Which of the following signals can be down sampled by a factor of 2 using the system in Figure without any loss of information (a) x n n n 0 , for n 0 some unknown integer (b) x n cos( n 4) (c) x n cos( n 4) cos(3 n 4) (d) x n sin( n 3) ( n 3) (e) x n ( 1) n sin( n 3) ( n 3) xn x nM x n Sampling pe...

Which of the following signals can be down sampled by a factor of 2 using the system

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Which of the following signals can be down sampled by a factor of 2 using the system in Figure without any loss of information?

(a) x[n] = ?[n ? n₀], for n₀ some unknown integer?

(b) x[n] = cos(? n/4)

(d) x[n] = sin(? n/3) / (? n/3)?

(e) x[n] = (?1)ⁿ sin(? n/3) / (? n/3)

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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 02:56 AM

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Which of the following signals can be down sampled by a factor of 2 using the system

Question:

xn| = x[nM] x{n] Sampling period I Sampling period T= MT

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Discrete Time Signal Processing

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