A pulse p(t) = Π(1250t) is periodically replicated to form the pulse train shown in Fig. P XXXXXXXXXXMathematically, Using x(t) = sinc(200t), find and sketch the spectrum of the sampled signal x (t) =...

A pulse p(t) = Π(1250t) is periodically replicated to form the pulse train shown in Fig. P3.1-12. Mathematically,

Using x(t) = sinc(200t), find and sketch the spectrum of the sampled signal x(t) =
 (t)x(t). Explain whether it is possible to reconstruct x(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth B Hz is between 100 and 150 Hz? What happens if the filter bandwidth exceeds 150 Hz?