TY - JOUR
T1 - Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions
AU - Morales-Jimenez, David
AU - Lopez-Martinez, F. Javier
AU - Martos-Naya, Eduardo
AU - Paris, Jose F.
AU - Lozano, Angel
PY - 2014/2/1
Y1 - 2014/2/1
N2 - 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.
AB - 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.
U2 - 10.1109/TIT.2013.2291198
DO - 10.1109/TIT.2013.2291198
M3 - Article
VL - 60
SP - 1077
EP - 1082
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
SN - 0018-9448
IS - 2
ER -