Large SNR analysis of diversity schemes on Rayleigh channels with arbitrary correlation

  • Authors:
  • Shuo Liu;Julian Cheng;Norman C. Beaulieu

  • Affiliations:
  • Dept. of ECE, Univ. of Alberta, Edmonton, AB, Canada;School of Engineering, UBC Okanagan, Kelowna, BC, Canada;Dept. of ECE, Univ. of Alberta, Edmonton, AB, Canada

  • Venue:
  • ICC'09 Proceedings of the 2009 IEEE international conference on Communications
  • Year:
  • 2009

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Abstract

Asymptotic error rate expressions are derived for multi-branch equal gain combining and selection combining operating on arbitrarily correlated Rayleigh fading channels. These closed-form solutions are used to provide rapid and accurate estimation of the error rates in large signal-to-noise ratio regions. More importantly, it is shown that the asymptotic error rates over correlated branches can be obtained by scaling the asymptotic error rates over independent branches with a factor, det(M), where det(M) is the determinant of the normalized channel correlation matrix.