Abstract
Let (S 1,i , S 2,i ) ∼ i.i.d p(s 1 , s 2 ), i = 1, 2, … be a memoryless correlated partial side information sequence. In this work we study channel coding and source coding problems, where the encoder is informed with the encoder's side information (ESI, S 1 ) and the decoder is informed with the decoder's side information (DSI, S 2 ), and additionally, either the encoder or the decoder is also informed with a version of the other's side information with a rate limited to R s . We derive six special cases of channel coding and source coding problems and we provide a single-letter characterization for the capacity or the rate distortion function for the different cases. We then present a duality between the channel capacity and the rate distortion for the cases we study.
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