Transmit Designs for the MIMO Broadcast Channel with Statistical CSI
Abstract
We investigate the multiple-input multiple-output broadcast channel with statistical channel state information available at the transmitter. The so-called linear assignment operation is employed, and necessary conditions are derived for the optimal transmit design under general fading conditions. Based on this, we introduce an iterative algorithm to maximize the linear assignment weighted sum-rate by applying a gradient descent method. To reduce complexity, we derive an upper bound of the linear assignment achievable rate of each receiver, from which a simplified closed-form expression for a near-optimal linear assignment matrix is derived. This reveals an interesting construction analogous to that of dirty-paper coding. In light of this, a low complexity transmission scheme is provided. Numerical examples illustrate the significant performance of the proposed low complexity scheme.
Cite
@article{arxiv.1406.7623,
title = {Transmit Designs for the MIMO Broadcast Channel with Statistical CSI},
author = {Yongpeng Wu and Shi Jin and Xiqi Gao and Matthew R. McKay and Chengshan Xiao},
journal= {arXiv preprint arXiv:1406.7623},
year = {2015}
}
Comments
Accepted for IEEE Transaction on Signal Processing