Derivative of mutual information at zero SNR: The gaussian-noise case

Yihong Wu; Dongning Guo; Sergio Verdú

doi:10.1109/TIT.2011.2161752

Derivative of mutual information at zero SNR: The gaussian-noise case

Yihong Wu^*, Dongning Guo, Sergio Verdú

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Assuming additive Gaussian noise, a general sufficient condition on the input distribution is established to guarantee that the ratio of mutual information to signal-to-noise ratio (SNR) goes to one half nat as SNR vanishes. The result allows SNR-dependent input distribution and side information.

Original language	English (US)
Article number	5953516
Pages (from-to)	7307-7312
Number of pages	6
Journal	IEEE Transactions on Information Theory
Volume	57
Issue number	11
DOIs	https://doi.org/10.1109/TIT.2011.2161752
State	Published - Nov 1 2011

Keywords

Gaussian noise
low-power regime
minimum mean-square error (MMSE)
mutual information
signal-to-noise ratio (SNR)

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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title = "Derivative of mutual information at zero SNR: The gaussian-noise case",

abstract = "Assuming additive Gaussian noise, a general sufficient condition on the input distribution is established to guarantee that the ratio of mutual information to signal-to-noise ratio (SNR) goes to one half nat as SNR vanishes. The result allows SNR-dependent input distribution and side information.",

keywords = "Gaussian noise, low-power regime, minimum mean-square error (MMSE), mutual information, signal-to-noise ratio (SNR)",

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T1 - Derivative of mutual information at zero SNR

T2 - The gaussian-noise case

AU - Wu, Yihong

AU - Guo, Dongning

AU - Verdú, Sergio

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Y1 - 2011/11/1

N2 - Assuming additive Gaussian noise, a general sufficient condition on the input distribution is established to guarantee that the ratio of mutual information to signal-to-noise ratio (SNR) goes to one half nat as SNR vanishes. The result allows SNR-dependent input distribution and side information.

AB - Assuming additive Gaussian noise, a general sufficient condition on the input distribution is established to guarantee that the ratio of mutual information to signal-to-noise ratio (SNR) goes to one half nat as SNR vanishes. The result allows SNR-dependent input distribution and side information.

KW - Gaussian noise

KW - low-power regime

KW - minimum mean-square error (MMSE)

KW - mutual information

KW - signal-to-noise ratio (SNR)

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Derivative of mutual information at zero SNR: The gaussian-noise case

Abstract

Keywords

ASJC Scopus subject areas

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