NDLI: Mutual information and conditional mean estimation in Poisson channels

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Mutual information and conditional mean estimation in Poisson channels

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Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674)

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Mutual information and conditional mean estimation in Poisson channels

Content Provider	IEEE Xplore Digital Library
Author	Dongning Guo Verdu, S. Shamai, S.
Copyright Year	2004
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Northwestern Univ., Evanston, IL, USA (Dongning Guo)
Abstract	Following the recent discovery of new connections between information and estimation in Gaussian channels, this paper reports parallel results in the Poisson regime. Both scalar and continuous-time Poisson channels are considered. It is found that, regardless of the statistics of the input, the derivative of the input-output mutual information with respect to the dark current can be expressed in the expected difference between the logarithm of the input and the logarithm of its conditional mean estimate (noncausal in case of continuous-time). The same is true for the derivative with respect to input scaling, but with the logarithmic function replaced by x log x.
Starting Page	265
Ending Page	270
File Size	424288
Page Count	6
File Format	PDF
ISBN	0780387201
DOI	10.1109/ITW.2004.1405312
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-10-24
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mutual information Gaussian channels Signal detection Entropy Dark current Statistics Random variables Communication systems Tiles Matched filters
Content Type	Text
Resource Type	Article

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