1. Given the circuit in Fig. 1, and given the small signal parameters for each PMOSFET transistor (gm, r#, and ro), and that each current source has a finite output resistance, Rµail · (a) Determine the small signal differential voltage gain, Adm = d, as a function of the transistor small signal parameters, and the resistor values, R, Rµ and Rtail- Pla , as a function of the transistor small signal (b) Determine the small signal common-mode voltage gain, Aem = parameters, and the resistor values, R, R1 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·

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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VDD
I
R
M2
o Vi2
Va
M1
Vol
Vo2 0
RL
RL
Figure 1:
Transcribed Image Text:VDD I R M2 o Vi2 Va M1 Vol 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, Tx, 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, R1 and Rtail-
as a function of the transistor small signal
%3D
Pla
Pas, as a function of the transistor small signal
(b) Determine the small signal common-mode voltage gain, Aem =
parameters, and the resistor values, R, R1 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, R1 and Rtail·
(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, R, R1 and Rtail-
(f) Calculate the common-mode output resistance, Roc as a function of the transistor small signal parameters, and
the resistor values, R, R1 and Rtait-
Transcribed Image Text:Differential Amplifiers: Small Signal Analysis 1. Given the circuit in Fig. 1, and given the small signal parameters for each PMOSFET transistor (gm, Tx, 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, R1 and Rtail- as a function of the transistor small signal %3D Pla Pas, as a function of the transistor small signal (b) Determine the small signal common-mode voltage gain, Aem = parameters, and the resistor values, R, R1 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, R1 and Rtail· (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, R, R1 and Rtail- (f) Calculate the common-mode output resistance, Roc as a function of the transistor small signal parameters, and the resistor values, R, R1 and Rtait-
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