High-Performance Phase-Locked Loop (Rev. E) - TI.com · The PFD is a high-speed, edge-triggered...

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TLC2932 HIGH-PERFORMANCE PHASE-LOCKED LOOP SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997 1 POST OFFICE BOX 655303 DALLAS, TEXAS 75265 Voltage-Controlled Oscillator (VCO) Section: Complete Oscillator Using Only One External Bias Resistor (R BIAS ) Lock Frequency: 22 MHz to 50 MHz (V DD = 5 V ±5%, T A = – 20°C to 75°C, ×1 Output) 11 MHz to 25 MHz (V DD = 5 V ±5%, T A = – 20°C to 75°C, ×1/2 Output) Output Frequency . . . ×1 and ×1/2 Selectable Phase-Frequency Detector (PFD) Section Includes a High-Speed Edge-Triggered Detector With Internal Charge Pump Independent VCO, PFD Power-Down Mode Thin Small-Outline Package (14 terminal) CMOS Technology Typical Applications: Frequency Synthesis Modulation/Demodulation Fractional Frequency Division Application Report Available ² CMOS Input Logic Level description The TLC2932 is designed for phase-locked-loop (PLL) systems and is composed of a voltage-controlled oscillator (VCO) and an edge-triggered-type phase frequency detector (PFD). The oscillation frequency range of the VCO is set by an external bias resistor (R BIAS ). The VCO has a 1/2 frequency divider at the output stage. The high-speed PFD with internal charge pump detects the phase difference between the reference frequency input and signal frequency input from the external counter. Both the VCO and the PFD have inhibit functions, which can be used as a power-down mode. The TLC2932 is suitable for use as a high-performance PLL due to the high speed and stable oscillation capability of the device. functional block diagram Phase Frequency Detector 4 5 9 6 FIN –A FIN –B PFD INHIBIT PFD OUT Voltage- Controlled Oscillator 12 13 10 3 VCO IN BIAS VCO INHIBIT VCO OUT 2 SELECT AVAILABLE OPTIONS PACKAGE T A SMALL OUTLINE (PW) –20°C to 75°C TLC2932IPWLE Copyright 1997, Texas Instruments Incorporated PRODUCTION DATA information is current as of publication date. Products conform to specifications per the terms of Texas Instruments standard warranty. Production processing does not necessarily include testing of all parameters. Please be aware that an important notice concerning availability, standard warranty, and use in critical applications of Texas Instruments semiconductor products and disclaimers thereto appears at the end of this data sheet. ² TLC2932 Phase-Locked-Loop Building Block With Analog Voltage-Controlled Oscillator and Phase Frequency Detector (SLAA011). 1 2 3 4 5 6 7 14 13 12 11 10 9 8 LOGIC V DD SELECT VCO OUT FIN–A FIN–B PFD OUT LOGIC GND VCO V DD BIAS VCO IN VCO GND VCO INHIBIT PFD INHIBIT NC PW PACKAGE ² (TOP VIEW) NC – No internal connection ² Available in tape and reel only and ordered as the TLC2932IPWLE.

Transcript of High-Performance Phase-Locked Loop (Rev. E) - TI.com · The PFD is a high-speed, edge-triggered...

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

1POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

Voltage-Controlled Oscillator (VCO)Section:– Complete Oscillator Using Only One

External Bias Resistor (R BIAS)– Lock Frequency:

22 MHz to 50 MHz (VDD = 5 V ±5%,TA = –20°C to 75°C, ×1 Output)11 MHz to 25 MHz (VDD = 5 V ±5%,TA = –20°C to 75°C, ×1/2 Output)

– Output Frequency . . . ×1 and ×1/2Selectable

Phase-Frequency Detector (PFD) SectionIncludes a High-Speed Edge-TriggeredDetector With Internal Charge Pump

Independent VCO, PFD Power-Down Mode

Thin Small-Outline Package (14 terminal)

CMOS Technology

Typical Applications:– Frequency Synthesis– Modulation/Demodulation– Fractional Frequency Division

Application Report Available †

CMOS Input Logic Level

description

The TLC2932 is designed for phase-locked-loop (PLL) systems and is composed of a voltage-controlledoscillator (VCO) and an edge-triggered-type phase frequency detector (PFD). The oscillation frequency rangeof the VCO is set by an external bias resistor (RBIAS). The VCO has a 1/2 frequency divider at the output stage.The high-speed PFD with internal charge pump detects the phase difference between the reference frequencyinput and signal frequency input from the external counter. Both the VCO and the PFD have inhibit functions,which can be used as a power-down mode. The TLC2932 is suitable for use as a high-performance PLL dueto the high speed and stable oscillation capability of the device.

functional block diagram

PhaseFrequencyDetector

4

5

9

6FIN–A

FIN–B

PFD INHIBIT

PFD OUT

Voltage-ControlledOscillator

12

13

103

VCO IN

BIAS

VCO INHIBITVCO OUT

2SELECT

AVAILABLE OPTIONS

PACKAGE

TA SMALL OUTLINE(PW)

–20°C to 75°C TLC2932IPWLE

Copyright 1997, Texas Instruments IncorporatedPRODUCTION DATA information is current as of publication date.Products conform to specifications per the terms of Texas Instrumentsstandard warranty. Production processing does not necessarily includetesting of all parameters.

Please be aware that an important notice concerning availability, standard warranty, and use in critical applications ofTexas Instruments semiconductor products and disclaimers thereto appears at the end of this data sheet.

