Consider a signal x(n) with Fourier transform (c) Show that the bandlimited i...

Consider a signal x(n) with Fourier transform

(c) Show that the bandlimited interpolation in part (b) can be thought of as a two-step process, first, increasing the sampling rate by a factor of D by inserting (D — 1) zero samples between successive samples of the decimated signal and second, filtering the resulting signal using an ideal lowpass filter with cutoff frequency co,.