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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 = ..... still in progress.....

Answer 2

Write it here

Answer 3

Write it here.


Back to ECE301 Spring 2011 Prof. Boutin

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Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal