Consider a sequence x n and its discrete time Fourier transform X(e j ) The following is known x n is real, x 0 0, x 1 0, X(e j ) 2 5 4 cos Determine two distinct sequences x 1 n and x 2 n consistent with the given information ...

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Consider a sequence x[n] and its discrete-time Fourier transform X(e j ). The following is known: x[n]

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Consider a sequence x[n] and its discrete-time Fourier transform X(e^jω). The following is known:

x[n] is real,

x[0] = 0,

x[1] > 0,

|X(e^jω)|² = 5/4 – cosω.

Determine two distinct sequences x₁[n] and x₂[n] consistent with the given information.

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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 a sequence x[n] and its discrete-time Fourier transform X(e j ). The following is known: x[n]

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Discrete Time Signal Processing

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