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  • Research Article
  • Open Access

Asymptotic Analysis in MIMO MRT/MRC Systems

EURASIP Journal on Wireless Communications and Networking20062006:045831

  • Received: 11 January 2006
  • Accepted: 16 August 2006
  • Published:


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.


  • Probability Density Function
  • Diversity System
  • Asymptotic Analysis
  • Good Insight
  • Error Performance


Authors’ Affiliations

Department of Electrical and Computer Engineering, NC State University, Raleigh, NC 27695-7511, USA


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© Q. Zhou and H. Dai. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.