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

Author

Kang, Ming ; Alouini, Mohamed-Slim

Author_Institution

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

Volume

49

Issue

1

fYear

2003

fDate

1/1/2003 12:00:00 AM

Firstpage

317

Lastpage

323

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.

Keywords

Rayleigh channels; cochannel interference; diversity reception; interference suppression; multipath channels; multiuser channels; probability; radio receivers; statistical analysis; 2D-RAKE receivers; CDF; DS-CDMA systems; Hotelling´s generalized distribution; PDF; Rayleigh-fading channels; SIR output statistics; closed-form expressions; cochannel interference reduction; code-division multiple-access systems; cumulative distribution function; direct-sequence CDMA system; hypergeometric functions; multipath diversity; outage probability; probability density function; signal-to-interference-ratio; space-time signal processing; Adaptive arrays; Antenna arrays; Closed-form solution; Multiaccess communication; Probability density function; RAKE receivers; Rayleigh channels; Receiving antennas; Signal processing; Statistical distributions;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2002.806151

Filename

1159788