Asymptotic Analysis of Max-Min SINR in Downlink MISO System with Multi-Weighted Power Constraints

Shasha Liu, Abla Kammoun, Hayssam Dahrouj, Mohamed-Slim Alouini

Abstract: This work focuses on the downlink of a single-cell multi-user system in which a base station (BS) equipped with M antennas communicates with K single-antenna users. We consider the low-complexity design of the optimal linear precoder (OLP) that maximizes the minimum signal-to-interference-plus-noise ratio (SINR) while ensuring multi-weighted power constraints. To this end, we consider the asymptotic regime in which M and K grow large with a given ratio. Tools of random matrix theory (RMT) are used to compute, in explicit form, deterministic approximations for the parameters of the OLP and the optimal powers. The derived approximations are instrumental for getting further insight into the structure of the optimal precoders, predicting the active weighted power constraint, and reducing the implementation complexity in large-scale networks. Numerical results are used to validate the asymptotic analysis in the finite system regime and investigate the impact of weighted power constraints on the system energy efficiency (EE).

External IDs:dblp:conf/ccece/LiuKDA24