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

Extracted text: Examlpe: Assume that an analog signal is given by a) x(t) = 5 cos(4 × 10°nt) + 3 cos(6 × 10°nt),t > 0 b) x(t) = 5 cos(4 × 10³nt) + 1 cos(10 × 10³nt),t > 0 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.