Capacity of the Gaussian Arbitrarily Varying Channel

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Abstract

The Gaussian arbitrarily varying channel with input constraint T and state constraint A admits input sequences x = (x1-,…, xn) of real numbers with Ex; < nt and state sequences s = (s1,…, sn) of real numbers with Esi < n A; the output sequence x + s + V, where V = (V1,…, Vn) is a sequence of independent and identically distributed Gaussian random variables with mean 0 and variance a2. It is proved that the capacity of this arbitrarily varying channel for deterministic codes and the average probability of error criterion equals 1/2log(l + T/(A + a2)) if A < T and is 0 otherwise.

Original languageEnglish
Pages (from-to)18-26
Number of pages9
JournalIEEE Transactions on Information Theory
Volume37
Issue number1
DOIs
Publication statusPublished - Jan 1991

Keywords

  • Arbitrarily varying channel
  • Gaussian
  • capacity

ASJC Scopus subject areas

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

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