The signal is given as y(t) = 2 sin(2 10t) +3 cos(2 20t).

(a) Find the Nyquist sampling rate, f N , of the signal y(t). (b) If y(t) is sampled at f s = 100 Hz, nd the values of the rst 5 samples sampled at t = nT s (n = 0, 1, 2, 3, 4), where T s is the sampling interval. (c) If you are given that y max (t) = 3 and y min (t) = 5, and using the uniform quantizer shown below, nd the quantization stepsize q, the corresponding quantization levels and the corresponding PCM code of the 5 samples in part (b). (d) For the above quantizer, nd the signal-to-quantization-noise ratio SNR.