Sum and difference of two squared correlated Nakagami variates in connection with the McKay distribution

被引：67

作者：

Holm, H ^{[1
]}

Alouini, MS ^{[1
]}

机构：

[1] Univ Minnesota, Dept Elect & Comp Engn, Minneapolis, MN 55455 USA

来源：

IEEE TRANSACTIONS ON COMMUNICATIONS | 2004年 / 52卷 / 08期

基金：

美国国家科学基金会;

关键词：

correlated fading; gamma distribution; McKay distribution; Nakagami fading; outage probability;

D O I：

10.1109/TCOMM.2004.833019

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：

General formulas for the probability density function of the sum and the difference of two correlated, not necessarily identically distributed, squared Nakagami variates (or equivalently, gamma variates) are derived. These expressions are shown to be in the form of the McKay "Bessel function" distributions. In addition, formulas for the moments of these distributions, in terms of the Gauss hypergeometric function, are provided. An application of these new results relevant to the calculation of outage probability in the presence of self-interference is discussed.

引用

页码：1367 / 1376

页数：10

共 28 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]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[3] OUTAGE PROBABILITIES OF CELLULAR MOBILE RADIO SYSTEMS WITH MULTIPLE NAKAGAMI INTERFERERS [J].

ABUDAYYA, AA ;

BEAULIEU, NC .

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 1991, 40 (04) :757-768

[4]

Alouini M.-S., 1998, Proceedings. Thiry-Sixth Annual Allerton Conference on Communication, Control, and Computing, P146

[5] COHERENT DS-CDMA PERFORMANCE IN NAKAGAMI MULTIPATH-FADING [J].

ENG, T ;

MILSTEIN, LB .

IEEE TRANSACTIONS ON COMMUNICATIONS, 1995, 43 (2-4) :1134-1143

[6] New method of performance analysis for diversity reception with correlated Rayleigh-fading signals [J].

Fang, LQ ;

Bi, G ;

Kot, AC .

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2000, 49 (05) :1807-1812

[7]

Gradshteyn I. S., 2000, TABLE INTEGRALS SERI

[8]

Johnson N., 1994, CONTINUOUS UNIVARIAT, V1, DOI DOI 10.1016/0167-9473(96)90015-8

[9]

KENDALL MG, 1947, ADV THEORY STAT, V1

[10]

KO YC, 2001, THESIS U MINNESOTA M

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