Interference Channels with Correlated Receiver Side Information

TL;DR

This paper investigates joint source-channel coding over interference channels with correlated receiver side information, establishing optimality of source-channel separation in certain cases and providing conditions for reliable transmission.

Contribution

It introduces new coding schemes and conditions for interference channels with correlated side information, extending existing theories and solving specific cases.

Findings

Source-channel separation is optimal with side information correlated with desired sources.

Sufficient conditions for reliable transmission are derived using superposition encoding.

Capacity region for certain Z-channels with degraded message sets is characterized.

Abstract

The problem of joint source-channel coding in transmitting independent sources over interference channels with correlated receiver side information is studied. When each receiver has side information correlated with its own desired source, it is shown that source-channel code separation is optimal. When each receiver has side information correlated with the interfering source, sufficient conditions for reliable transmission are provided based on a joint source-channel coding scheme using the superposition encoding and partial decoding idea of Han and Kobayashi. When the receiver side information is a deterministic function of the interfering source, source-channel code separation is again shown to be optimal. As a special case, for a class of Z-interference channels, when the side information of the receiver facing interference is a deterministic function of the interfering source, necessary and sufficient conditions for reliable transmission are provided in the form of single letter expressions. As a byproduct of these joint source-channel coding results, the capacity region of a class of Z-channels with degraded message sets is also provided.