Achievable Rate Regions for Compound MultipleAccess Channel with Channel State Information

Abstract

Abstract—We study the two-user discrete memoryless compound <br><br>multiple access channel (MAC) with common message and two <br><br>specially correlated channel states each known non-causally by <br><br>one of the encoders. Two channel states are correlated in the <br><br>sense of Slepian-Wolf (SW) in which two correlated states are <br><br>modeled by three independent states: a common state and two <br><br>private states. By using superposition coding, binning scheme <br><br>and jointly decoding, we propose several achievable rates for <br><br>various cases of the two-user compound MAC with non-causal <br><br>Slepian-Wolf channel states available at encoders and common <br><br>message or conferencing encoders. Also, we show that the obtained achievable rate regions are optimal when perfect states <br><br>are known at both decoders as well.