Joint Network and Dirty-Paper Coding for Multi-way Relay Networks with Pairwise Information Exchange

In this paper we study two-stage decode-andforward coding schemes for relaying with multi-pair information exchange. A joint network and dirty-paper coding (JNDPC) scheme is proposed to serve as a basic element for coding in the broadcast stage. The JNDPC scheme embeds network coding into dirty-paper coding, which allows interference cancelation while fully utilizing the user side information. By using JNDPC, we propose a novel successive network coding (SNC) scheme where the interference to each pair of users are canceled simultaneously. The SNC scheme consists of two layers. The first layer consists of JNDPC to cancel interference at the encoder. In the second layer, JNDPC is sequentially organized to facilitate successive decoding at the decoders. The SNC scheme has a fixed decoding order and hence suffers a rate loss for users. With JNDPC, we then propose a rate-splitting SNC scheme which, together with SNC, outperform the state of the art schemes. For the multiple access stage, a full decode multiple access scheme and a functional decode multiple access scheme are presented. The achievable regions of all proposed broadcast and multiple stage coding schemes are established.