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The Gaussian isoperimetric inequality and decoding error probabilities for the Gaussian channel

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2 Author(s)
J. -P. Tillich ; INRIA, France ; G. Zemor

This paper derives an upper bound on the probability of a decoding error after maximum likelihood decoding for the additive white Gaussian noise (AWGN) channel. The bound involves only two basic code parameters : the minimum Euclidean distance D and the critical noise value. For this purpose we bring in a new tool, namely the Gaussian isoperimetric inequality, which does not seem to have ever been used in this context before.

Published in:

Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on

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