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.
['Damith Senaratne', 'Chintha Tellambura']
Performance Analysis of Channel Inversion over MIMO Channels