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Article Dans Une Revue Optics Express Année : 2017

Upper and lower bounds for the ergodic capacity of MIMO Jacobi fading channels

Résumé

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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Dates et versions

hal-01523024 , version 1 (18-05-2017)

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Amor Nafkha, Rémi Bonnefoi. Upper and lower bounds for the ergodic capacity of MIMO Jacobi fading channels. Optics Express, 2017, 25 (11), pp.12144-12151. ⟨10.1364/OE.25.012144⟩. ⟨hal-01523024⟩
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