Let ã[n] be a periodic sequence with period N = 10. The Fourier Transform of [n] is given by r=00 r=0 14T X (ejw) = E 46(w - 2πr) + Σ 36ω. - 2πr). N N r=-0 r=-0 Find ã[n].

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let \(\tilde{x}[n]\) be a periodic sequence with period \(N = 10\). The Fourier Transform of \(\tilde{x}[n]\) is given by

\[
\tilde{X}(e^{j\omega}) = \sum_{r=-\infty}^{\infty} 4\delta\left(\omega - \frac{4\pi}{N} - 2\pi r\right) + \sum_{r=-\infty}^{\infty} 3\delta\left(\omega - \frac{14\pi}{N} - 2\pi r\right).
\]

Find \(\tilde{x}[n]\).
Transcribed Image Text:Let \(\tilde{x}[n]\) be a periodic sequence with period \(N = 10\). The Fourier Transform of \(\tilde{x}[n]\) is given by \[ \tilde{X}(e^{j\omega}) = \sum_{r=-\infty}^{\infty} 4\delta\left(\omega - \frac{4\pi}{N} - 2\pi r\right) + \sum_{r=-\infty}^{\infty} 3\delta\left(\omega - \frac{14\pi}{N} - 2\pi r\right). \] Find \(\tilde{x}[n]\).
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