Consider the finite-length sequence x[n] = 2[n] + [n 1] + [n 3]. We perform

Question:

Consider the finite-length sequence

x[n] = 2δ[n] + δ[n – 1] + [n – 3].

We perform the following operation on this sequence:

(i) We compute the five-point DFT X[k].

(ii) We compute a five-point inverse DFT of Y[k] = X[k]² to obtain a sequence y[n].

(a) Determine the sequence y[n] for n = 0, 1, 2, 3, 4.

(b) If N-point DFTs are used in the two-step procedure, how should we choose N so that y[n] = x [n]* x[n] for 0 ≤ n ≤ N – 1?

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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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Consider the finite-length sequence x[n] = 2[n] + [n 1] + [n 3]. We perform

Question:

Step by Step Answer:

a b This procedure perform the autocorrelation of a real sequence Using the properties of the D...View the full answer

Discrete Time Signal Processing

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