Joint power allocation, base station assignment and beamformer design for an uplink SIMO heterogeneous network

Consider the max-min problem for an uplink SIMO heterogeneous network, where the base stations (BS) are coordinated dynamically for joint reception under some backhaul overhead constraints. We formulate this problem in the perspective of joint power allocation, BS assignment and beamformer design, and develop an efficient algorithm based on alternating optimization. In particular, we transfer the joint BS assignment and beamformer design subproblem into a group LASSO problem by applying the alternating direction method of multipliers (ADMM). Consequently, the problem is solved in a partially distributed manner and in each iteration a simple closed-form solution is derived. Numerical simulations demonstrate the effectiveness and efficiency of the proposed algorithm.