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| − | x[n] = sin(2*pi/100*n)= 1/(2*j)*(exp(j*2*pi/100*n)-exp(-j*2*pi/100*n)) | + | <math> x[n] = sin(2*pi/100*n)= 1/(2*j)*(exp(j*2*pi/100*n)-exp(-j*2*pi/100*n)) <\math> |
| − | X(w) = \sum \left( \right) | + | <math> X(w) = \sum \left( \right) <\math> |
===Answer 2=== | ===Answer 2=== | ||
Revision as of 15:49, 12 September 2013
Practice Problem on Discrete-time Fourier transform computation
Compute the discrete-time Fourier transform of the following signal:
$ x[n]= \sin \left( \frac{2 \pi }{100} n \right) $
(Write enough intermediate steps to fully justify your answer.)
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Answer 1
$ x[n] = sin(2*pi/100*n)= 1/(2*j)*(exp(j*2*pi/100*n)-exp(-j*2*pi/100*n)) <\math> <math> X(w) = \sum \left( \right) <\math> ===Answer 2=== Write it here. ===Answer 3=== ---- [[2013_Fall_ECE_438_Boutin|Back to ECE438 Fall 2013]] $
