Hotelling's generalized distribution and performance of 2D-RAKE receivers

  • Authors:

  • Ming Kang;M. -S. Alouini

  • Affiliations:

  • Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2003

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Abstract

Two-dimensional (2D) RAKE (2D-RAKE) receivers process signals in both time and space to improve the performance of code-division multiple-access (CDMA) systems. We establish the connection between the 2D-RAKE signal-to-interference-ratio (SIR) output statistics and the generalized Hotelling's (1947, 1951, 1931) T20 (in the complex case) distribution. We study this distribution and offer new simple explicit closed-form expressions (in terms of hypergeometric functions) for its probability density function (PDF) and cumulative distribution function (CDF). Based on that, we derive the outage probability of dual-branch 2D-RAKE receivers over Rayleigh-fading channels. Some numerical examples for particular cases of interests are plotted and discussed.