Q3: Consider the mixer circuit shown below. What must w, and 0, be possibly in terms of we and e(t)? What is the necessary filter type (LPF, HPF, BPF) and the output signal vo(t)? for the following cases. Show your results and fill the table given below a) Assume that we want to detect the envelop R(t) of the input signal Vin(t) at the output. b) Assume that we want to down-convert the input signal vin(t) to a carrier frequency of 0.5w, at the output. c) Assume that we want to up-convert the input signal vin (t) to a carrier frequency of 4w, at the output. Vi(t) (X) Filter Gain=1 Vin(t)= R(t) cos[at+8 (t)] Oscillator v,(t) 2 cos[@,1 +0,] Output Vo(1) Filter Type Frequency ws Phase Output Signal v(t) Part (a) Part (b) Part (c)