Hybrid Precoding for Millimeter Wave MIMO: Trace Optimization Approach

The hybrid precoding problem in point-to-point millimeter wave (mmWave) multiple input output (MIMO) for narrowband channel is established as a Frobenius norm minimization problem. It translated into trace problem, and two algorithms are proposed to solve it. In the first method based on alternating minimization, we alternately determine analog precoder digital precoder, keeping other constant minimize trace. subproblem with fixed converted semi-definite programming (SDP) solved by block coordinate descent (BCD) algorithm suitable modifications. second method, segregate subproblems considering orthogonality of precoder. further rephrased maximization an iterative power enforcing constraint adapted form modified Gramm-Schmidt orthogonalization procedure employed impose methods extended wideband orthogonal frequency division multiplexing (OFDM). not only exhibit good performance but also come lower computational complexity when compared existing comparable performances.