For the differentiator system found in Ex. 6.21, the input is xc(t) = cos(2000πt), and the sampling rate is 4 kHz. Sketch the signals and the corresponding spectra at (a) the input of the C/D...

For the differentiator system found in Ex. 6.21, the input is xc(t) = cos(2000πt), and the sampling rate is 4 kHz. Sketch the signals and the corresponding spectra at (a) the input of the C/D converter, (b) the input of H(Ω), (c) the output of H(Ω), and (d) the output of the D/C converter. Is the system doing what is expected of it? Explain.