Title :
An information - theoretic proof of Hadamard´s inequality (Corresp.)
Author :
Cover, Thomas M. ; Gamal, Abbas El
fDate :
11/1/1983 12:00:00 AM
Abstract :
Hadamard\´s inequality follows immediately from inspection of both sides of the entropy inequality

, when

is multivariate normal.
Keywords :
Determinants; Entropy; Hadamard matrices; Digital communication; Encoding; Entropy; Information theory; Inspection; Linear matrix inequalities; Rate distortion theory; Reliability theory; Symmetric matrices; Viterbi algorithm;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1983.1056751