Receiver Combining Compute-and-Forward

In this work, we present a generalized compute-and-forward scheme for the single input multiple output (SIMO) channels. The proposed receiver combining compute-and-forward is well-suited to settings where a single receiver is equipped with multiple antennas. We show that combining channel outputs in a specific way makes the effective channel more suitable for decoding successive linear combinations of messages, and thus recover all messages, than using individual channel outputs at each antenna. Furthermore, we provide empirical optimality of the proposed scheme for the 2-user SIMO MAC channels after showing that points on the boundary of capacity region are achievable by single point decoding without using time sharing or joint decoding.