Multiple Access Channels with States Causally Known at Transmitters

Computer Science – Information Theory

Scientific paper

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Submitted to IEEE Transactions on Information Theory

Scientific paper

The state-dependent multiple access channel (MAC) is considered where the state sequences are known causally to the encoders. First, a MAC with two independent states each known causally to one encoder is revisited, and a new achievable scheme inspired by the recently proposed noisy network coding is presented. This scheme is shown to achieve a rate region that is potentially larger than that provided by recent work for the same model. Next, capacity results are presented for a class of channels that include modulo-additive state-dependent MACs. It is shown that the proposed scheme can be easily extended to an arbitrary number of users. Next, a similar scheme is proposed for a MAC with common state known causally to all encoders. The corresponding achievable rate region is shown to reduce to the one given in the previous work as a special case for two users. Finally, output feedback is introduced in the model at hand with independent states and an example is provided to show the advantage of feedback in enlarging the capacity region.

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