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. Signal xi(t) is bandlimited to 5 KHz and signal x2(t) is bandlimited to 10 KHz

ID: 2293093 • Letter: #

Question

. Signal xi(t) is bandlimited to 5 KHz and signal x2(t) is bandlimited to 10 KHz. Define the signal x3(t) x1 (t)X2 (t). 3.1 What is the Nyquist rate for x3 (t)? 3.2 x3(t) is sampled at the rate of fs greater than the Nyquist rate to obtain the discrete time signal x3 (n). The discrete time signal x3 (n) is used to reconstruct x3(t) with the same sampling period T, Specify the equalizer filter E(f) to recover x3(t) if the reconstruction pulse used is p(t) = ?(4t-). Assume a time delay to is allowed in designing the equalize 2 filter.

Explanation / Answer

3.1 Nyquist Rate = 2*fs

For x3(t) = x1(t) . x2(t)

Nyquist rate is given as

NR = 2 . (f1 + f2) = 2(5+10) = 30 KHz