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In this paper, we consider the problem of joint antenna selection and analogbeamformer design in downlink single-group multicast networks. Our objective isto reduce the hardware costs by minimizing the number of required phaseshifters at the transmitter while fulfilling given distortion limits at thereceivers. We formulate the problem as an L0 minimization problem and devise anovel branch-and-cut based algorithm to solve the resulting mixed-integernonlinear program to optimality. We also propose a suboptimal heuristicalgorithm to solve the above problem approximately with a low computationalcomplexity. Computational results illustrate that the solutions produced by theproposed heuristic algorithm are optimal in most cases. The results alsoindicate that the performance of the optimal methods can be significantlyimproved by initializing with the result of the suboptimal method.

Joint Antenna Selection and Phase-Only Beamforming Using Mixed-Integer Nonlinear Programming