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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(2pi/100*n) $
$ x[n] = 1/(2*j)*(exp(j*2*pi/100*n)-exp(-j*2*pi/100*n)) $
$ X_(\omega) = \sum_{n=-\infty}^{+\infty} x[n] e^{-j\omega n} $
Answer 2
Write it here.
