Problem 1: Consider the circuit shown in Figure 1. This is called

a "telescopic cascode" amplifier. Assume that all transistors are

in saturation. Do not ignore channel length modulation. Assume

that all nMOS transistors have small signal parameters, gm,n and

Ton, and all pMOS transistors have small signal parameters, gm.p

and ro.p. Assume that gm,xfo,x >> 1 for x = n, p.

(a) Calculate Rout.

(b) Calculate Vout/Vin.

(c) Calculate the range of values for Vout such that all transistors

remain in saturation. Assume that all nMOS transistors have the

same overdrive, Vod,n = VGS,n - VTH,n, all pMOS transistors have

the same overdrive, Vod,p = VSG.p - VTH.pl, and the supply is VDD.

(5+5+5= 15 points)

VGH

Vin"

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4 M2

MI

Figure 1

Vout