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arXiv · 1702.08258

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

Amor Nafkha·Remi Bonnefoi
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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.

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Amor Nafkha, Remi Bonnefoi. 2017-02-27. Upper and Lower Bounds for the Ergodic Capacity of MIMO Jacobi Fading Channels. https://doi.org/10.1364/oe.25.012144

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