Performance analysis of channel inversion over MIMO channels

Authors:
Damith Senaratne;Chintha Tellambura
Affiliations:
University of Alberta, Edmonton, AB, Canada;University of Alberta, Edmonton, AB, Canada
Venue:
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Year:
2009

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Abstract

The distribution of the received signal power Λ of a multiple-input multiple-output system, with the associated 2 × 2 complex Wishart matrix having n degrees of freedom, is investigated under the channel inversion power allocation scheme. Exact closed-form expressions are derived for the probability density function and the cumulative distribution function of Λ. The analysis covers systems with transmit-receive antennas {Nt, Nr| min(Nt, Nr) = 2, max(Nt, Nr) ≥ 2}, and independent and identically distributed Rayleigh fading links between each antenna pair. We derive (i) the distribution of Shannon capacity of the multiple-input multiple-output channel (ii) average symbol error rate for a class of modulation schemes that includes Binary Phase Shift Keying.