Signals and Systems - Engineering

Q1:

A rectangular pulse train s(t) is shown in figure is convolved with the signal cos2(4p x 103t). The convolved signal will be a

A DC

B 12 kHZ sinusoidal

C 8 kHZ sinusoidal

D 14 kHZ sinusoidal

ANS:D - 14 kHZ sinusoidal

First find the Fourier series of given pulse that is And fm from (2) ⇒ 4 kHz When we multiply x1(t) and x2(t - t) We get term like fs ± fm, 2fs ± fm, 3fs ± fm, 4fs ± fm and fs = 10 kHz fm = 4kHz Hence from above relation (10+4) kHz ⇒ 14 kHz signal will be present in x(t).