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Part I: Amplifier Fundamentals

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Page 1: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

Part I: Amplifier FundamentalsPart I: Amplifier Fundamentals

Page 2: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Agenda

Ideal Amplifiers

Configurations and Operation of Amplifiers

Common Amplifier Source Errors

Understanding Amplifier Specification

Page 3: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

3www.analog.comwww.analog.com

Why So MANY AMPS???

Lots of Specifications Some are Important for Different Applications

Each Amplifier is Designed to Improve or Optimize One or a Combination of Specifications No Ideal Op Amp; YET?

Specialty Amps for a Variety of Applications and Functions

Current Amplifier Trends

Power Consumption - Driven by portable applications Rail-to-Rail – Higher Dynamic range on lower supply voltage Smaller Packaging – Circuit density in portable applications Price – Higher Performance at lower Price

Page 4: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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What is an “Ideal” Op Amp?

Amplifies a small signal (X) to a larger signal (Y) by Gain of G

Ideal Op Amp Characteristics Voltage at + Input = Voltage at - Input Infinite Input Impendence Zero Output Impendence Infinite Open Loop Gain

– In closed loop Negative Input=Positive Input Infinite Bandwidth

+

-GX Y

VIN

VOUT

Page 5: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Standard Configurations+ -

R1

R1

+ -

Non-Inverting

1

21R

R

V

V

IN

OUT

1

2

R

R

V

V

IN

OUT

Inverting

R2

R2

VIN

VOUT

VIN

VOUT

Page 6: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Operation of an “Ideal” Inverting Amplifier

+ -

R2

R1

Vin Vout

I2

I1

11R

VI

in

)(

0

1

2

21

R

RVV

RR

VV

inout

inout

Virtual Ground Because +VIN = -VIN

21 II

Page 7: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Operation of an “Ideal” Non-Inverting Amplifier

+ -

VinVout

I1

R1

R2

V1

1VVin

1

11R

VI

)1(1

21

21

11

R

RVV

RR

VVV

out

out

Page 8: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Gain-bandwidth product

GBW product = Gain x BandWidth

100000

100

1000

10000

10

1

GBP=1,000,000

X GBP=1,000,000

X

AOL

ACL

Page 9: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Nothing is ideal, friends..

Real Characteristics Finite open loop gain Offset voltage Input bias & offset currents Finite bandwidth And, these amplifiers are not free…

IDEAL

REAL

- +

Page 10: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Input Error Sources

VOS – The difference in voltage between the inputs [~mV]

Ideal

Offset Voltage (Vos)

Input Impedance (ZIN)

Input Bias Current (Ib)Input Offset Current (Ios)

A+

-- +

Output Impedance

(ZOUT)

IB – The Current into the Inputs [~pA to A]

IOS – The difference between the + IB and – IB [~IB /10]

ZIN – Input Impedance [M to G]

ZOUT – Output Impedance [<1]

Page 11: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Bias Current Drift and Offset Voltage Drift

Offset Voltage is affected by the temperature

Drift is Usually in Units of V/ ºC Often a minimum and maximum VOS is Specified over the

Temperature Range of the amp

Bias Current is also affected by temperature

Drift is Usually in Units of nA/ ºC Often a minimum and maximum I BIAS is Specified over the

Temperature Range of the amp FET amplifiers have the lowest input Bias current

Page 12: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Very Low Bias Current Fast FETs ™ Amplifier Family Applications

Photodiode Isc is linear over 6-9 decades and is usually in the range of pA-A

Sensitivity is determined by amount of Isc multiplied by R2

Minimizing Ib will ensure the highest possible sensitivity of the system

Additionally, maximizing the bandwidth minimizes the effects of Ib

Precision Photo Diode Pre-Amp

– Low DC Errors

– Low Ibias, Vos and Drift

– Low Noise

– High-Speed+

2

Vs

Vs

AD8065

Isc

Ib

R2

Page 13: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Noise Gain

+ -

R2

R1

Vout

I

I

VER2

1RVVV

R

EREROUT

Noise Gain - gain of error signals (VER) between the inputs

Non-Inverting noise gain = Voltage Gain [R2/R1]

Inverting Noise gain = absolute value of the Voltage Gain +1

1R

VI

ER

121 RR

V

V

ER

OUT

Page 14: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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All Input Error Sources End up at the Output

Input Referred Errors are multiplied by the Noise Gain

Initial VOS and VOS Drift Shift VOUT from the expected DC level

– VOS drift multiplied by the change in temperature in ºC– Example: 2mV initial offset + 10V/C with 100C shift and a

gain of 5 creates 15mV offset at the output.

IB and IB drift with resistance (R1II R2) at the summing node effectively create an additional VOS

Example: 10A and R1 = R2 = 2k creates 10mV offset

+ -

R2

R1

IB=10A

IB

Vout

Bosout IRVV *2

Page 15: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

15www.analog.comwww.analog.com

Input Voltage and Current Noise

2 Sources of Voltage and Current Noise Low frequency Noise

– Magnitude Increases as frequency decreases (1/f) Wideband noise is flat over frequency

– Usually Specified in Noise Density [nV/Hz and pA/Hz] – Multiply by the square root of the frequency range to determine the RMS noise

The intersection is referred to as the corner frequency

CORNER FREQUENCY

FREQUENCY

Voltage or Current Noise

Density

Page 16: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Common Mode Rejection Ratio (CMRR) & Power Supply Rejection Ratio (PSRR)

CMRR is a ratio (output to input) of amplifier’s ability to reject an equal signal on both of the inputs

Similarly, PSRR is a ratio (output to power supply variation) of amplifier’s ability to reject power supply noise

+

-

4V

-4V

4V

-4V

dBV

VLOGCMRR

V

VLOGCMRR

in

out

828

60020

20

4mV

-4mV

Page 17: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Rail to Rail Amplifiers

Rail-to-rail amplifiers maximize signal swing, either on the input, the output or both.

