A continuous random variable X is constrained to a peak magnitude M that is ? M (a)

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A continuous random variable X is constrained to a peak magnitude M that is ? M

(a) Show that the differential entropy of X is maximum when it is uniformly distributed, as shown by

(b) Show that the maximum differential entropy of X is log₂ 2M.

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Communication Systems

ISBN: 978-0471178699

4th Edition

Authors: Simon Haykin

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Question Posted: Feb 10, 2011 05:05 AM

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A continuous random variable X is constrained to a peak magnitude M that is ? M (a)

Question:

S1/2M, lo, -M

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a The differential entropy of a random variable X is hX fxx log2 fxxdx Th...View the full answer

Communication Systems

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