Discrete Fourier Transforms

The questions below are due on Thursday April 10, 2025; 02:00:00 PM.

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Using an analysis width N=32, determine the DFTs of each of the following signals.

x_1[n] = \cos({\pi\over4}n)

x_2[n] = \sin({\pi\over 4}n)

x_3[n] = \cos({\pi\over 8}n)

x_4[n] = \left({1\over 2}\right)^nu[n]

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