EURASIP Journal on Wireless Communications and Networking 
Volume 2006 (2006), Article ID 45831, 8 pages
doi:10.1155/WCN/2006/45831

Asymptotic Analysis in MIMO MRT/MRC Systems

Quan Zhou and Huaiyu Dai

 Department of Electrical and Computer Engineering, NC State University, Raleigh 27695-7511, NC, USA
Received 11 January 2006; Revised 20 July 2006; Accepted 16 August 2006

Recommended by Zhiqiang Liu

Abstract

Through the analysis of the probability density function of the squared largest singular value of a complex Gaussian matrix at the origin and tail, we obtain two asymptotic results 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 the number of users) in the multiuser scenario when multiuser diversity is exploited. Similar results are also obtained for two other MIMO diversity schemes, space-time block coding and selection combining. Our results reveal a simple connection with system parameters, providing good insights for the design of MIMO diversity systems.