Let x 1 [n] be a sequence obtained by expanding the sequence x[n] = (1/4) n u[n]

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Let x₁[n] be a sequence obtained by expanding the sequence x[n] = (1/4)ⁿ u[n] by a factor of 4; i.e.,

Find and sketch a six-point sequence q[n] whose six-point DFT Q[k] satisfies the two constraints.

?Q[0] = X₁(1),

Q[3] = X₁(? 1),

?where X₁(z) represents the z-transform of X₁[n].

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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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Let x 1 [n] be a sequence obtained by expanding the sequence x[n] = (1/4) n u[n]

Question:

x\n/4]. 0. otherwise. k = 0, 14, 18..... xi[n} =

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Discrete Time Signal Processing

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