An efficient approach to multivariate Nakagami-m distribution using Green's matrix approximation

被引:122
作者
Karagiannidis, GK [1 ]
Zogas, DA
Kotsopoulos, SA
机构
[1] Natl Observ Athens, Inst Space Applicat & Remote Sensing, Athens 15236, Greece
[2] Univ Patras, Dept Elect & Comp Engn, Patras 26442, Greece
关键词
correlated fading; diversity systems; Nakagami-m fading; Rayleigh fading; selection combining;
D O I
10.1109/TWC.2003.816792
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
In this letter, an efficient approach for the evaluation of the Nakagami-m multivariate probability density function (pdf) and cumulative distribution function (cdf) with arbitrary correlation is presented. Approximating the correlation matrix with a Green's matrix, useful closed formulas for the joint Nakagami-m pdf and cdf, are derived. The proposed approach is a significant theoretical tool that can be efficiently used in the performance analysis of wireless communications systems operating over correlative Nakagami-m fading channels.
引用
收藏
页码:883 / 889
页数:7
相关论文
共 19 条
[1]   PERFORMANCE OF MAXIMAL-RATIO DIVERSITY SYSTEMS IN A CORRELATED NAKAGAMI-FADING ENVIRONMENT [J].
AALO, VA .
IEEE TRANSACTIONS ON COMMUNICATIONS, 1995, 43 (08) :2360-2369
[2]   Comments on "On verifying the first-order Markovian assumption for a Rayleigh fading channel model" [J].
Abdi, A .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 1999, 48 (05) :1739-1739
[3]   Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels [J].
Alouini, MS ;
Abdi, A ;
Kaveh, M .
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2001, 50 (06) :1471-1480
[4]   PROPERTIES OF GENERALIZED RAYLEIGH DISTRIBUTIONS [J].
BLUMENSON, LE ;
MILLER, KS .
ANNALS OF MATHEMATICAL STATISTICS, 1963, 34 (03) :903-&
[5]  
Golub G.H., 2013, MATRIX COMPUTATIONS
[6]  
Gradshteyn I.S., 1994, Tables of Integrals, Series, and Products
[7]  
JENSEN DR, 1970, SANKHYA SER A, V32, P193
[8]   On the multivariate Nakagami-m distribution with exponential correlation [J].
Karagiannidis, GK ;
Zogas, DA ;
Kotsopoulos, SA .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2003, 51 (08) :1240-1244
[9]  
KO YC, 2001, THESIS U MINESOTA MI
[10]   On multivariate Rayleigh and exponential distributions [J].
Mallik, RK .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (06) :1499-1515