Primal decomposition based decentralized weighted sum rate maximization with QoS constraints for interfering broadcast channel

We propose a decentralized beamforming design for weighted sum rate maximization with quality-of-service constraints based on primal decomposition of the corresponding centralized problem. The considered system consists of multiple coordinated multi-antenna base stations (BS) serving multiple users each with multiple receive antennas. The considered rate maximization problem is known to be NP-hard and as such intractable in practice. The problem is separated into downlink receive beamformer and transmit precoder design problems. The transmit precoder design problem is further decoupled between the interfering base stations by primal decomposition with respect to the caused inter-cell interference per BS. Particular emphasis is given to signaling requirements and rate of convergence.