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Chapter 5     Differential and Multistage Amplifier
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object]
The MOS Differential Pair ,[object Object],[object Object]
The MOS Differential Pair
Operation with a Common –Mode Input Voltage
Operation with a Common –Mode Input Voltage ,[object Object],[object Object],[object Object],[object Object],[object Object]
Operation with a Differential  Input Voltage ,[object Object],[object Object],[object Object]
Operation with a Differential  Input Voltage ,[object Object],[object Object],[object Object],[object Object]
Large-Signal Operation ,[object Object],[object Object],[object Object]
Large-Signal Operation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Large-Signal Operation The linear range of operation of the MOS differential pair can be extended by operating the transistor at a higher value of  V OV .
Small-Signal Operation of MOS Differential Pair ,[object Object],[object Object],[object Object],[object Object],[object Object]
Differential Gain ,[object Object],[object Object]
Differential Gain Signal voltage at the joint source connection must be zero.
Differential Gain An alternative way of looking at the small-signal operation of the circuit .
Differential Gain ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Differential Gain MOS differential amplifier with  r o  and  R SS  taken into account.
Differential Gain ,[object Object],[object Object]
Differential Gain ,[object Object],[object Object],[object Object]
Common-Mode Gain The MOS differential amplifier with a common-mode input signal  v icm .
Common-Mode Gain ,[object Object],[object Object]
Common-Mode Gain ,[object Object],[object Object],[object Object]
Common-Mode Rejection Ratio ,[object Object],[object Object],[object Object],[object Object]
Mismatch on CMRR ,[object Object],[object Object]
Mismatch on CMRR ,[object Object],[object Object],[object Object]
Mismatch on CMRR ,[object Object]
The BJT Differential Pair ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The BJT Differential Pair The basic BJT differential-pair configuration.
Basic Operation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Basic Operation ,[object Object],[object Object],[object Object]
Basic Operation ,[object Object],[object Object],[object Object]
Basic Operation ,[object Object],[object Object],[object Object],[object Object]
Large-Signal Operation
Large-Signal Operation ,[object Object],[object Object],[object Object],[object Object]
Large-Signal Operation The transfer characteristics of the BJT differential pair  (a)  can be linearized by including resistances in the emitters.
Small Signal Operation The currents and voltages in the differential amplifier when a small differential input signal  v id  is applied.
Small Signal Operation A simple technique for determining the signal currents in a differential amplifier excited by a differential voltage signal  v id ; dc quantities are not shown.
Small Signal Operation ,[object Object],[object Object]
Input Differential Resistance ,[object Object],[object Object],[object Object]
Differential Voltage Gain ,[object Object],[object Object],[object Object]
Differential Voltage Gain ,[object Object],[object Object],[object Object],[object Object]
Differential Half-Circuit Analysis ,[object Object],[object Object],[object Object],[object Object]
Differential Half-Circuit Analysis ,[object Object],[object Object],[object Object],[object Object]
Differential Half-Circuit Analysis ,[object Object],[object Object],[object Object]
Common-Mode Gain  The differential amplifier fed by a common-mode voltage signal  v icm .
Common-Mode Gain  Equivalent “half-circuits” for common-mode calculations.
Common-Mode Gain  ,[object Object],[object Object],[object Object]
Common-Mode Rejection Ratio  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Input Common-Mode Resistance  ,[object Object],[object Object]
Input Common-Mode Resistance  ,[object Object],[object Object]
Example
Example (cont’d)  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Differential Amplifier with Active Load ,[object Object],[object Object]
Differential-to-Single-Ended Conversion A simple but inefficient approach for differential to single-ended conversion.
The Active-Loaded MOS Differential Pair The active-loaded MOS differential pair.
The Active-Loaded MOS Differential Pair The circuit at equilibrium assuming perfect matching.
The Active-Loaded MOS Differential Pair The circuit with a differential input signal applied, neglecting the  r o  of all transistors.
Differential Gain of the Active-Loaded MOS Pair ,[object Object],[object Object],[object Object],[object Object]
Short-Circuit Transconductance Determining the short-circuit transconductance  G m   =  i o / v id
Short-Circuit Transconductance
Output Resistance Circuit for determining  R o . The circled numbers indicate the order of the analysis steps.
Output Resistance ,[object Object],[object Object]
Differential Gain ,[object Object],[object Object]
Common-Mode Gain and CMRR ,[object Object],[object Object],[object Object]
Common-Mode Gain and CMRR ,[object Object],[object Object],[object Object],[object Object]
The Bipolar Differential Pair with Active Load Active-loaded bipolar differential pair.
Determine the Transconductance
Determine the output Resistance
Differential Gain ,[object Object],[object Object],[object Object]
Common-Mode Gain and CMRR ,[object Object],[object Object]
Frequency Response of the Resistively Loaded MOS Amplifier ,[object Object],[object Object]
Frequency Response of the Resistively Loaded MOS Amplifier (b)  Differential half-circuit.  (c)  Common-mode half-circuit.
Frequency Response of the Resistively Loaded MOS Amplifier common-mode gain
Frequency Response of the Resistively Loaded MOS Amplifier Differential Gain
Frequency Response of the Resistively Loaded MOS Amplifier CMRR with frequency.
Multistage Amplifier ,[object Object],[object Object]
Multistage Amplifier
Multistage Amplifier ,[object Object],[object Object],[object Object],[object Object],[object Object]
 
Multistage Amplifier Equivalent circuit for calculating the gain of the input stage of the example. Input differential resistance Gain of first stage
Multistage Amplifier Equivalent circuit for calculating the gain of the second stage  of the example. Gain of  second  stage
Multistage Amplifier Equivalent circuit for calculating the gain of the  third  stage  of the example. Gain of  third  stage
Multistage Amplifier Equivalent circuit for calculating the gain of the  output  stage  of the example. Gain of  output  stage Output resistance
Two-Stage CMOS Op-Amp Configuration

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Tarun