(1) Apply the Hilbert transform on each of the following message signals, mi(t) and m²(t), in the time domain using MATLAB. Plot the results and include it in your report. Figures 1 and 2 are, respectively, the illustrations of the Rectangular pulse, and Triangular pulse. (a) mi(t) = (5) II (x) (b) m2(t) = A = A (t−0.5) 1❘ (†) 10 (a) Fig. 1: Rectangular pulse (b) #t A(x) A(+) 0 (a) n (b) Fig. 2: Definition and illustration of the Rectangular pulse and Sinc function (2) Plot each spectrum of the Hilbert transform from (1) via using MATLAB. That is, describe Mh,1(f) and Mh,2(f). Think of the reason if you see any interesting property. 2

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If the frequency of the input voltage in the figure below is increased, the frequency of the output signal will be: (a) increases (b) decreases (c) does not change

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