T 8.2 Consider the sampling of a sinc signal and related signals. (a) For the signal x(t) = sin(t)/t, find its magnitude spectrum |X(2)| and determine if this signal is band-limited or not. (b) What would be the sampling period T, you would use for sampling x(t) without aliasing? (c) For a signal y(t) = x²(t) what sampling frequency f, would you use to sample it without aliasing? How does this frequency relate to the sampling frequency used to sample x(t)? (b) Find the sampling period T, to sample x(t) so that the sampled sig- nal x,(0) = 1 otherwise x(nT) = 0 for n = 0. Answers: x(t) band-limited with max = 1 (rad/sec); for x²(t), T≤л/2.