Joint Beamforming and Power Control in Coordinated Multicell: Max-Min Duality, Effective Network and Large System Transition

摘要

This paper studies joint beamforming and power control in a coordinatedmulticell downlink system that serves multiple users per cell to maximize theminimum weighted signal-to-interference-plus-noise ratio. The optimal solutionand distributed algorithm with geometrically fast convergence rate are derivedby employing the nonlinear Perron-Frobenius theory and the multicell networkduality. The iterative algorithm, though operating in a distributed manner,still requires instantaneous power update within the coordinated clusterthrough the backhaul. The backhaul information exchange and message passing maybecome prohibitive with increasing number of transmit antennas and increasingnumber of users. In order to derive asymptotically optimal solution, randommatrix theory is leveraged to design a distributed algorithm that only requiresstatistical information. The advantage of our approach is that there is noinstantaneous power update through backhaul. Moreover, by using nonlinearPerron-Frobenius theory and random matrix theory, an effective primal networkand an effective dual network are proposed to characterize and interpret theasymptotic solution.