Connections Between the Generalized Marcum Q-Function and a Class of Hypergeometric Functions

被引：23

作者：

Morales-Jimenez, David ^{[1
]}

Lopez-Martinez, F. Javier ^{[2
]}

Martos-Naya, Eduardo ^{[3
]}

Paris, Jose F. ^{[3
]}

Lozano, Angel ^{[1
]}

机构：

[1] Univ Pompeu Fabra, Dept Informat & Commun Technol, Barcelona 08018, Spain

[2] Stanford Univ, Wireless Syst Lab, Stanford, CA 94305 USA

[3] Univ Malaga, Dept Ingn Comunicac, E-29071 Malaga, Spain

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2014年 / 60卷 / 02期

关键词：

Marcum-Q function; confluent hypergeometric functions; bivariate Nakagami-m; non-central Wishart matrix; minimum eigenvalue distribution; RAYLEIGH-FADING CHANNELS; NAKAGAMI-M DISTRIBUTION; NUTTALL Q-FUNCTIONS; EIGENVALUE DISTRIBUTIONS; WISHART MATRICES; SYSTEMS; CAPACITY; ANTENNA; BOUNDS; REPRESENTATIONS;

D O I：

10.1109/TIT.2013.2291198

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Phi(3). This result is then applied to the closed-form characterization of the bivariate Nakagami-m distribution and of the distribution of the minimum eigenvalue of correlated noncentral Wishart matrices, both important in communication theory. New expressions for the corresponding cumulative distributions are obtained and a number of communication-theoretic problems involving them are pointed out.

引用

页码：1077 / 1082

页数：6

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