Suppose the DFT (X(k) ) of a sequence as represented by the vector mathbf X left begin array llllllll 4 2 2 2 2 2 2 4 end array ight mathrm T (a) Compute the corresponding IDFT using the adequate DFT properties (b) Compute the sequence whose length 8 DFT is given by (Y(k) W 8 3 k X(k) ) ...

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Suppose the DFT (X(k)) of a sequence as represented by the vector [mathbf{X}=left[begin{array}{llllllll}4 & 2 & 2

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Suppose the DFT $X(k)$ of a sequence as represented by the vector

\[\mathbf{X}=\left[\begin{array}{llllllll}4 & 2 & 2 & 2 & 2 & 2 & 2 & 4\end{array}\right]^{\mathrm{T}} .\]

(a) Compute the corresponding IDFT using the adequate DFT properties.

(b) Compute the sequence whose length-8 DFT is given by $Y(k)=W_{8}^{3 k} X(k)$.

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Related Book For answer-question

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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Suppose the DFT (X(k)) of a sequence as represented by the vector [mathbf{X}=left[begin{array}{llllllll}4 & 2 & 2

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Digital Signal Processing System Analysis And Design

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