Consider the sequence [x(n)=delta(n)+2 delta(n-1)-delta(n-2)+delta(n-3)] (a) Compute its length-4 DFT. (b) Compute the finite-length sequence (y(n)) of

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Consider the sequence

\[x(n)=\delta(n)+2 \delta(n-1)-\delta(n-2)+\delta(n-3)\]

(a) Compute its length-4 DFT.

(b) Compute the finite-length sequence $y(n)$ of length- 6 whose DFT is equal to the imaginary part of the DFT of $x(n)$.

(c) Compute the finite-length sequence $w(n)$ of length-4 whose DFT is equal to the imaginary part of the DFT of $x(n)$.

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Digital Signal Processing System Analysis And Design

ISBN: 9780521887755

2nd Edition

Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto

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Question Posted: Mar 27, 2024 02:00 AM

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Consider the sequence [x(n)=delta(n)+2 delta(n-1)-delta(n-2)+delta(n-3)] (a) Compute its length-4 DFT. (b) Compute the finite-length sequence (y(n)) of

Question:

Step by Step Answer:

Sure Lets compute the requested values stepbystep a To compute the length4 DFT of sequence xn we can directly apply the definition of the Discrete Fourier Transform Xk sumn0N1 xn mathrmejfrac2piNkn wh...View the full answer

Digital Signal Processing System Analysis And Design

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