A HARDWARE LAB COMPANION PROGRAMEmona Signals & Systems Experiments

EMONA Information Sheet

Hands-on hardware experiments teaching complex mathconcepts easily with real signals in real time

EMONA INSTRUMENTSwww.emona-tims.com

HARDWARE EXPERIMENTS EXPLOREw Both Continuous-time and Discrete-time systemsw And key topics covering:

Linearity - Convolution - Correlation - Fourier - Laplace - z-Transforms

Experiments for engineering and science students in:Electrical Engineering - Engineering Technology - Mechanical Engineering

Signals and Systems is a fundamental course for engineers and scientists which introducesstudents to analog and digital signal processing, a topic that forms an integral part ofengineering systems across many diverse disciplines, including communications, imageprocessing, speech processing, seismic data processing, defense electronics, consumerelectronics, biomedical engineering and consumer products.

The Emona TIMS Signals & Systems Lab Manual will facilitate student understanding in:

w The terminology of signals and basic engineeringsystems.

w Signal representation techniques and signalcharacteristics.

w The difference and the applications of analogversus discrete signals and the conversion betweenthem.

w The process of sampling and the effects ofundersampling.

w Convolution, Complex Numbers, Correlation,Fourier, Laplace and z-plane poles & zeros.

w The application of transforms in signals andsystems analysis, characterization, and manipulation.

w The math behind Fourier, Laplace and z-transforms through hands-on experience.

Signals & Systems Lab Program

2 • EMONA TIMS S&S experiments • www.emona-tims.com

Modeling experiments with TIMS clarifies important principles

Lab 1: Introduction to TIMS S&S modulesLab 2: Special signals – characteristicsand applications

Lab 3: Systems: Linear and non-linearLab 4: Unraveling convolutionLab 5: Integration, convolution,correlation & matched filters

Lab 6: Exploring complex numbers andexponentials

Lab 7: Build a Fourier series analyzer Lab 8: Spectrum analysis of signals

Lab 9: Poles and zeros in Laplacedomain

Lab 10: Sampling and AliasingLab 11: Getting started with analog-to-digital conversion

Lab 12: Discrete-time filters – FIRLab 13: Poles and zeros in the z-plane: IIR forms

Appendix: TIMS Lab Manual to Textbookchapter comparison table

TIMS Signals & Systems Experiment Topics

The TIMS Signals & Systems lab manual is designed to provide a practical “hands-on”,experiential, lab-based component to the theoretical work presented in lectures on the topicstypically covered in introductory signals courses for engineering students.Students take responsibility for the construction of the experiments and “learning by doing” toconsolidate their knowledge of the underpinning theory, which at times is particularly abstract and hardto grasp for these early engineering students. They are not constrained by the software and need to besystematic in debugging their own systems when results do not meet their expectations.

TIMS Signals & Systems Lab Manual

FIR implementation using TIMS modules

www.emona-tims.com • EMONA TIMS S&S experiments • 3

Students see the complex math of this essential topic come to life

TIMS Signals & Systems Hardware ExperimentsTIMS Signals & Systems experiments implement the math and theory taught in lectures. Each TIMS experiment is built, step-by-step. Nothing is “pre-wired”. This TIMS experimental process opensthe opportunity for the student to gain insight and familiarity with the key course concepts.

w THEORY Each chapter of the lab manualpresents the theory as math andblock diagrams, exactly as isgiven in lectures and in signals& systems textbooks.

w HANDS-ON The experiment is then patchedtogether, following the blockdiagrams presented in thetheory. Each chapter provides clearguidance to students on how topatch together and control theexperiment parameters.

w INVESTIGATION Students investigate, varyingphysical parameters andobserving results, enabling themto contrast theory with real-worldmeasurements.Virtual instrumentation providesimmediate time and frequencydomain displays.Students are empowered to try“what-if” scenarios toconsolidate their understanding.

Virtual instrumentation display window, with Soft FrontPanel for setting of hardware coefficient parameters

Hardware patching diagram

Experiments start at the block diagram - in this example, an 2nd-order Direct-form IIR filter

Custom experimentinstrumentation is selectedvia each TAB

Virtual Instrumentationprovides real-time oscilloscopeand spectrum displays

Adjustable gains of thehardware ADDERS forcoefficient setting

Available from: Emona Instruments Pty Ltd78 Parramatta Road 

Camperdown NSW 2050 AUSTRALIA

Tel: +61-2-9519-3933    Fax: +61-2-9550-1378

URL: www.emona-tims.com

Email: sales@emona-tims.com

TIMS logo is a trade mark of Emona TIMS Pty Ltd Specifications & features subject to change without notice. E&OE

(c) cop

yright 201

6 Em

ona Instrum

ents Pty Ltd

TIM

S-S&

S-V2

Rev3.0 Sp

ecifications are subject to change without notice. Printed in Austra

lia

TIMS Lab Manual

Experim

ents

Lathi.B

.P. ,

“Signal P

rocessing &

Linear S

ystems”

, Ox

ford Unive

rsity

Press

Oppenheim

.A.V.,W

ilsky

.A.S.,

“Signals & Sy

stem

s”,

Prentice Ha

ll, 2nd editio

n

Zieme

r.R.E,Tranter

.W.H, Fannin

.D.R,

“Signals & Sy

stem

s :Co

ntinuous & Disc

rete”,

Prentice Ha

ll, 4th editio

n

McClellan.J.H

, Schafer,R.W

.,Yo

der.M

.A.:

