On optimized memoryless relaying functions for the two-way relay channel

The separated restricted two-way relay channel (TWRC) has two sources that are outside of radio range and must communicate with the help of a relay. The relay is limited to perform memoryless operations on its received symbols to compute its channel input. Relay functions optimizing the achievable sum rate for both sources are investigated for binary antipodal signaling and pulse amplitude modulation (PAM). The results are compared to the performance of Amplify & Forward (AF), Estimate & Forward (EF) and Detect & Forward (DF).