For

example, the arrival of the first wave of objects causes a series of

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weapons functions to be executed at the third second of the mission.

This caused the ACU utilization to increase from 10% to about 22%.

The execution frequency of the weapons functions increases with mission

time and therefore we have a gradual increase in the ACU utilization.

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DISTRIBUTION OF ACU UTILIZATION

HARDWARE VALIDATION TEST 1

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Figure 8 shows the utilization of the Associative Output Unit for the

Hardware Validation test. As can be seen from Figure 8, the utilization

of the AOU remains low and almost constant throughout the entire'test.

It starts at less than 10% and gradually increaes to slightly more than

, .15%. The average utilization is 11.3%. The maximum utilization during

any one 100 ms interval is 16.7%. This occurred twice during the test.

Comparing the AOU utilization with the work load we can see that it is

almost independent of the track work load.

It is clear from Figure 8 that the AOU has significant reserve capacity

for other functions.

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The utilization of the CDC-7600 Host during the Hardware Validation test

is shown in Figure 9. The Host utilization is very low and not dependent

I on the track load. The average utilization of the test was 0.6%. The

maximum utilization was 2.8%. It occurred once during the test. The

primary function of the Host in this configuration was the execution of

the real time operating system. The Host has significant reserve capacity

for other functions.

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