A simple proof of the entropy-power inequality

Authors:
S. Verdu;D. Guo
Affiliations:
Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA;-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

This correspondence gives a simple proof of Shannon's entropy-power inequality (EPI) using the relationship between mutual information and minimum mean-square error (MMSE) in Gaussian channels.