y(t)=4 \cos (2 \pi 200 t)+3 \cos (2 \pi 400 t)-2 \cos (2 \pi 800 t)-3 \cos (2 \pi 1400 t)+5 \cos (2 \pi 1600 t+\pi / 2) a) Find

the DT signal obtained by sampling y(t) with a sampling period of T = 1 msec/sample.Express your answer in the simplest form possible and comment on aliasing. (Do NOT need to sketch the signal). b) Repeat part a) for a sampling rate of 3200 HZ ( t= 1/3200 SEC/SAMPLE) AND EXPLAIN WHY NYQUIST SAMPLING CONDITION IS Fs > 2Fmax rather than simply Fs = 2F max c) Repeat part a) for a sampling rate of 3300 Hz.