Hybrid precoding and combining for frequency-selective mmWave MIMO Systems with per-antenna power constraints

Configuring hybrid precoders and combiners is a major source of difficulty that needs to be overcome to obtain high quality links enabling communication at large data rates. Hybrid architectures impose additional hardware constraints on the analog precoder that depend on the specific design of the analog network. In this paper, we analyze the problem of developing hybrid precoders and combiners maximizing the spectral efficiency under per-antenna power constraints. More especifically, we propose an all-digital design based on a relaxation of the original problem, and also propose another all-digital design that sets an upper bound on the maximum achievable data rate. Thereafter, we design hybrid precoders and combiners that minimize the Chordal distance with respect to the all-digital solution.