The following are three different signals xi[n] that are the sum of two sinusoids:
x 1[n] = cos (πn/4) + cos (17πn/64) ,
x 2[n] = cos (πn/4) + 0.8 cos (21πn/64) ,
x 3[n] = cos (πn/4) + 0.001 cos (21πn/64) .
We wish to estimate the spectrum of each of these signals using a 64-point DFT with a 64-point rectangular windoww[n]. Indicate which of the signals’ 64-point DFTs you would expect to have two distinct spectral peaks after windowing.
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