On The Capacity of Gaussian MIMO Channels Under The Joint Power Constraints
Information Theory
2018-09-05 v1 math.IT
Abstract
The capacity and optimal signaling over a fixed Gaussian MIMO channel are considered under the joint total and per-antenna power constraints (TPC and PAC). While the general case remains an open problem, a closed-form full-rank solution is obtained along with its sufficient and necessary conditions. The conditions for each constraint to be inactive are established. The high and low-SNR regimes are studied. Isotropic signaling is shown to be optimal in the former case while rank-1 signaling (beamforming) is not necessarily optimal in the latter case. Unusual properties of optimal covariance under the joint constraints are pointed out.
Keywords
Cite
@article{arxiv.1809.00056,
title = {On The Capacity of Gaussian MIMO Channels Under The Joint Power Constraints},
author = {Sergey Loyka},
journal= {arXiv preprint arXiv:1809.00056},
year = {2018}
}
Comments
accepted for publication