Determine a sequence x n that satisfies all of the following three conditions Condition 1 The Fourier transform of x n has the form X(e j ) 1 A 1 cos A 2 cos 2 , Where A 1 and A 2 are some unknown constants Condition 2 The sequence x n n 3 evaluated at n 2 is 5 Condition 3 For the three point seque...

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Determine a sequence x[n] that satisfies all of the following three conditions: Condition 1: The Fourier transform

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Determine a sequence x[n] that satisfies all of the following three conditions: Condition 1: The Fourier transform of x[n] has the form

X(e^j?) = 1 + A₁ cos ? + A₂ cos 2?,

Where A₁ and A₂ are some unknown constants.?

Condition 2: The sequence x[n]*?[n ? 3] evaluated at n = 2 is 5.

Condition 3: For the three-point sequence w[n] shown in Figure, the result of the eight-point circular convolution of w[n] and x[n ? 3] is 11 when n = 2; i.e.,

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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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Determine a sequence x[n] that satisfies all of the following three conditions: Condition 1: The Fourier transform

Question:

Ew[m]x[((n - 3– m))8]| = 11. In=2 m=0 3.

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Discrete Time Signal Processing

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