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

Ming Kang*, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Two-dimensional (2-D) RAKE (2D-RAKE) receivers process signals in both time and space to improve the performance of code-division multiple-access (CDMA) systems. In this correspondence, we establish the connection between the 2D-RAKE signal-to-interference-ratio (SIR) output statistics and the generalized Hotelling's T02 (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.

Original languageEnglish (US)
Pages (from-to)317-323
Number of pages7
JournalIEEE Transactions on Information Theory
Issue number1
StatePublished - Jan 2003
Externally publishedYes


  • 2D-RAKE receivers
  • Hotelling's distribution
  • Interference suppression
  • Optimum combining
  • Outage probability
  • Smart/adaptive antennas

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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