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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The input signal for the sampling and reconstruction system in Fig. 12.12(a) is
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for -∞ < t="">< ∞.="" the="" frequency="" response="" of="" the="" lowness="" reconstruction="" filter="" is="">

where
, is the sampling period.
(a) Determine the Fourier transform X(jω) and plot the Fourier transform X,(jω) for -2π/
, < ω=""><>
, for the case where 2Ï€/
, = 1000Ï€. Carefully label your sketch. What is the output
(t) in this case?
(b) Now assume that ω = 2π/
, = 500Ï€. Determine an equation for the output
 (t).
(c) Is it possible to choose the sampling rate so that
![]()
where A is a constant? If so, what is the value of
, and what is the numerical value of A?

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