† TLC2932 Phase-Locked-Loop Building Block With Analog Voltage-Controlled Oscillator and Phase Frequency Detector (SLAA011).

1

2

3

4

5

6

7

14

13

12

11

10

9

8

LOGIC VDDSELECT

VCO OUTFIN–AFIN–B

PFD OUTLOGIC GND

VCO VDDBIASVCO INVCO GNDVCO INHIBITPFD INHIBITNC

PW PACKAGE †

(TOP VIEW)

NC – No internal connection

† Available in tape and reel only and ordered as theTLC2932IPWLE.

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

2 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

Terminal Functions

TERMINALI/O DESCRIPTION

NAME NO.I/O DESCRIPTION

FIN–A 4 I Input reference frequency f(REF IN) is applied to FIN–A.

FIN–B 5 I Input for VCO external counter output frequency f(FIN–B). FIN–B is nominally provided from the externalcounter.

LOGIC GND 7 GND for the internal logic.

LOGIC VDD 1 Power supply for the internal logic. This power supply should be separate from VCO VDD to reducecross-coupling between supplies.

NC 8 No internal connection.

PFD INHIBIT 9 I PFD inhibit control. When PFD INHIBIT is high, PFD output is in the high-impedance state, see Table 3.

PFD OUT 6 O PFD output. When the PFD INHIBIT is high, PFD output is in the high-impedance state.

BIAS 13 I Bias supply. An external resistor (RBIAS) between VCO VDD and BIAS supplies bias for adjusting theoscillation frequency range.

SELECT 2 I VCO output frequency select. When SELECT is high, the VCO output frequency is ×1/2 and when low, theoutput frequency is ×1, see Table 1.

VCO IN 12 I VCO control voltage input. Nominally the external loop filter output connects to VCO IN to control VCOoscillation frequency.

VCO INHIBIT 10 I VCO inhibit control. When VCO INHIBIT is high, VCO OUT is low (see Table 2).

VCO GND 11 GND for VCO.

VCO OUT 3 O VCO output. When the VCO INHIBIT is high, VCO output is low.

VCO VDD 14 Power supply for VCO. This power supply should be separated from LOGIC VDD to reduce cross-couplingbetween supplies.

detailed description

VCO oscillation frequency

The VCO oscillation frequency is determined by an external resistor (RBIAS) connected between the VCO VDDand the BIAS terminals. The oscillation frequency and range depends on this resistor value. The bias resistorvalue for the minimum temperature coefficient is nominally 3.3 kΩ with 3-V at the VCO VDD terminal andnominally 2.2 kΩ with 5-V at the VCO VDD terminal. For the lock frequency range refer to the recommendedoperating conditions. Figure 1 shows the typical frequency variation and VCO control voltage.

VCO Oscillation Frequency Range

Bias Resistor (R BIAS)

1/2 VDDVCO Control Voltage (VCO IN)

VC

O O

scill

atio

n F

requ

ency

(f

)os

c

Figure 1. VCO Oscillation Frequency

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

3POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

VCO output frequency 1/2 divider

The TLC2932 SELECT terminal sets the fosc or 1/2 fosc VCO output frequency as shown in Table 1. The 1/2fosc output should be used for minimum VCO output jitter.

Table 1. VCO Output 1/2 Divider Function

SELECT VCO OUTPUT

Low fosc

High 1/2 fosc

VCO inhibit function

The VCO has an externally controlled inhibit function which inhibits the VCO output. A high level on the VCOINHIBIT terminal stops the VCO oscillation and powers down the VCO. The output maintains a low level duringthe power-down mode, refer to Table 2.

Table 2. VCO Inhibit Function

VCO INHIBIT VCO OSCILLATOR VCO OUTPUT IDD(VCO)Low Active Active Normal

High Stopped Low level Power Down

PFD operation

The PFD is a high-speed, edge-triggered detector with an internal charge pump. The PFD detects the phasedifference between two frequency inputs supplied to FIN–A and FIN–B as shown in Figure 2. Nominally thereference is supplied to FIN–A, and the frequency from the external counter output is fed to FIN–B.

FIN–A

FIN–B

PFD OUT

VOH

Hi-Z

VOL

Figure 2. PFD Function Timing Chart

PFD output control

A high level on the PFD INHIBIT terminal places the PFD output in the high-impedance state and the PFD stopsphase detection as shown in Table 3. A high level on the PFD INHIBIT terminal also can be used as thepower-down mode for the PFD.

Table 3. VCO Output Control Function

PFD INHIBIT DETECTION PFD OUTPUT IDD(PFD)Low Active Active Normal

High Stopped Hi-Z Power Down

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

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4 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

schematics

VCO block schematic

BiasControl

VCOOutput

1/2

RBIAS

VCO IN

VCO INHIBIT

VCO OUT

SELECT

BIAS

MUX

PFD block schematic

Detector

Charge Pump

PFD OUT

FIN–A

FIN–B

PFD INHIBIT

VDD

absolute maximum ratings †

Supply voltage (each supply), VDD (see Note 1) 7 V. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Input voltage range (each input), VI (see Note 1) –0.5 V to VDD + 0.5 V. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Input current (each input), II ±20 mA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Output current (each output), IO ±20 mA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Continuous total power dissipation, at (or below) TA = 25°C (see Note 2) 700 mW. . . . . . . . . . . . . . . . . . . . . . . Operating free-air temperature range, TA –20°C to 75°C. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Storage temperature range, Tstg –65°C to 150°C. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Lead temperature 1,6 mm (1/16 inch) from case for 10 seconds 260°C. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

† Stresses beyond those listed under “absolute maximum ratings” may cause permanent damage to the device. These are stress ratings only, andfunctional operation of the device at these or any other conditions beyond those indicated under “recommended operating conditions” is notimplied. Exposure to absolute-maximum-rated conditions for extended periods may affect device reliability.

NOTES: 1. All voltage values are with respect to network GND.2. For operation above 25°C free-air temperature, derate linearly at the rate of 5.6 mW/°C.

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

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recommended operating conditions

PARAMETER MIN NOM MAX UNIT

Supply voltage VDD (each supply see Note 3)VDD = 3 V 2.85 3 3.15

VSupply voltage, VDD (each supply, see Note 3)VDD = 5 V 4.75 5 5.25

V

Input voltage, VI (inputs except VCO IN) 0 VDD V

Output current, IO (each output) 0 ±2 mA

VCO control voltage at VCO IN 0.9 VDD V

Lock frequency (×1 output)VDD = 3 V 14 21

MHzLock frequency (×1 output)VDD = 5 V 22 50

MHz

Lock frequency (×1/2 output)VDD = 3 V 7 10.5

MHzLock frequency (×1/2 output)VDD = 5 V 11 25

MHz

Bias resistor RBIASVDD = 3 V 2.2 3.3 4.3

kΩBias resistor, RBIAS VDD = 5 V 1.5 2.2 3.3kΩ

NOTE 3: It is recommended that the logic supply terminal (LOGIC VDD) and the VCO supply terminal (VCO VDD) should be at the same voltageand separated from each other.

electrical characteristics over recommended operating free-air temperature range, V DD = 3 V(unless otherwise noted)

VCO sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

VOH High-level output voltage IOH = –2 mA 2.4 V

VOL Low-level output voltage IOL = 2 mA 0.3 V

VIT Input threshold voltage at SELECT, VCO INHIBIT 0.9 1.5 2.1 V

II Input current at SELECT, VCO INHIBIT VI = VDD or GND ±1 µA

Zi(VCO IN) Input impedance VCO IN = 1/2 VDD 10 MΩ

IDD(INH) VCO supply current (inhibit) See Note 4 0.01 1 µA

IDD(VCO) VCO supply current See Note 5 5 15 mA

NOTES: 4. Current into VCO VDD, when VCO INHIBIT = VDD, PFD is inhibited.5. Current into VCO VDD, when VCO IN = 1/2 VDD, RBIAS = 3.3 kΩ, VCO INHIBIT = GND, and PFD is inhibited.

PFD sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

VOH High-level output voltage IOH = –2 mA 2.7 V

VOL Low-level output voltage IOL = 2 mA 0.2 V

IOZ High-impedance-state output currentPFD INHIBIT = high,VI = VDD or GND

±1 µA

VIH High-level input voltage at FIN–A, FIN–B 2.7 V

VIL Low-level input voltage at FIN–A, FIN–B 0.5 V

VIT Input threshold voltage at PFD INHIBIT 0.9 1.5 2.1 V

Ci Input capacitance at FIN–A, FIN–B 5 pF

Zi Input impedance at FIN–A, FIN–B 10 MΩ

IDD(Z) High-impedance-state PFD supply current See Note 6 0.01 1 µA

IDD(PFD) PFD supply current See Note 7 0.1 1.5 mA

NOTES: 6. Current into LOGIC VDD, when FIN–A, FIN–B = GND, PFD INHIBIT = VDD, no load, and VCO OUT is inhibited.7. Current into LOGIC VDD, when FIN–A, FIN–B = 1 MHz (VI(PP) = 3 V, rectangular wave), NC = GND, no load, and VCO OUT is

inhibited.

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

6 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

operating characteristics over recommended operating free-air temperature range, V DD = 3 V(unless otherwise noted)

VCO sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

fosc Operating oscillation frequency RBIAS = 3.3 kΩ, VCO IN = 1/2 VDD 15 19 23 MHz

ts(fosc) Time to stable oscillation (see Note 8) Measured from VCO INHIBIT↓ 10 µs

t Rise timeCL = 15 pF, See Figure 3 7 14

nstr Rise timeCL = 50 pF, See Figure 3 14

ns

tf Fall timeCL = 15 pF, See Figure 3 6 12

nstf Fall timeCL = 50 pF, See Figure 3 10

ns

Duty cycle at VCO OUT RBIAS = 3.3 kΩ, VCO IN = 1/2 VDD, 45% 50% 55%

α(fosc) Temperature coefficient of oscillation frequencyRBIAS = 3.3 kΩ, VCO IN = 1/2 VDD,TA = –20°C to 75°C 0.04 %/°C

kSVS(fosc) Supply voltage coefficient of oscillation frequencyRBIAS = 3.3 kΩ, VCO IN = 1.5 V,VDD = 2.85 V to 3.15 V

0.02 %/mV

Jitter absolute (see Note 9) RBIAS = 3.3 kΩ 100 ps

NOTES: 8. The time period to the stable VCO oscillation frequency after the VCO INHIBIT terminal is changed to a low level.9. The low-pass-filter (LPF) circuit is shown in Figure 28 with calculated values listed in Table 7. Jitter performance is highly dependent

on circuit layout and external device characteristics. The jitter specification was made with a carefully designed PCB with no devicesocket.

PFD sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

fmax Maximum operating frequency 20 MHz

tPLZ PFD output disable time from low level 21 50ns

tPHZ PFD output disable time from high levelSee Figures 4 and 5 and Table 4

23 50ns

tPZL PFD output enable time to low levelSee Figures 4 and 5 and Table 4

11 30ns

tPZH PFD output enable time to high level 10 30ns

tr Rise timeCL = 15 pF See Figure 4

2.3 10 ns

tf Fall timeCL = 15 pF, See Figure 4

2.1 10 ns

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

7POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

electrical characteristics over recommended operating free-air temperature range, V DD = 5 V(unless otherwise noted)

VCO sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

VOH High-level output voltage IOH = –2 mA 4 V

VOL Low-level output voltage IOL = 2 mA 0.5 V

VIT Input threshold voltage at SELECT, VCO INHIBIT 1.5 2.5 3.5 V

II Input current at SELECT, VCO INHIBIT VI = VDD or GND ±1 µA

Zi(VCO IN) Input impedance VCO IN = 1/2 VDD 10 MΩ

IDD(INH) VCO supply current (inhibit) See Note 4 0.01 1 µA

IDD(VCO) VCO supply current See Note 5 15 35 mA

NOTES: 4. Current into VCO VDD, when VCO INHIBIT = VDD, and PFD is inhibited.5. Current into VCO VDD, when VCO IN = 1/2 VDD, RBIAS = 3.3 kΩ, VCO INHIBIT = GND, and PFD is inhibited.

PFD sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

VOH High-level output voltage IOH = 2 mA 4.5 V

VOL Low-level output voltage IOL = 2 mA 0.2 V

IOZ High-impedance-state output currentPFD INHIBIT = high,VI = VDD or GND

±1 µA

VIH High-level input voltage at FIN–A, FIN–B 4.5 V

VIL Low-level input voltage at FIN–A, FIN–B 1 V

VIT Input threshold voltage at PFD INHIBIT 1.5 2.5 3.5 V

Ci Input capacitance at FIN–A, FIN–B 5 pF

Zi Input impedance at FIN–A, FIN–B 10 MΩ

IDD(Z) High-impedance-state PFD supply current See Note 6 0.01 1 µA

IDD(PFD) PFD supply current See Note 7 0.15 3 mA

NOTES: 6. Current into LOGIC VDD, when FIN–A, FIN–B = GND, PFD INHIBIT = VDD, no load, and VCO OUT is inhibited.7. Current into LOGIC VDD, when FIN–A, FIN–B = 1 MHz (VI(PP) = 5 V, rectangular wave), PFD INHIBIT = GND, no load, and

VCO OUT is inhibited.

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

8 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

operating characteristics over recommended operating free-air temperature range, V DD = 5 V(unless otherwise noted)

VCO sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

fosc Operating oscillation frequency RBIAS = 2.2 kΩ, VCO IN = 1/2 VDD 30 41 52 MHz

ts(fosc) Time to stable oscillation (see Note 8) Measured from VCO INHIBIT↓ 10 µs

t Rise timeCL = 15 pF, See Figure 3 5.5 10

nstr Rise timeCL = 50 pF, See Figure 3 8

ns

tf Fall timeCL = 15 pF, See Figure 3 5 10

nstf Fall timeCL = 50 pF, See Figure 3 6

ns

Duty cycle at VCO OUT RBIAS = 2.2 kΩ, VCO IN = 1/2 VDD, 45% 50% 55%

α(fosc) Temperature coefficient of oscillation frequencyRBIAS = 2.2 kΩ, VCO IN = 1/2 VDD,TA = –20°C to 75°C 0.06 %/°C

kSVS(fosc) Supply voltage coefficient of oscillation frequencyRBIAS = 2.2 kΩ, VCO IN = 2.5 V,VDD = 4.75 V to 5.25 V

0.006 %/mV

Jitter absolute (see Note 9) RBIAS = 2.2 kΩ 100 ps

NOTES: 8: The time period to the stable VCO oscillation frequency after the VCO INHIBIT terminal is changed to a low level.9. The LPF circuit is shown in Figure 28 with calculated values listed in Table 7. Jitter performance is highly dependent on circuit layout

and external device characteristics. The jitter specification was made with a carefully designed PCB with no device socket.

PFD sectionPARAMETER TEST CONDITIONS MIN TYP MAX UNIT

fmax Maximum operating frequency 40 MHz

tPLZ PFD output disable time from low level 21 40ns

tPHZ PFD output disable time from high levelSee Figures 4 and 5 and Table 4

20 40ns

tPZL PFD output enable time to low levelSee Figures 4 and 5 and Table 4

7.3 20ns

tPZH PFD output enable time to high level 6.5 20ns

tr Rise timeCL = 15 pF See Figure 4

2.3 10 ns

tf Fall timeCL = 15 pF, See Figure 4

1.7 10 ns

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

9POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

PARAMETER MEASUREMENT INFORMATION

tr tf

90%

10%

90%

10%VCO OUT

Figure 3. VCO Output Voltage Waveform

50%

90%10% 10%

50%

50%

tPHZtr tftPLZ

VDD

GND

VDD

GND

VDD

GND

VDD

GND

VDD

GND

VDD

GND

FIN–A†

FIN–B†

PFD INHIBIT

PFD OUT

(a) OUTPUT PULLDOWN(see Figure 5 and Table 4)

(b) OUTPUT PULLUP(see Figure 5 and Table 4)

† FIN–A and FIN–B are for reference phase only, not for timing.

