Suppose x(t) shown in Fig. 1has to be sampled using the comb functions(t) = $(t-nT) such...

Transcribed Image Text:

Suppose x(t) shown in Fig. 1has to be sampled using the comb functions(t) = $(t-nT) such Σ 3118 that the sampled signal is (t) = x(t)xs(t): a) Find and draw the Fourier transform X(f) and Xs(f). b) What are the minimum sampling rate (f) and the maximum sampling interval(7) that you could use so you can reconstruct x(t) back to its origin from the sampled signal x, (t)? c) Sketch the spectrum of the sampled signal X, (f) when the sampling rate is f = 1500Hz and f = 3000Hz ? In Which case we can reconstruct the signal back to its origin? x(t) = sinc(2000t) OT 2 Fig. 1 for f (kHz) Suppose x(t) shown in Fig. 1has to be sampled using the comb functions(t) = $(t-nT) such Σ 3118 that the sampled signal is (t) = x(t)xs(t): a) Find and draw the Fourier transform X(f) and Xs(f). b) What are the minimum sampling rate (f) and the maximum sampling interval(7) that you could use so you can reconstruct x(t) back to its origin from the sampled signal x, (t)? c) Sketch the spectrum of the sampled signal X, (f) when the sampling rate is f = 1500Hz and f = 3000Hz ? In Which case we can reconstruct the signal back to its origin? x(t) = sinc(2000t) OT 2 Fig. 1 for f (kHz)

Answer rating: 100% (QA)

Given the information lets solve each part of the question step by step a Find and draw the Fourier transform Xf and Xsf xt is given as textsinc2000t ... View the full answer