Capacity and decoding rules for the Poisson arbitrarily varying channel

The single-user and two-user (multiple-access) Poisson arbitrarily varying channels with input and state (peak and average-power) constraints, but otherwise 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 (1988) decoder attains the deterministic code capacity whereas for the two-user case a "minimum distance" decoder that belongs to the class of /spl beta/-decoders is shown to attain the deterministic-code capacity region as claimed.