Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions

David Morales-Jimenez; F. Javier Lopez-Martinez; Eduardo Martos-Naya; Jose F. Paris; Angel Lozano

doi:10.1109/TIT.2013.2291198

Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions

David Morales-Jimenez, F. Javier Lopez-Martinez, Eduardo Martos-Naya, Jose F. Paris, Angel Lozano

School of Electronics, Electrical Engineering and Computer Science

Research output: Contribution to journal › Article

15 Citations (Scopus)

Abstract

This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Φ3. 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.

Original language	English
Pages (from-to)	1077-1082
Number of pages	6
Journal	IEEE Transactions on Information Theory
Volume	60
Issue number	2
Early online date	14 Nov 2013
DOIs	https://doi.org/10.1109/TIT.2013.2291198
Publication status	Published - 01 Feb 2014

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Morales-Jimenez, D., Lopez-Martinez, F. J., Martos-Naya, E., Paris, J. F., & Lozano, A. (2014). Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions. IEEE Transactions on Information Theory, 60(2), 1077-1082. https://doi.org/10.1109/TIT.2013.2291198

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