Capacity of the Gaussian arbitrarily varying channel

Imre Csiszar, Prakash Narayan

Research output: Paper

1 Citation (Scopus)

Abstract

Summary form only given, as follows. The Gaussian arbitrarily varying channel with input constraint Γ and state constraint Λ admits input sequences x = (x1, ..., xn) of real numbers with 1/n Σxi2 ≤ Γ and state sequences s = (s1, ..., sn) of real numbers with 1/n Σsi2 ≤ Λ, the output sequence being x + s + V where V = (V1, ..., Vn) is a sequence of independent and identically distributed Gaussian random variables with mean 0 and variance σ2. It is proved that the capacity of this arbitrarily varying channel for deterministic codes and the average probability-of-error criterion equals log[1 + Γ/(Λ + σ2)]/2 if Λ < Γ and is 0 otherwise.

Original languageEnglish
Number of pages1
Publication statusPublished - dec. 1 1990
Event1990 IEEE International Symposium on Information Theory - San Diego, CA, USA
Duration: jan. 14 1990jan. 19 1990

Other

Other1990 IEEE International Symposium on Information Theory
CitySan Diego, CA, USA
Period1/14/901/19/90

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ASJC Scopus subject areas

  • Engineering(all)

Cite this

Csiszar, I., & Narayan, P. (1990). Capacity of the Gaussian arbitrarily varying channel. Paper presented at 1990 IEEE International Symposium on Information Theory, San Diego, CA, USA, .