Question: A continuous random variable X is constrained to a peak magnitude M that is ? M (a) Show that the differential entropy of X is

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.

S1/2M, lo, -M

S1/2M, lo, -M

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