Differential Amplifiers: Small Signal Analysis 1. Given the circuit in Fig. 1, and given the small signal parameters for each PMOSFET transistor (gm;, Tz, and r.), and that each current source has a finite output resistance, Rtail. (a) Determine the small signal differential voltage gain, Adm = parameters, and the resistor values, R, RL and Rtail. as a function of the transistor small signal Vid , as a function of the transistor small signal (b) Determine the small signal common-mode voltage gain, Acm = parameters, and the resistor values, R, RL and Rtail. (c) Calculate the common-mode rejection ratio of the amplifier as a function of the transistor small signal parameters, and the resistor values, R, RL and Rtail-

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VDD
VDD
R
M1
M2
Vi2
Vo2 0
RL
RL
Figure 1:
Differential Amplifiers: Small Signal Analysis
1. Given the circuit in Fig. 1, and given the small signal parameters for each PMOSFET transistor (gm; T; and ro), and
that each current source has a finite output resistance, Rtail-
(a) Determine the small signal differential voltage gain, Adm
parameters, and the resistor values, R, RL and Rtail-
as a function of the transistor small signal
Vid
as a function of the transistor small signal
(b) Determine the small signal common-mode voltage gain, Acm
parameters, and the resistor values, R, RL and Rtail.
(c) Calculate the common-mode rejection ratio of the amplifier as a function of the transistor small signal parameters,
and the resistor values, R, RL and Rtail-
Vic
(d) What do you think is the purpose of the resistor R? Have we seen this circuit technique before?
(e) Calculate the differential output resistance, Rod as a function of the transistor small signal parameters, and the
resistor values,
RL and Rtail-
(f) Calculate the common-mode output resistance, Roc as a function of the transistor small signal parameters, and
the resistor values, R, RL and Rtail.
Transcribed Image Text:VDD VDD R M1 M2 Vi2 Vo2 0 RL RL Figure 1: Differential Amplifiers: Small Signal Analysis 1. Given the circuit in Fig. 1, and given the small signal parameters for each PMOSFET transistor (gm; T; and ro), and that each current source has a finite output resistance, Rtail- (a) Determine the small signal differential voltage gain, Adm parameters, and the resistor values, R, RL and Rtail- as a function of the transistor small signal Vid as a function of the transistor small signal (b) Determine the small signal common-mode voltage gain, Acm parameters, and the resistor values, R, RL and Rtail. (c) Calculate the common-mode rejection ratio of the amplifier as a function of the transistor small signal parameters, and the resistor values, R, RL and Rtail- Vic (d) What do you think is the purpose of the resistor R? Have we seen this circuit technique before? (e) Calculate the differential output resistance, Rod as a function of the transistor small signal parameters, and the resistor values, RL and Rtail- (f) Calculate the common-mode output resistance, Roc as a function of the transistor small signal parameters, and the resistor values, R, RL and Rtail.
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