Note: for all continuous time signals x(t), time t = R; for all discrete time signals x[k], time index k Z. Let x(t) be a continuous time signal and xs[k] be its sampled signal given by k xs[k] = sinc(; 50 Assume that the sampling rate fs = 50Hz is greater than the Nyquist frequency. (a) Derive the discrete time Fourier Fransform p (F) of x[k]. (b) Plot the frequency signal p (F). (c) Determine the Fourier Transform (f) from p(F). (d) Plot the frequency signal (f). (e) Determin x(t) from (f) by taking its inverse Fourier Transform.