Prove that the Fourier transform of (x(n)=mathrm{e}^{mathrm{j} omega_{0} n}) is given by Equation (2.216) by computing [Xleft(mathrm{e}^{mathrm{j}

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Prove that the Fourier transform of $x(n)=\mathrm{e}^{\mathrm{j} \omega_{0} n}$ is given by Equation (2.216) by computing

\[X\left(\mathrm{e}^{\mathrm{j} \omega}\right)=\lim _{N \rightarrow \infty} \sum_{n=-N}^{N} x(n) \mathrm{e}^{-\mathrm{j} \omega n}\]

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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 02:01 AM

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Prove that the Fourier transform of (x(n)=mathrm{e}^{mathrm{j} omega_{0} n}) is given by Equation (2.216) by computing [Xleft(mathrm{e}^{mathrm{j}

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To compute the Fourier transform of the signal xn mathrmemathrmjomega0 n we can start by evaluating the expression for Xemathrmjomega given by Xemathr...View the full answer

Digital Signal Processing System Analysis And Design

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