Asymptotic analysis in MIMO MRT/MRC systems

Abstract

Through the analysis of the probability density function of the squared largestsingular value of a complex Gaussian matrix at the origin and tail, we obtain two asymptoticresults related to the multi-input multi-output (MIMO) maximum-ratio-transmission/maximum-ratio-combining (MRT/MRC) systems. One is the asymptotic error performance (in terms of SNR) in a single-user system, and the other is the asymptotic system capacity (in terms of thenumber of users) in the multiuser scenario when multiuser diversity is exploited. Similar resultsare also obtained for two other MIMO diversity schemes, space-time block coding and selectioncombining. Our results reveal a simple connection with system parameters, providing goodinsights for the design of MIMO diversity systems.