Global sum rate optimal resource allocation for non-regenerative 3-way relay channels
Bho Matthiesen, Eduard Axel Jorswieck · 2017
Throughput in 3-way relay channels is studied in this paper. We focus on Gaussian channels, amplify-and-forward relaying, and treating interference as noise at the receivers. Unlike other contributions, we consider multiple unicast transmissions. First, we provide the achievable rate region. Then, we design two algorithms for joint power allocation at all terminals so as to maximize the system throughput. One algorithm has guaranteed convergence to the global optimal solution, while the other exhibits very low complexity. Numerical simulations evaluate the performance of both algorithms by means of a mmWave wireless board-to-board communication system. The results show that both algorithms converge to the same solution but with very different convergence speed. On average, obtaining the global optimal solution requires approximately 1,500x the iterations of the low complexity solution. Thus, we can either obtain a certificate of global optimality at the price of slow convergence or attain a stationary point that is most likely globally optimal within a few iterations.