(New page: = Practice Question on sampling and reconstruction (related to Nyquist rate) = The signal <math> x(t)= \frac{\sin (3 \pi t)}{\pi t} </math> is sampled with a sampling period <math cla...) |
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= Practice Question on sampling and reconstruction (related to Nyquist rate) = | = Practice Question on sampling and reconstruction (related to Nyquist rate) = | ||
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The signal | The signal | ||
<math> x(t)= \frac{\sin (3 \pi t)}{\pi t} </math> | <math> x(t)= \frac{\sin (3 \pi t)}{\pi t} </math> | ||
| − | is sampled with a sampling period < | + | is sampled with a sampling period <span class="texhtml">''T''</span>. For what values of T is it possible to reconstruct the signal from its sampling? |
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== Share your answers below == | == Share your answers below == | ||
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You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too! | You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too! | ||
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=== Answer 1 === | === Answer 1 === | ||
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| + | from the Table | ||
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| + | x(w) = u(w+3pi)-u(w-3pi) | ||
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| + | Thus the signal is bandlimited with a wm = 3pi | ||
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| + | We must sample above the Nyquist Rate which is equal to 2wm or 6pi | ||
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| + | ws > 6pi | ||
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| + | T = ..... still in progress..... | ||
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=== Answer 2 === | === Answer 2 === | ||
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Write it here | Write it here | ||
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=== Answer 3 === | === Answer 3 === | ||
| − | Write it here. | + | |
| + | Write it here. | ||
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Revision as of 08:05, 20 April 2011
Contents
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?
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
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.
