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Allen and Holberg - CMOS Analog Circuit Design

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Allen and Holberg - CMOS Analog Circuit Design

Page VII.6-7

Noninverting Auto-Zeroed Comparator

φ1

φ2

 

-

φ

vOUT

1

 

vIN

+

 

CAZ

φ2

φ

 

1

Inverting Auto-Zeroed Comparator

φ1

φ2

CAZ

vIN -

vOUT

φ1+

Use nonoverlapping, two-phase clock.

Allen and Holberg - CMOS Analog Circuit Design

Page VII.6-1

VII.6 - HIGH SPEED COMPARATORS

Concept

Question: For a given input change, what combination of first-order openloop comparators and a latch gives minimum propagation delay?

+

Q

vIN

C1

C2

C3

Cn

Latch

-

 

 

 

 

Q

 

 

 

 

 

n first-order, open-loop comparators with identical gains, A

Concept: voltage

High

 

 

 

 

 

Output

= input voltage

 

 

 

Level

 

 

 

 

change

Latch

 

tn-1

 

 

 

vout = et/τ

vout = An[1 - (1 +

)e-t/τ ]

 

 

 

 

(n-1)!

 

A5 A4 A3 A2 A

vout = A2[1 - (1 + t)e-t/τ )] vout = A(1-e-t/τ )

t3

tL

5

4

3

2

n=1

Time

Propagation delay time = t3 + tL for n=3

Answer:

tp(min) occurs when n=6 and A=2.72=e

Implementation:

n=3 and A6 gave nearly the same result with less area.

[Ref: Doernberg et al., “A 10-bit 5 MSPS CMOS Two-Step FLASH ADC”JSSC April 1989 pp 241-

249]

Allen and Holberg - CMOS Analog Circuit Design

Page VII.6-2

HIGH SPEED COMPARATORS-CONT'D

Conceptual Implementation-

+

+

-

+

-

+

-

Q

vIN

-

+

-

+

-

+

Latch

-

Q

VDD

FB

Reset

FB

VB1

Offset and level shifting-

vIN-VOS

_

+ -

vIN

 

+

+

VOS

-

Q

Q

LATCH

VB2

VSS

Allen and Holberg - CMOS Analog Circuit Design

Page VII.7-1

VII.7 - COMPARATOR SUMMARY

• Key performance parameters: Propagation time delay Resolving capability

Input common mode swing Input offset voltage

Types of comparators: Open loop Regenerative

Open loop and regenerative Charge balancing

Open loop comparator needs differential input and second stage

Systemative offset error is offset (using perfectly matched transistors) that is due to current mirror errors.

For fast comparators, keep all node swings at a minimum except for the output (current comparators?).

Key design equations:

iD =

KW

(vGS-VT) 2, vDS(sat) =

2iD

, and gm =

2KWID

2L

K(W/L)

L

Positive feedback is used for regenerative comparators.

Use autozeroing to remove offset voltages (charge injection is limit).

Fastest comparators using low-gain, fast open loop amplifiers cascaded with a latch.

Allen and Holberg - CMOS Analog Circuit Design

Page VII.0-1

VIII. SIMPLE CMOS OPERATIONAL AMPLIFIERS (OP AMPS) AND OPERATIONAL TRANSCONDUCTANCE AMPLIFIERS (OTA'S)

Contents

VIII.1

Design Principles

VIII.2

OTA Compensation

VIII.3

Two-Stage CMOS OTA Design

Organization

 

 

 

Chapter 10

Chapter 11

D/A and A/D

Analog Systems

Converters

 

 

SYSTEMS

 

 

 

Chapter 7

 

Chapter 8

Chapter 9

CMOS

Simple CMOS Op

High Performance

Comparators

 

Amps

OTA's

COMPLEX

 

 

 

CIRCUITS

 

 

 

Chapter 5

 

Chapter 6

CMOS

 

CMOS Amplifiers

Subcircuits

 

 

SIMPLE

 

 

 

Chapter 2

 

Chapter 3

Chapter 4 Device

CMOS

CMOS Device

Characterization

Technology

 

Modeling

 

 

DEVICES

 

 

 

Allen and Holberg - CMOS Analog Circuit Design

Op Amp Characteristics

Non-ideal model for an op amp

V

1

R

 

I

 

 

 

icm

 

 

 

CMRR

 

b2

 

 

 

 

 

 

 

 

2

 

 

 

 

 

e

 

 

V

 

 

n

 

 

2

 

 

 

 

-

 

V

2

R

C

 

 

I

Ideal

V

os

n

id

id

 

 

 

 

+

1

 

 

 

 

 

 

R

 

I

 

 

 

icm

 

b1

 

 

Boundary Conditions

Requirement

Process Specification

See Tables 3.1-1 and

 

3.1-2

Supply Voltage

+5 V ±10%

Supply Current

100 A

Temperature Range

0 to 70°C

Typical Specifications

 

Gain

≥ 80 dB

Gainbandwidth

≥ 10 MHz

Settling Time

≤ 0.1 sec

Slew Rate

≥ 2 V/ sec

Input CMR

≥ ±2 V

CMRR

≥ 60 dB

PSRR

≥ 60 dB

Output Swing

≥ 2 VP-P

Output Resistance

Capacitive load only

Offset

≤ ±5 mV

Noise

≤ 50nV/ Hz at 1KHz

Layout Area

≤ 10,000 square m

R

out

Allen and Holberg - CMOS Analog Circuit Design

Frequency Response

Av(s) =

 

Av0

 

s 1 ) (

s 1 ) (

s 1 ) . . .

(

 

p1

p2

p3

Gain, dB

2

ω3

0 dB

ω1

Frequency

180

Phase (degrees)

90

Phase margin

0

Frequency

-90

Allen and Holberg - CMOS Analog Circuit Design

Power supply rejection ratio (PSRR):

 

 

 

 

vout

(vps=0)

 

VDD

Avd(s)

=

vin

PSRR =

· Avd(s) =

Aps(s)

vout

 

 

vOUT

 

(vin=0)

 

 

 

 

vps

 

 

 

 

 

Common-mode input range (ICMR).

Maximum common mode signal range over which the differential

voltage gain of the op amp remains constant.

Maximum and minimum output voltage swing.

Slew rate:

vOUT

Slew rate = max t

10V

5V

Output Voltage

0V

-5V Input

Voltage

-10V

2 s

4 s

6 s

8 s

10 s

0 s

Time

Allen and Holberg - CMOS Analog Circuit Design

Settling Time

 

1.4

 

 

 

 

 

 

 

 

1.2

 

 

 

 

Upper tolerance

 

 

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

Vout(t)

0.8

 

 

 

 

Lower tolerance

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0.6

 

Settling

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0.4

 

time

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0.2

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

0

2

4

6

8

10

12

14

 

 

 

 

Time (sec)

 

 

 

 

Allen and Holberg - CMOS Analog Circuit Design

Design Approach

 

Design

 

Specifications

Iterate

Analysis

Simulation

 

 

 

Modify

 

Specifications:

 

 

Gain

Bandwidth

Output voltage swing

PSRR

Settling time

CMRR

Power dissipation

Noise

Supply voltage

Common-mode input range

Silicon area

 

 

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