A View of Information-Estimation Relations in Gaussian Networks

Relations between estimation and information measures have received considerable attention from the information theory community. One of the most notable such relationships is the I-MMSE identity of Guo, Shamai and Verdú that connects the mutual information and the minimum mean square error (MMSE)....

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Published inEntropy (Basel, Switzerland) Vol. 19; no. 8; p. 409
Main Authors Dytso, Alex, Bustin, Ronit, Poor, H., Shamai (Shitz), Shlomo
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2017
Subjects
estimation theory
I-MMSE
Information theory
Mean square errors
network information theory
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Summary:Relations between estimation and information measures have received considerable attention from the information theory community. One of the most notable such relationships is the I-MMSE identity of Guo, Shamai and Verdú that connects the mutual information and the minimum mean square error (MMSE). This paper reviews several applications of the I-MMSE relationship to information theoretic problems arising in connection with multi-user channel coding. The goal of this paper is to review the different techniques used on such problems, as well as to emphasize the added-value obtained from the information-estimation point of view.
ISSN:1099-4300
1099-4300
DOI:10.3390/e19080409