Abstract
Two-dimensional (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 T/sub 0//sup 2/ (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. As a double check these analytical results are validated by Monte-Carlo simulations and some numerical examples, for particular cases of interest, are plotted and discussed.