Capacity and Decoding Rules for the Poisson Arbitrarily Varying Channel

Shraga I. Bross, Shlomo Shamai

Research output: Contribution to journalArticlepeer-review


The single-user and two-user (multiple-access) Poisson arbitrarily varying channel (AVC) with input and state (peak and average-power) constraints, but unlimited in bandwidth, are considered. For both cases, the deterministic and random code capacity with the average probability of error criterion is obtained. In the single-user case, Wyner's decoder attains the deterministic-code capacity whereas for the two-user case, a "nearest neighbor" decoder that belongs to the class of β-decoders introduced in [8] is shown to attain the deterministic-code capacity region as claimed.

Original languageEnglish
Pages (from-to)3076-3093
Number of pages18
JournalIEEE Transactions on Information Theory
Issue number11
StatePublished - Nov 2003
Externally publishedYes


  • Arbitrarily varying channel (AVC)
  • Deterministic-code capacity
  • Poisson channels


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