Title :
A simple proof of the entropy-power inequality
Author :
Verdu, Sergio ; Guo, Di
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
fDate :
5/1/2006 12:00:00 AM
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.
Keywords :
Gaussian channels; entropy; information theory; least mean squares methods; Gaussian channel; MMSE; Shannons EPI; entropy-power inequality; minimum mean-square error; mutual information; Additive noise; Entropy; Gaussian channels; Gaussian noise; Gaussian processes; Mutual information; Probability density function; Random variables; Signal to noise ratio; Vectors; Differential entropy; entropy-power inequality (EPI); minimum mean-square error (MMSE);
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.872978
