A lattice Compress-and-Forward strategy for canceling known interference in Gaussian multi-hop channels

We present a nested-lattice encoding and decoding strategy for Compress-and-Forward (CF) relaying. This complements previous work on a nested-lattice encoding and decoding scheme for Decode-and-Forward (DF) relaying, and provides an alternative to random codes for CF relaying which may be a useful coding strategy for larger networks. The proposed nested-lattice CF schemes utility is demonstrated by using it to cancel interference in a two-hop Gaussian network with a source, a relay and a destination, in which additive interference experienced at the relay and known at the destination (but not the source). The proposed scheme achieves the same rate as a CF scheme without interference, and to within 1/2 bit from the “clean” channel outer bound. We further illustrate this schemes power by discussing extensions to multi-hop networks in which one or more interference terms are known by receivers “down-the-line.”