New Results for the Multivariate Nakagami-m Fading Model with Arbitrary Correlation Matrix and Applications

被引：34

作者：

Alexandropoulos, George C. ^{[1
,2
]}

Sagias, Nikos C. ^{[2
]}

Lazarakis, Fotis I. ^{[2
]}

Berberidis, Kostas

机构：

[1] Univ Patras, Dept Comp Engn & Informat, GR-26500 Rion, Greece

[2] Demokritos Natl Ctr Sci Res, Inst Informat & Telecommun, Wirelss Commun Lab, GR-15310 Athens, Greece

来源：

IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS | 2009年 / 8卷 / 01期

关键词：

Bit error rate (BER); correlated fading; correlation models; diversity; Householder matrix; maximal-ratio combining (MRC); multichannel receivers; multivariate analysis; Nakagami-m fading; outage probability; selection combining (SC); INFINITE SERIES REPRESENTATIONS; PERFORMANCE ANALYSIS; BIVARIATE RAYLEIGH; COMBINER OUTPUT; DIVERSITY; CHANNELS; SYSTEMS; COMMUNICATION; RECEPTION; MRC;

D O I：

10.1109/T-WC.2009.070521

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

New results for the multichannel Nakagami-m fading model with an arbitrary correlation matrix are presented in this paper. By using an efficient tridiagonalization method based on Householder matrices, the inverse of the Gaussian correlation matrix is transformed to tridiagonal, managing to derive a closed-form union upper bound for the joint Nakagami-m probability density function and an exact analytical expression for the moment generating function of the sum of identically distributed gamma random variables. Our analysis considers an arbitrary correlation structure, which includes as special cases the exponential, constant, circular, and linear correlation ones. Based on the proposed mathematical analysis, we obtain a tight union upper bound for the outage probability of multibranch selection diversity receivers as well as exact analytical expressions for the outage and the average error probability of multibranch maximal-ratio diversity receivers. Our analysis is verified by comparing numerically evaluated with extensive computer simulation performance evaluation results, showing the usefulness of the proposed approach.

引用

页码：245 / 255

页数：11

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