The following are three different signals x i n that are the sum of two sinusoids x 1 n cos (n 4) cos (17n 64), x 2 n cos (n 4) 0 8 cos (21n 64), x 3 n cos (n 4) 0 001 cos (21n 64) We wish to estimate the spectrum of each of these signals using a 64 point DFT with a 64 point rectangular window w n ...

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The following are three different signals x i [n] that are the sum of two sinusoids: x

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The following are three different signals x_i[n] that are the sum of two sinusoids:

x₁[n] = cos (πn/4) + cos (17πn/64),

x₂[n] = cos (πn/4) + 0.8 cos (21πn/64),

x₃[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 window w[n]. Indicate which of the signals’ 64-point DFTs you would expect to have two distinct spectral peaks after windowing.

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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Question Posted: May 26, 2011 02:57 AM

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The following are three different signals x i [n] that are the sum of two sinusoids: x

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Discrete Time Signal Processing

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