True Rail-Rail op amps can swing to within a few mV of their power supply rails. Non rail-to-rail op amps usually require between 1-3 volts of headroom to the supply rail

Analog Devices Rail to Rail Amplifiers Rail to Rail Output

– Fast FETsTM

– AD8091/2 Very Low Cost, High-Performance Rail To Rail Input

– AD8031/2 Low Power High-Speed

Page 18: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Rail to Rail vs. Non Rail to Rail Amplifiers

R-RR-R

In

In

Out

Out

+VS

+VS

-VS

-VS

VIN

VOUT

Page 19: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

19www.analog.comwww.analog.com

Output Swing

Operating Region Decreases with Increased Frequency

Output Power [dBm] = 10log[V2rms/(RL)] x1mW

Vout

Saturation

Iout

Short Circuit

Vout

Iout

Operating Region

IncreasingFrequency

Page 20: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Low-Power, Application Considerations

Minimize supply voltage circuitry or battery requirements

Reduce cooling requirements

Lower Heat Dissipation Saves Cost and Space

– Smaller heat sinks – Essential in higher density PCB – Increases system stability and reliability

Example:

System with 5 AD8058

– (+/-5V)*(6.5mA/amp max)* (10 amps) = 650mW Using AD8039

– (+/-5V)*(1.7mA/amp max)* (10 amps) = 170mW

½ W Power savings

Page 21: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

21www.analog.comwww.analog.com

Relation Between Open Loop Gain and Phase

Oscillation will occur when Phase Delay 360° and a Gain >0dB

Phase Margin is the phase remaining before oscillation where the

gain curve crosses 0dB

Margin of Less than 30 degrees is too little for safe operation

Open Loop Gain vs Freq..

-20

-10

0

10

20

30

40

50

0.01 0.1 1 10 1001000

Frequency (MHz)

AO

L (

dB

)

Deg

rees

315

180

405

360

270

225

450

Phase margin

Gain

Phase

Page 22: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

22www.analog.comwww.analog.com

Why Phase Margin is Important

-0.5

-0.4

-0.3

-0.2

-0.1

0

0.1

0.2

-0.1 0 0.1 0.2 0.3 0.4 0.5

Time [uSec]

Vol

ts

-12

-10

-8

-6

-4

-2

0

2

4

1 10 100 1000

Frequency MHz

dB

Excessive Peaking in the closed Loop Frequency Response will

reduce the phase margin.

In the Time Domain, Low Phase margin causes Ringing

Reducing phase margin further will create sustained ringing or

oscillation

Page 23: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Slew Rate and Large Signal Bandwidth

Slew Rate Determines the Limit for Large Signal Bandwidth

+

-X Y

maxdt

dVSlewRate

Maximum Change in Voltage

Change in Time

Amplitude

SRBandwidth

2 High Slew Rate AD8014

Slew Limited

Page 24: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

24www.analog.comwww.analog.com

Distortion

Changes in the output wave form relative to the input wave form For pure sign wave in, the output will have some energy at

multiples of the input frequency - harmonics10.0

-120.0

-115.0

-110.0

-105.0

-100.0

-95.0

-90.0

-85.0

-80.0

-75.0

-70.0

-65.0

-60.0

-55.0

-50.0

-45.0

-40.0

-35.0

-30.0

-25.0

-20.0

-15.0

-10.0

-5.0

0.0

5.0

32.5000E+60.0000E+0 5.0000E+6 10.0000E+6 15.0000E+6 20.0000E+6 25.0000E+6

9th8th7th6th5th4th3rd2ndFUND

0

10

-10

-20

-30

-40

-50

-60

-70

-80

-90

-100

-110

-120

[dB

]

5 10 15 20 25 30

Frequency [MHz]

Fundamental

3rd

2nd

Page 25: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Ideal for Buffering ADC Driver

Other Applications IF/Baseband Amplifiers Precision Instruments Baseband and Video Communications Pin Diode Receivers Precision Buffer

Ultra Low-Distortion and Noise Applications

+

Rf

Rg

AD8007Passive Filter

Page 26: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Various Distortion Specifications

THD – used for Audio and other systems

Total Harmonic Distortion - sum of all distortions at all harmonics

Usually 2nd and 3rd harmonics contribute the most

SFDR - used for communications and other systems

Spurious-Free Dynamic Range in dB

Range between the input signal and largest harmonic

Page 27: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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NEW High Value, Low Price Products

Fast FETsTM

AD8034 and AD8065– The Highest Bandwidth per Dollar among all FET input Amps $1.19 @ 1k (AD8034)

Precision FET (PRA)

Low-Cost High-Performance AD8091/2

– $0.69 @ 1k (AD8091) Auto Zero (PRA)

Fast Speed-Low Power AD8038 and AD8039

– Highest Speed per mA at only $0.85 @ 1k (AD8038) CMOS (PRA)

Low Distortion, Low Power AD8007/8

– Best Distortion at specified Is at only $1.19 @ 1k (AD8007)

Page 28: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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Packaging Considerations

All of the Amplifiers are available in small packaging

Maximizes the density of the board Refer to the datasheet for particular amplifier package

SOIC

SC70

SOICSewing Needle

SOT23

Page 29: Part I: Amplifier Fundamentals.  Agenda Ideal Amplifiers Configurations and Operation of Amplifiers Common Amplifier Source Errors Understanding

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To Be Continued…

Part II: Various Amplifier Configurations