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

Ming Kang; Mohamed Slim Alouini

doi:10.1109/TIT.2002.806151

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

Ming Kang^*, Mohamed Slim Alouini

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	317-323
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	49
Issue number	1
DOIs	https://doi.org/10.1109/TIT.2002.806151
State	Published - Jan 2003
Externally published	Yes

Keywords

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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10.1109/TIT.2002.806151

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abstract = "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.",

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author = "Ming Kang and Alouini, {Mohamed Slim}",

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AU - Alouini, Mohamed Slim

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AB - 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.

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KW - Interference suppression

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

Abstract

Keywords

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