Shown in the figures is a system in which the sampling signal is an impulse train with alternating sign. The Fourier Transform of the input signal is as indicated in the figures:
(i) For , sketch the Fourier transform of and .
(ii) For , determine a system that will recover from .
(iii) For , determine a system that will recover from .
(iv) What is the maximum value of in relation to for which can be recovered from either or ?
, sketch the Fourier transform of 
and 
. 
, determine a system that will recover 
from 
. 
, determine a system that will recover 
from 
. 
in relation to 
for which 
can be recovered from either 
or 
? 
