Consider two signals, x(t) and x(t), that are band-limited such that X (jw) = 0 for |w| w The product of the two signals, x(t) = x(t)x (t), is to be sampled by a periodic impulse train. a) Is x (t) band-limited? If so, what is the support (i.e., range of non-zero values) for X (jw)? X (jw) = 0 for |w| w b) What is the Nyquist rate for the signal x(t)? c) What is the maximum sampling interval, T, of the impulse train that would be required for x(t) to be recoverable from the sampled signal? (Assuming use of an ideal lowpass filter)