90%

tPZLtPZH

GND

VOH50%50% 50%

VDD

VOL

Figure 4. PFD Output Voltage Waveform

Table 4. PFD Output Test Conditions

PARAMETER RL CL S1 S2tPZHtPHZ Open Close

tr1 kΩ 15 pF

tPZL1 kΩ 15 pF

tPLZ Close Open

tf

S1

S2

RL

CL

Test Point

PFD OUTDUT

VDD

Figure 5. PFD Output Test Conditions

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

10 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

TYPICAL CHARACTERISTICS

Figure 6

10

0

40

20

0 1 2 3

30

VCO OSCILLATION FREQUENCYvs

VCO CONTROL VOLTAGE

VCO IN – VCO Control Voltage – V

VDD = 3 VRBIAS = 2.2 kΩ –20°C

25°C

75°C

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

Figure 7

60

40

0 1 2 3

80

VCO OSCILLATION FREQUENCYvs

VCO CONTROL VOLTAGE100

4 5

20

VCO IN – VCO Control Voltage – V

–20°C

25°C

75°C

VDD = 5 VRBIAS = 1.5 kΩ

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

Figure 8

10

0

40

20

0 1 2 3

30

VCO OSCILLATION FREQUENCYvs

VCO CONTROL VOLTAGE

VCO IN – VCO Control Voltage – V

VDD = 3 VRBIAS = 3.3 kΩ

25°C

75°C

–20°C

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

Figure 9

40

00 1 2 3

80

4 5

20

60

VCO OSCILLATION FREQUENCYvs

VCO CONTROL VOLTAGE

VDD = 5 VRBIAS = 2.2 kΩ

25°C

75°C

VCO IN – VCO Control Voltage – V

–20°C

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

11POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

TYPICAL CHARACTERISTICS

Figure 10

10

0

40

20

0 1 2 3

30

VCO OSCILLATION FREQUENCYvs

VCO CONTROL VOLTAGE

VCO IN – VCO Control Voltage – V

–20°C

25°C

75°C

VDD = 3 VRBIAS = 4.3 kΩ

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

Figure 11

40

00 1 2 3

80

4 5

20

60

VCO OSCILLATION FREQUENCYvs

VCO CONTROL VOLTAGE

VCO IN – VCO Control Voltage – V

–20°C

25°C

75°C

VDD = 5 VRBIAS = 3.3 kΩ

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

Figure 12

20

15

10

30

25

2 2.5 3.5 4 4.5

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

z

VCO OSCILLATION FREQUENCYvs

BIAS RESISTOR

VDD = 3 VVCO IN = 1/2 VDDTA = 25°C

f osc

RBIAS – Bias Resistor – k Ω3

Figure 13

40

30

20

60

50

1.5 2 2.5 3.5

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

z

VCO OSCILLATION FREQUENCYvs

BIAS RESISTOR

VDD = 5 VVCO IN = 1/2 VDDTA = 25°C

f osc

RBIAS – Bias Resistor – k Ω3

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

12 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

TYPICAL CHARACTERISTICS

Figure 14

0.2

0.1

2 2.5 3.3

0.3

TEMPERATURE COEFFICIENT OFOSCILLATION FREQUENCY

vsBIAS RESISTOR

0.4

4 4.5

C°–

Tem

pera

ture

Coe

ffici

ent o

f Osc

illat

ion

RBIAS – Bias Resistor – k Ω

Fre

quen

cy –

% /

VDD = 3 VVCO IN = 1/2 VDDTA = –20°C to 75°C

3 3.5

(fos

c)α 0

Figure 15

0.2

0.1

1.5 2.2

0.3

TEMPERATURE COEFFICIENT OFOSCILLATION FREQUENCY

vsBIAS RESISTOR

0.4

3.5RBIAS – Bias Resistor – k Ω

VDD = 5 VVCO IN = 1/2 VDDTA = –20°C to 75°C

2 2.5 3

C°–

Tem

pera

ture

Coe

ffici

ent o

f Osc

illat

ion

Fre

quen

cy –

% /

(fos

c)α

0

Figure 16

20

18

163.05 3

22

VCO OSCILLATION FREQUENCYvs

VCO SUPPLY VOLTAGE

24

3.15VDD – VCO Supply Voltage – V

RBIAS = 3.3 kΩVCO IN = 1.5 VTA = 25°C

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

Figure 17

40

36

324.75 5

44

VCO OSCILLATION FREQUENCYvs

VCO SUPPLY VOLTAGE

48

5.25VDD – VCO Supply Voltage – V

RBIAS = 2.2 kΩVCO IN = 1/2 VDDTA = 25°C

– V

CO

Osc

illat

ion

Fre

quen

cy –

MH

zf o

sc

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

13POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

TYPICAL CHARACTERISTICS

Figure 18

0.03

0.02

0.01

2 2.5 3.5 4

0.04

SUPPLY VOLTAGE COEFFICIENT OF VCOOSCILLATION FREQUENCY

vsBIAS RESISTOR

0.05

4.5RBIAS – Bias Resistor – k Ω

VDD = 2.85 V to 3.15 VVCO IN = 1/2 VDDTA = 25°C

3

V

– S

uppl

y V

olta

ge C

oeffi

cien

t of V

CO

Osc

illat

ion

Fre

quen

cy –

% /

(fos

c)α

0

Figure 19

0.005

1.5 2.5 3

0.01

3.5RBIAS – Bias Resistor – k Ω

SUPPLY VOLTAGE COEFFICIENT OF VCOOSCILLATION FREQUENCY

vsBIAS RESISTOR

VDD = 4.75 V to 5.25 VVCO IN = 1/2 VDDTA = 25°C

2

V

– S

uppl

y V

olta

ge C

oeffi

cien

t of V

CO

Osc

illat

ion

Fre

quen

cy –

% /

(fos

c)α

0

Figure 20

20

15

10

30

25

2 2.5 3.5 4 4.5

Rec

omm

ende

d Lo

ck F

requ

ency

– M

Hz

RECOMMENDED LOCK FREQUENCY(×1 OUTPUT)

