Joint Precoder and Combiner Design for MMSE Distributed Beamforming with Per-Antenna Power Constraints
Abstract
We consider minimum mean square error (MMSE) joint precoder and combiner design for single and multi carrier distributed beamforming systems with nonuniform per-antenna transmit power constraints. We show that, similar to the maximum-gain problem, an iterative Gauss-Seidel algorithm can be used for minimizing MSE which alternately optimizes the transmitter and receiver coefficients. In a single carrier system the optimum transmit coefficients are obtained by a simple projection of the effective MISO channel. In the multicarrier case with a sum-MSE objective, the Gauss-Seidel approach is once again applicable, but the transmit coefficients must be found by solving a quadratically constrained quadratic problem for which we apply a dual gradient algorithm. A numerical example is presented which shows improvement of 0.7 dB in carrier signal-to-noise ratio (SNR) relative to a projected eigenvector method for a multicarrier DBF system with Rayleigh-faded multipath channels.
Cite
@article{arxiv.1905.00550,
title = {Joint Precoder and Combiner Design for MMSE Distributed Beamforming with Per-Antenna Power Constraints},
author = {Riten Gupta and Han Yan and Danijela Cabric},
journal= {arXiv preprint arXiv:1905.00550},
year = {2019}
}