The Question is...

In problems #3.22, part (b) and #3.23, parts (b) and (c), write a MATLAB script to perform the following.

a) plot the magnitude and phase Fourier spectra of the signal for the first N harmonics;

b) plot the original signal and its reconstruction (synthesis) from its first N harmonics. Perform this for N = 1, 5, 10, 20, 100. Show your scripts and plots. Make sure you use adequate labels and axes ranges in your plots to clearly visualize the signals in both the time and frequency domains.

3.22. Determine the Fourier series representations for the following signals: (a) Each x(t) illustrated in Figure P3.22(a)-(f). (b) x(t) periodic with period 2 and X(t) = e et for -1 Ao = (c) ak { 2 kat jk, kl Ao = (c) ak { 2 kat jk, kl