vsBIAS RESISTOR

RBIAS – Bias Resistor – k Ω

VDD = 2.85 V to 3.15 VTA = –20°C to 75°C

3

Figure 21

40

30

20

101.5 2 2.5

50

60

3.5RBIAS – Bias Resistor – k Ω

Rec

omm

ende

d Lo

ck F

requ

ency

– M

Hz

RECOMMENDED LOCK FREQUENCY(×1 OUTPUT)

vsBIAS RESISTOR

VDD = 4.75 V to 5.25 VTA = –20°C to 75°C

3

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

14 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

Figure 22

Rec

omm

ende

d Lo

ck F

requ

ency

– M

Hz

RECOMMENDED LOCK FREQUENCY(×1/2 OUTPUT)

vsBIAS RESISTOR

RBIAS – Bias Resistor – k Ω

10

7.5

5

15

12.5

2 2.5 3.5 4 4.53

VDD = 2.85 V to 3.15 VTA = –20°C to 75°CSELECT = VDD

Figure 23

RBIAS – Bias Resistor – k Ω

Rec

omm

ende

d Lo

ck F

requ

ency

– M

Hz

RECOMMENDED LOCK FREQUENCY(×1/2 OUTPUT)

vsBIAS RESISTOR

20

15

10

51.5 2 2.5

25

30

3.53

VDD = 4.75 V to 5.25 VTA = –20°C to 75°CSELECT = VDD

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

15POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

gain of VCO and PFD

Figure 24 is a block diagram of the PLL. Thecountdown N value depends on the inputfrequency and the desired VCO output frequencyaccording to the system application requirements.The Kp and KV values are obtained from theoperating characteristics of the device as shownin Figure 24. Kp is defined from the phase detectorVOL and VOH specifications and the equationshown in Figure 24(b). KV is defined fromFigures 8, 9, 10, and 11 as shown in Figure 24(c).

The parameters for the block diagram with theunits are as follows:

KV : VCO gain (rad/s/V)Kp : PFD gain (V/rad)Kf : LPF gain (V/V)KN : count down divider gain (1/N)

external counter

When a large N counter is required by theapplication, there is a possibility that the PLLresponse becomes slow due to the counterresponse delay time. In the case of a highfrequency application, the counter delay timeshould be accounted for in the overall PLL design.

RBIAS

The external bias resistor sets the VCO center frequency with 1/2 VDD applied to the VCO IN terminal. However,for optimum temperature performance, a resistor value of 3.3 kΩ with a 3-V supply and a resistor value of 2.5kΩ for a 5-V supply is recommended. For the most accurate results, a metal-film resistor is the better choicebut a carbon-compositiion resistor can be used with excellent results also. A 0.22 µF capacitor should beconnected from the BIAS terminal to ground as close to the device terminals as possible.

hold-in range

From the technical literature, the maximum hold-in range for an input frequency step for the three types of filterconfigurations shown in Figure 25 is as follows:

H 0.8 Kp KV Kf ()

WhereKf (∞) = the filter transfer function value at ω = ∞

Divider(KN = 1/N)

PFD(Kp)

VCO(KV)

LPF(Kf)

TLC2932

f REF

VOH

fMAX

fMIN

VIN MIN VIN MAX

–2π 2π–π 0 π

Range of Comparison

VOH

VOL

Kp =VOH – VOL

4π KV =2π(fMAX – fMIN)

VIN MAX – VIN MIN

Figure 24. Example of a PLL Block Diagram

(a)

(c)(b)

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

16 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

low-pass-filter (LPF) configurations

Many excellent references are available that include detailed design information about LPFs and should beconsulted for additional information. Lag-lead filters or active filters are often used. Examples of LPFs are shownin Figure 25. When the active filter of Figure 25(c) is used, the reference should be applied to FIN-B becauseof the amplifier inversion. Also, in practical filter implementations, C2 is used as additional filtering at the VCOinput. The value of C2 should be equal to or less than one tenth the value of C1.

R1

C1T1 = C1R1

(a) LAG FILTER

R1

C1

T1 = C1R1T2 = C1R2

R2

(b) LAG-LEAD FILTER

R2 C1

R1T1 = C1R1T2 = C1R2

(c) ACTIVE FILTER

A–

VI VOVI VO

VI

C2

VO

C2

Figure 25. LPF Examples for PLL

the passive filter

The transfer function for the lag-lead filter shown in Figure 25(b) is;

VOVIN

1 s T2

1 s (T1 T2)

WhereT1 R1C1 and T2 R2C1

Using this filter makes the closed loop PLL system a second-order type 1 system. The response curves of thissystem to a unit step are shown in Figure 26.

the active filter

When using the active integrator shown in Figure 25(c), the phase detector inputs must be reversed since theintegrator adds an additional inversion. Therefore, the input reference frequency should be applied to the FIN-Bterminal and the output of the VCO divider should be applied to the input reference terminal, FIN-A.

The transfer function for the active filter shown in Figure 25(c) is:

F(s) 1 s R2C1sR1C1

Using this filter makes the closed loop PLL system a second-order type 2 system. The response curves of thissystem to a unit step are shown in Figure 27.

basic design example

The following design example presupposes that the input reference frequency and the required frequency ofthe VCO are within the respective ranges of the device.

