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.
- Arbitrarily varying channel
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences