Upper and Lower Bounds for the Ergodic Capacity of MIMO Jacobi Fading Channels

Autor:	Nafkha, Amor, Bonnefoi, Remi
Rok vydání:	2017
Předmět:	Computer Science - Information Theory
Druh dokumentu:	Working Paper
DOI:	10.1364/OE.25.012144
Popis:	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. Comment: 4 pages, 6 figures, submitted to the IEEE Photonics Technology Letters
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.08258 Zobrazit plný text záznamu View this record from Arxiv