Question: The circuit shown in Fig. is a dual-gate mixer used in traditional microwave design. Assume when M1 is on, it has an on-resistance of Ron1. Also, assume abrupt edges and a 50% duty cycle for the LO and neglect channel-length modulation and body effect.
(a) Compute the voltage conversion gain of the circuit. Assume M2 does not enter the triode region and denote its trans conductance by gm2.
(b) If Ron1 is very small, determine the IP2 of the circuit. Assume M2 has an overdrive of VGS0 - VTH in the absence of signals (when it is on).