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A multiple-antenna amplify-and-forward two-hop interference network withmultiple links and multiple relays is considered. We optimize transmitprecoders, receive decoders and relay AF matrices to maximize the achievablesum rate. Under per user and total relay sum power constraints, we propose anefficient algorithm to maximize the total signal to total interference plusnoise ratio (TSTINR). Computational complexity analysis shows that our proposedalgorithm for TSTINR has lower complexity than the existing weighted minimummean square error (WMMSE) algorithm. We analyze and confirm by simulations thatthe TSTINR, WMMSE and the total leakage interference plus noise (TLIN)minimization models with per user and total relay sum power constraints canonly transmit a single data stream for each user. Thus we propose a novelmultiple stream TSTINR model with requirement of orthogonal columns forprecoders, in order to support multiple data streams and thus utilize higherDegrees of Freedom. Multiple data streams and larger multiplexing gains areguaranteed. Simulation results show that for single stream models, our TSTINRalgorithm outperforms the TLIN algorithm generally and outperforms WMMSE inmedium to high Signal-to-Noise-Ratio scenarios; the system sum ratesignificantly benefits from multiple data streams in medium to high SNRscenarios.

Low complexity sum rate maximization for single and multiple stream MIMO AF relay networks