Module 3 : Sampling and Reconstruction
Problem 1 :
 

Problem 1

Shown in figure below is a system in which the sampling signal is an impulse train with alternating sign.

                      

The sampling signal p(t), the Fourier Transform of the input signal x(t) and the frequency response of the filter are shown below:

                      

                                                                      

(a) For , sketch the Fourier transform of xp(t) and y(t) .

(b) For , determine a system that will recover x(t) from xp (t) and another that will recover x(t) from y(t).
(c) What is the maximum value of in relation to wM for which x(t) can be recovered from either xp( t) or y(t)?
 

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
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