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Entropy 2017, 19(8), 409; doi:10.3390/e19080409

A View of Information-Estimation Relations in Gaussian Networks

1
Department of Electrical Engineering, Princeton University, Princeton, NJ 08544, USA
2
Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
*
Authors to whom correspondence should be addressed.
Received: 31 May 2017 / Revised: 31 July 2017 / Accepted: 1 August 2017 / Published: 9 August 2017
(This article belongs to the Special Issue Network Information Theory)
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Abstract

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. View Full-Text
Keywords: network information theory; estimation theory; I-MMSE network information theory; estimation theory; I-MMSE
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Dytso, A.; Bustin, R.; Poor, H.V.; Shamai (Shitz), S. A View of Information-Estimation Relations in Gaussian Networks. Entropy 2017, 19, 409.

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