Examlpe: Assume that an analog signal is given by a) x(t) = 5 cos(4 × 10³nt) + 3 cos(6 x 10 nt),t 2 0 b) x(t) = 5 cos(4 × 10³nt) + 1 cos(10 x 10 rt),t N0 and is sampled at the rate of 8KHZ. Sketch the...

Extracted text: Examlpe: Assume that an analog signal is given by a) x(t) = 5 cos(4 × 10³nt) + 3 cos(6 x 10 nt),t 2 0 b) x(t) = 5 cos(4 × 10³nt) + 1 cos(10 x 10 rt),t N0 and is sampled at the rate of 8KHZ. Sketch the spectrum for the sampled signal from 0 to 20kHz. Sketch the recovered analoge signal spectrum if an ideal LPF with a cutoff frequency of 4KHZ used to filter the sampled signal (y(n) = x(n) )to recover the original signal. %3D %3D 1 > Ts Xs(f) X(f – nfs) f n=ー00