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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

Yiran:

x[n] = sin(2*pi/100*n)= 1/(2*j)*(exp(j*2*pi/100*n)-exp(-j*2*pi/100*n))

X(w) = \sum \left( \right)

Answer 2

Write it here.


Answer 3

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