Sensitivity of Channel Capacity

Mark S. Pinsker, Vyacheslav V. Prelov, Sergio Verdú

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

In some channels subject to crosstalk or other types of additive interference, the noise is the sum of a dominant Gaussian noise and a relatively weak non-Gaussian contaminating noise. Although the capacity of such channels cannot be evaluated in general, we analyze the decrease in capacity, or sensitivity of the channel capacity to the weak contaminating noise. The main result of this paper is that for a very large class of contaminating noise processes, explicit expressions for the sensitivity of a discrete-time channel capacity do exist. Moreover, in those cases the sensitivity depends on the contaminating process distribution only through its autocorrelation function and so it coincides with the sensitivity with respect to a Gaussian contaminating noise with the same autocorrelation function.

Original languageEnglish (US)
Pages (from-to)1877-1888
Number of pages12
JournalIEEE Transactions on Information Theory
Volume41
Issue number6
DOIs
StatePublished - Nov 1995

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Keywords

  • Non-Gaussian channels
  • channel capacity
  • channels with memory
  • entropy-singular process
  • regular process
  • water-filling formula

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  • Cite this

    Pinsker, M. S., Prelov, V. V., & Verdú, S. (1995). Sensitivity of Channel Capacity. IEEE Transactions on Information Theory, 41(6), 1877-1888. https://doi.org/10.1109/18.476313