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Continuity of Mutual Entropy in the Limiting Signal-To-Noise Ratio Regimes

In: Stochastic Analysis 2010

Author

Listed:
  • Mark Kelbert

    (Swansea University, Department of Mathematics
    Russian Academy of Sciences (RAS), International Institute of Earthquake Prediction Theory and Mathematical Geophysics)

  • Yuri Suhov

    (University of Cambridge, Statistical Laboratory, DPMMS
    Russian Academy of Sciences (RAS) 19 Bol’shoi Karetnyi per, Institute for Information Transmission Problems)

Abstract

This article addresses the issue of the proof of the entropy power inequality (EPI), an important tool in the analysis of Gaussian channels of information transmission, proposed by Shannon. We analyse continuity properties of the mutual entropy of the input and output signals in an additive memoryless channel and discuss assumptions under which the entropy-power inequality holds true.

Suggested Citation

  • Mark Kelbert & Yuri Suhov, 2011. "Continuity of Mutual Entropy in the Limiting Signal-To-Noise Ratio Regimes," Springer Books, in: Dan Crisan (ed.), Stochastic Analysis 2010, pages 281-299, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-15358-7_14
    DOI: 10.1007/978-3-642-15358-7_14
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