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

17POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

basic design example (continued)

Assume the loop has to have a 100 µs settling time (ts) with a countdown N = 8. Using the Type 1, second orderresponse curves of Figure 26, a value of 4.5 radians is selected for ωnts with a damping factor of 0.7. Thisselection gives a good combination for settling time, accuracy, and loop gain margin. The initial parameters aresummarized in Table 5. The loop constants, KV and Kp, are calculated from the data sheet specifications andTable 6 shows these values.

The natural loop frequency is calculated as follows:

nts 4.5

Then

n 4.5

100 s 45 k-radianssec

Since

Table 5. Design Parameters

PARAMETER SYMBOL VALUE UNITS

Division factor N 8

Lockup time t 100 µs

Radian value to selected lockup time ωnt 4.5 rad

Damping factor ζ 0.7

Table 6. Device Specifications

PARAMETER SYMBOL VALUE UNITS

VCO gain 76.6 Mrad/V/s

fMAX 70 MHz

fMIN KV 20 MHz

VIN MAX 5 V

VIN MIN 0.9 V

PFD gain Kp 0.342357 V/rad

Table 7. Calculated Values

PARAMETER SYMBOL VALUE UNITS

Natural angular frequency ωn 45000 rad/sec

K = (KV • Kp)/N 3.277 Mrad/sec

Lag-lead filterCalculated valueNearest standard value

R11587016000

Ω

Calculated valueNearest standard value

R2308300

Ω

Selected value C1 0.1 µF

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

18 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

Using the low-pass filter in Figure 25(b) and divider ratio N, the transfer function for phase and frequency areshown in equations 1 and 2. Note that the transfer function for phase differs from the transfer function forfrequency by only the divider value N. The difference arises from the fact that the feedback for phase is unitywhile the feedback for frequency is 1/N.

Hence, transfer function of Figure 24 (a) for phase is

2(s)1(s)

Kp KV

N (T1 T2)

1 s T2

s2 s 1 KpKV T2

N(T1T2) KpKV

N(T1T2)

(1)

and the transfer function for frequency is

FOUT(s)FREF(s)

Kp KV

(T1 T2)

1 s T2

s2 s1 KpKVT2

N(T1T2) KpKV

N(T1T2)

(2)

The standard two-pole denominator is D = s2 + 2 ζ ωn s + ωn2 and comparing the coefficients of the denominatorof equation 1 and 2 with the standard two-pole denominator gives the following results.

n Kp KV

N (T1 T2)

Solving for T1 + T2

T1 T2 Kp KVN 2

n

(3)

and by using this value for T1 + T2 in equation 3 the damping factor is

n2 T2 N

Kp KV

solving for T2

T2 2 – N

Kp KV

then by substituting for T2 in equation 3

T1 KV Kp

N 2n

–2 n

NKp KV

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

19POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

From the circuit constants and the initial design parameters then

R2 2 n

NKp KV

1C1

R1 Kp Kv

2n N

2 n

NKp KV

1

C1

The capacitor, C1, is usually chosen between 1 µF and 0.1 µF to allow for reasonable resistor values andphysical capacitor size. In this example, C1 is chosen to be 0.1 µF and the corresponding R1 and R2 calculatedvalues are listed in Table 7.

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

20 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

1.9

1.8

1.7

1.6

1.5

1.4

1.3

1.2

1.1

1

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

00 1 2 3 4 5 6 7 8 9 10 11 12 13

ωnt

(t),

Nor

mal

ized

Res

pons

eφ 2

= 0.1

= 0.2

= 0.3

= 0.4

= 0.5 = 0.6

= 0.7

= 0.8

= 1.0

= 1.5

= 2.0

ωnts = 4.5

Figure 26. Type 1 Second-Order Step Response

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

21POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

1.9

1.8

1.7

1.6

1.5

1.4

1.3

1.2

1.1

1

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

00 1 2 3 4 5 6 7 8 9 10 11 12 13

ωnt

(t),

Nor

mal

ized

Out

put F

requ

ency

φ 0

ζ = 0.8

ζ = 0.1

ζ = 0.2

ζ = 0.3

ζ = 0.4

ζ = 0.5

ζ = 0.6

ζ = 0.7

ζ = 1.0

ζ = 2.0

Figure 27. Type 2 Second-Order Step Response

TLC2932HIGH-PERFORMANCE PHASE-LOCKED LOOP

SLAS097E – SEPTEMBER 1994 – REVISED MAY 1997

22 POST OFFICE BOX 655303 • DALLAS, TEXAS 75265

APPLICATION INFORMATION

1/2 fosc

PhaseComparator

AGND

DGND

DGND

DGND

REF IN

DVDD

AVDDVDD

LOGIC VDD (Digital)

LOGIC GND (Digital)

SELECT

FIN–A

VCO INHIBIT

PFD INHIBIT

NC

VCO GND

VCO IN

BIAS

VCO VDD

VCO

R1†

R3

C1R2C2

R4 R5 R6

S3

S4

S5

DivideByN

0.22 µF

1

2

3

4

5

6

7

14

13

12

11

10

9

8

FIN–B

† RBIAS resistor

VCO OUT

PFD OUT

Figure 28. Evaluation and Operation Schematic

PCB layout considerations

The TLC2932 contains a high frequency analog oscillator; therefore, very careful breadboarding andprinted-circuit-board (PCB) layout is required for evaluation.

The following design recommendations benefit the TLC2932 user:

External analog and digital circuitry should be physically separated and shielded as much as possible toreduce system noise.

RF breadboarding or RF PCB techniques should be used throughout the evaluation and productionprocess.

