INFORMATION RATES AND ERROR EXPONENTS OF COMPOUND CHANNELS WITH APPLICATION TO ANTIPODAL SIGNALING IN A FADING ENVIRONMENT

A compound channel is characterized by a set of permissible transition probabilities (which depend on the state of the channel). We focus on a class of compound channels for which the state sequence has a stoch astic characterization and with mismatched decoding. Three levels of r eceiver side information on the state sequence are addressed, namely k nown state, known statistics, and mismatch. First, we develop some new relations of error exponents and achievable rates in this general con text, and for completeness, review relevant known results. We then app ly some of these general results to the specific case of binary PSK mo dulation operating in a fading channel with ideal interleaving under t he above-mentioned different levels of side information. We address tw o variants of the Rician model, as well as the Nakagami-m model, and c ompare their similarities and differences.