Connections between the generalized marcum Q-function and a class of hypergeometric functions

Morales-Jiménez, David; Lopez-Martínez, F. Javier; Martos-Naya, Eduardo; Paris, José F.; Lozano Solsona, Angel

doi:http://dx.doi.org/10.1109/TIT.2013.2291198

Connections between the generalized marcum Q-function and a class of hypergeometric functions

Citació

Morales-Jimenez D, Lopez-Martinez F, Martos-Naya E, Paris JF, Lozano A. Connections between the generalized marcum Q-function and a class of hypergeometric functions. IEEE Transactions on Information Theory. 2014 Feb 16; 60(2): 1077-82. DOI 10.1109/TIT.2013.2291198.

Resum

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.