Upper and Lower Bounds for the Ergodic Capacity of MIMO Jacobi Fading Channels
Abstract
In multi-(core/mode) optical fiber communication, the transmission channel can be modeled as a complex sub-matrix of the Haar-distributed unitary matrix (complex Jacobi unitary ensemble). In this letter, we present new analytical expressions of the upper and lower bounds for the ergodic capacity of multiple-input multiple-output Jacobi-fading channels. Recent results on the determinant of the Jacobi unitary ensemble are employed to derive a tight lower bound on the ergodic capacity. We use Jensen's inequality to provide an analytical closed-form upper bound to the ergodic capacity at any signal-to-noise ratio (SNR). Closed-form expressions of the ergodic capacity, at low and high SNR regimes, are also derived. Simulation results are presented to validate the accuracy of the derived expressions.
Keywords
Cite
@article{arxiv.1702.08258,
title = {Upper and Lower Bounds for the Ergodic Capacity of MIMO Jacobi Fading Channels},
author = {Amor Nafkha and Remi Bonnefoi},
journal= {arXiv preprint arXiv:1702.08258},
year = {2017}
}
Comments
4 pages, 6 figures, submitted to the IEEE Photonics Technology Letters