“DSP

Firs

t”,

Prentice Ha

ll

Lab 0

2: Sp

ecial

sign

als –

character

istics

and a

pplication

s

1 Intro

duction

to Si

gnals

and S

ystem

sB.2 Sin

usoid

s2.4 Sy

stem

respon

se to

exter

nal

input: z

ero-sta

te respon

se

1 Sig

nals an

d System

s1-3 Sig

nal m

odels

1 Ma

them

atica

l rep

resentation

ofsig

nals

Lab 0

3: Syste

ms: Line

ar and n

on-lin

ear

1 Intro

duction

to Si

gnals

and S

ystem

s1 Sig

nals an

d System

s2 Lin

ear tim

e-inv

arian

t system

s2-2 Prop

ertie

s of s

ystem

s2 Th

inking

abou

t system

s

Lab 0

4: Unrav

eling

conv

olutio

n9.4-1 Gr

aphic

al proced

ure f

or th

econv

olutio

n sum

2.1 Discr

ete-time

LTI system

s: Th

econv

olutio

n sum

8-4 Diffe

rence e

quation

s and

discre

te-tim

e system

s; Ex

ample

8-12

Discr

ete co

nvolu

tion;

10-6 Co

nvolu

tion

5.3.3 Co

nvolu

tion an

d FIR filte

rs

Lab 0

5: In

tegratio

n, co

nvolu

tion,

corre

lation

& m

atched

filte

rs2.4-1 Th

e con

volut

ion in

tegral

3.2 Sig

nal com

paris

on: C

orrelat

ion

2.2 Co

ntinu

ous-t

ime L

TI syste

ms: T

heconv

olutio

n int

egral

2 Lin

ear tim

e-inv

arian

t system

s;

10-6 En

ergy

spectra

l den

sity a

ndau

tocorre

lation

functio

n5.6 Co

nvolu

tion an

d LTI

syste

ms

Lab 0

6: Ex

plorin

g com

plex nu

mbers

and e

xpon

entia

ls

B.1 Co

mplex

num

bers

B.3-1 Mo

notonic

expo

nential

sB.3

-2 The e

xponentially va

rying sin

usoid

1 Sig

nal a

nd sy

stems

: Math revie

w1.3 Ex

pone

ntial

s and

sinu

soida

ls1-3 Ph

asor sign

als an

d spe

ctra

2.5 Co

mplex

expo

nential

s and

phasors

Lab 0

7: Bu

ild a Fo

urier

series an

alyzer

3.4 Tri

gono

metric f

ourie

r series

3.3 Fo

urier

serie

s rep

resentation

ofcontinu

ous-t

ime p

eriod

ic sig

nals

3-3 Tri

gono

metric F

ourie

r series

represen

tatio

ns fo

r period

ic sig

nals

3-4 Th

e com

plex ex

pone

ntial

Fourier

serie

s

3.4.1 Fo

urier

serie

s ana

lysis

Lab 0

8: Sp

ectru

m an

alysis

of va

rious

signa

l typ

es4 Co

ntinu

ous-t

ime s

ignal

analy

sis: T

hefourier

tran

sform

4.1.3 Ex

ample

s of C

ontin

uous-Ti

meFo

urier

tran

sform

s4.5 Fo

urier

tran

sform

theo

rems

3 Sp

ectru

m represen

tatio

n

Lab 0

9: Pole

s and

zeros in the

Lapla

ce do

main

6 Co

ntinu

ous-t

ime s

ystem

analy

sisusing

the L

aplac

e transform

9 Th

e Lap

lace t

ransform

9.4 Ge

ometr

ic ev

aluation

of th

eFo

urier

tran

s. fro

m the p

ole-ze

ro pl

ot6-4 Tra

nsfer f

unction

s-

Lab 1

0: Sa

mplin

g and

Alia

sing

5 Sa

mplin

g8.3 Sa

mplin

g con

tinuo

us-time

sinusoid

and a

liasin

g7 Sa

mplin

g8-2 Sa

mplin

g8-2 Im

pulse

-train

samp

ling m

odel

4 Sa

mplin

g and

alias

ing

Lab 1

1: Gett

ing started

with

analo

g-dig

ital con

versi

on5.1-3 Ap

plicatio

ns of

the s

ampli

ngthe

orem

(Pulse co

de m

odula

tion P

CM)

8.6.3 Digit

al Pu

lse-Amp

litude

(PAM

)an

d Puls

e-Co

de m

odula

tion (PCM

) 8-2 Qu

antiz

ing an

d encod

ing4.4 Discr

ete to

continu

ous c

onve

rsion

Lab 1

2: Disc

rete-

time fi

lters

with FI

Rsyste

ms

11 Disc

rete-

time s

ystem

analy

sisusing

the z

-tran

sform

; 12.1 Freq

respon

se of

discr

ete-time

syste

ms;

12.2 Fr

eq re

spon

se fr

om po

le-zero

location

6.6 Fir

st-orde

r and

second

-order

discre

te tim

e system

s6.7.2 Ex

ample

s of d

iscrete-

time

nonrecursiv

e filte

rs

9-5 De

sign of finit

e-du

ratio

n im

pulse

respon

se (F

IR) d

igital fi

lters

5 FIR

filte

rs

Lab 1

3: Pole

s and

zeros in the z

plan

ewith IIR syste

ms12

Freq

uency r

espo

nse a

nd di

gital

filter

s10

.4 Geo

metric e

val. o

f the

Fourier

transform

from

the p

ole-ze

ro pl

ot9-4 Infin

ite Im

pulse

Respo

nse (

IIR)

filter

desig

n8 IIR

filte

rs

TIMS Experiments-to-Textbooks ComparisonThis table aims to direct users to sections of commonly available text books which contain theory and exercises related toexperiments currently documented and implemented with the TIMS Lab Manual.

ERRORS and OMISSIONS EXCEPTED. The above comparison table is intended as an approximate guide and does not imply endorsement of the authors or publishers.