The Fourier transform of the rectangular pulse in Illustrative Problem 6.1 and the power spectrum…

The Fourier transform of the rectangular pulse in Illustrative Problem 6.1 and the power spectrum Sv (j) can be computed numerically with MATLAB by using the discrete Fourier transform (DFf) or the FFf algorithm. Let us normalize T = 1 and σ2a = 1. Then sample the rectangular pulse g(t) at t = k/10 fork = 0, 1, 2, … , 127. This yields the sequence {gk} of sample values of g(t). Use MATLAB to compute the 128-point DFf of {gk} and plot the values IGml2 form = 0, 1, … , 127. Also plot the exact spectrum I G(j) 12 given in (6.2.13) and compare the two results.