Question: Construct the discrete Fourier coefficients for based on n = 128 sample points. Then graph the reconstructed function when using the data compression algorithm that

Construct the discrete Fourier coefficients for

0sxSл. — х, %3D х -т, л <x<л. + 2л, — л Sx<2л f(x) = x

based on n = 128 sample points. Then graph the reconstructed function when using the data compression algorithm that retains only the 11 and 21 lowest frequency modes. Discuss what you observe.

0sxS. , %3D -,

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