Wide ground leads or a ground plane should be used on the PCB layouts to minimize parasitic inductanceand resistance. The ground plane is the better choice for noise reduction.

LOGIC VDD and VCO VDD should be separate PCB traces and connected to the best filtered supply pointavailable in the system to minimize supply cross-coupling.

VCO VDD to GND and LOGIC VDD to GND should be decoupled with a 0.1-µF capacitor placed as closeas possible to the appropriate device terminals.

The no-connection (NC) terminal on the package should be connected to GND.

PACKAGE OPTION ADDENDUM

www.ti.com 15-Apr-2017

Addendum-Page 1

PACKAGING INFORMATION

Orderable Device Status(1)

Package Type PackageDrawing

Pins PackageQty

Eco Plan(2)

Lead/Ball Finish(6)

MSL Peak Temp(3)

Op Temp (°C) Device Marking(4/5)

Samples

TLC2932IPW NRND TSSOP PW 14 90 Green (RoHS& no Sb/Br)

CU NIPDAU Level-1-260C-UNLIM Y2932

TLC2932IPWG4 NRND TSSOP PW 14 90 Green (RoHS& no Sb/Br)

CU NIPDAU Level-1-260C-UNLIM -40 to 85 Y2932

TLC2932IPWR NRND TSSOP PW 14 2000 Green (RoHS& no Sb/Br)

CU NIPDAU Level-1-260C-UNLIM Y2932

TLC2932IPWRG4 NRND TSSOP PW 14 2000 Green (RoHS& no Sb/Br)

CU NIPDAU Level-1-260C-UNLIM -40 to 85 Y2932

(1) The marketing status values are defined as follows:ACTIVE: Product device recommended for new designs.LIFEBUY: TI has announced that the device will be discontinued, and a lifetime-buy period is in effect.NRND: Not recommended for new designs. Device is in production to support existing customers, but TI does not recommend using this part in a new design.PREVIEW: Device has been announced but is not in production. Samples may or may not be available.OBSOLETE: TI has discontinued the production of the device.

(2) Eco Plan - The planned eco-friendly classification: Pb-Free (RoHS), Pb-Free (RoHS Exempt), or Green (RoHS & no Sb/Br) - please check http://www.ti.com/productcontent for the latest availabilityinformation and additional product content details.TBD: The Pb-Free/Green conversion plan has not been defined.Pb-Free (RoHS): TI's terms "Lead-Free" or "Pb-Free" mean semiconductor products that are compatible with the current RoHS requirements for all 6 substances, including the requirement thatlead not exceed 0.1% by weight in homogeneous materials. Where designed to be soldered at high temperatures, TI Pb-Free products are suitable for use in specified lead-free processes.Pb-Free (RoHS Exempt): This component has a RoHS exemption for either 1) lead-based flip-chip solder bumps used between the die and package, or 2) lead-based die adhesive used betweenthe die and leadframe. The component is otherwise considered Pb-Free (RoHS compatible) as defined above.Green (RoHS & no Sb/Br): TI defines "Green" to mean Pb-Free (RoHS compatible), and free of Bromine (Br) and Antimony (Sb) based flame retardants (Br or Sb do not exceed 0.1% by weightin homogeneous material)

(3) MSL, Peak Temp. - The Moisture Sensitivity Level rating according to the JEDEC industry standard classifications, and peak solder temperature.

(4) There may be additional marking, which relates to the logo, the lot trace code information, or the environmental category on the device.

(5) Multiple Device Markings will be inside parentheses. Only one Device Marking contained in parentheses and separated by a "~" will appear on a device. If a line is indented then it is a continuationof the previous line and the two combined represent the entire Device Marking for that device.

(6) Lead/Ball Finish - Orderable Devices may have multiple material finish options. Finish options are separated by a vertical ruled line. Lead/Ball Finish values may wrap to two lines if the finishvalue exceeds the maximum column width.

PACKAGE OPTION ADDENDUM

www.ti.com 15-Apr-2017

Addendum-Page 2

Important Information and Disclaimer:The information provided on this page represents TI's knowledge and belief as of the date that it is provided. TI bases its knowledge and belief on informationprovided by third parties, and makes no representation or warranty as to the accuracy of such information. Efforts are underway to better integrate information from third parties. TI has taken andcontinues to take reasonable steps to provide representative and accurate information but may not have conducted destructive testing or chemical analysis on incoming materials and chemicals.TI and TI suppliers consider certain information to be proprietary, and thus CAS numbers and other limited information may not be available for release.

In no event shall TI's liability arising out of such information exceed the total purchase price of the TI part(s) at issue in this document sold by TI to Customer on an annual basis.

TAPE AND REEL INFORMATION

*All dimensions are nominal

Device PackageType

PackageDrawing

Pins SPQ ReelDiameter

(mm)

ReelWidth

W1 (mm)

A0(mm)

B0(mm)

K0(mm)

P1(mm)

W(mm)

Pin1Quadrant

TLC2932IPWR TSSOP PW 14 2000 330.0 12.4 6.9 5.6 1.6 8.0 12.0 Q1

PACKAGE MATERIALS INFORMATION

www.ti.com 14-Jul-2012

Pack Materials-Page 1

*All dimensions are nominal

Device Package Type Package Drawing Pins SPQ Length (mm) Width (mm) Height (mm)

TLC2932IPWR TSSOP PW 14 2000 367.0 367.0 35.0

PACKAGE MATERIALS INFORMATION

www.ti.com 14-Jul-2012

Pack Materials-Page 2

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