Letm(t) = sinc2(t) andmh(t) be its hilbert transform. denote the upper side band modulatedwaveform asxusb(t) =am(t) cos(2000πt)−amh(t) sin(2000πt)

(a) sketch the fourier transforms ofm(t) andmh(t).

(b) sketch the fourier transformx(f) of the complex baseband ofxusb(t) with respectto carrier frequency 1000.

The Hilbert transform we use in mathematics it usually apply on a function consisting of a real variable and produces another function of a real variable.

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