Mean field theory of communication
Statistical-physics approach to wireless communications
Graduate School of Informatics, Kyoto University, Sakyo-ku, Kyoto-shi, Kyoto, Japan
Revised: 2 February 2008
Published online: 7 March 2008
We discuss a Gaussian vector channel with random channel matrix, as a mathematical model for various wireless communication systems including multiple-input multiple-output (MIMO) and code-division multiple-access (CDMA) channels, and how statistical-physics approaches can be applied to analyze the Gaussian vector channel. We then present a mean-field description of the Gaussian vector channel in terms of a joint distribution of any single element of originally sent channel input and its estimate via posterior probability, which is a refinement of the “decoupling” result reported by Guo and Verdú for a set of statistically equivalent elements of channel input, the number of which is extensive.
PACS: 89.20.Kk – Engineering / 05.20.-y – Classical statistical mechanics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008