We investigate the problem of minimizing the total power consumption under the\nconstraint of the signal-to-noise ratio (SNR) requirement for the physical layer multicasting system\nwith large-scale antenna arrays. In contrast with existing work, we explicitly consider both the\ntransmit power and the circuit power scaling with the number of antennas. The joint antenna\nselection and beamforming technique is proposed to minimize the total power consumption.\nThe problem is a challenging one, which aims to minimize the linear combination of 0-norm\nand 2-norm. To our best knowledge, this minimization problem has not yet been well solved.\nA random de cremental antenna selection algorithm is designed, which is further modified by\nan approximation of the minimal transmit power based on the asymptotic orthogonality of the\nchannels. Then, a more efficient de cremental antenna selection algorithm is proposed based on\nminimizing the 0 norm. Performance results show that the 0 norm minimization algorithm greatly\noutperforms the random selection algorithm in terms of the total power consumption and the\naverage run time.
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