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The signal can be reconstructed for all T &lt; 1/3.  
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The signal can be reconstructed for all T &lt; 1/3.
--[[User:Ssanthak|Ssanthak]] 12:09, 20 April 2011 (UTC)
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--[[User:Ssanthak|Ssanthak]] 12:09, 20 April 2011 (UTC)
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=== Answer 2  ===
 
=== Answer 2  ===

Revision as of 07:10, 20 April 2011

Practice Question on sampling and reconstruction (related to Nyquist rate)

The signal

$ x(t)= \frac{\sin (3 \pi t)}{\pi t} $

is sampled with a sampling period T. For what values of T is it possible to reconstruct the signal from its sampling?


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Answer 1

from the Table

x(w) = u(w+3pi)-u(w-3pi)


Thus the signal is bandlimited with a wm = 3pi

We must sample above the Nyquist Rate which is equal to 2wm or 6pi

ws > 6pi

T = 2pi/ws < 2/6 = 1/3


The signal can be reconstructed for all T < 1/3.

--Ssanthak 12:09, 20 April 2011 (UTC)


Answer 2

Write it here

Answer 3

Write it here.


Back to ECE301 Spring 2011 Prof. Boutin

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva