Consider two finite-duration sequences x[n] and y[n]. x[n] is zero for n 19, as indicated in Figure

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Let w[n] denote the linear convolution of x[n] and y[n], Let g[n] denote the 40-point circular convolution of x[n] and y[n]:?

(a) Determine the values of n for which w[n] can be nonzero.

(b) Determine the values of n for which w[n] can be obtained from g[n]. Explicitly specify at what index values n in g[n] these values of w[n] appear.

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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 two finite-duration sequences x[n] and y[n]. x[n] is zero for n 19, as indicated in Figure

Question:

x[n] 30 39 (a) y [n) 10 19 (b) w{n] = x{n] + y[n] = 2 *Ik]y[n - k]. 39 8(n] = x{n]@ y[n] = x(kly{((n - k)4). k=)

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Discrete Time Signal Processing

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