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

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• dc.contributor.author Morales-Jiménez, Davidca
• dc.contributor.author Lopez-Martínez, F. Javierca
• dc.contributor.author Martos-Naya, Eduardoca
• dc.contributor.author Paris, José F.ca
• dc.contributor.author Lozano Solsona, Angelca
• dc.date.accessioned 2015-04-13T08:34:49Z
• dc.date.available 2015-04-13T08:34:49Z
• dc.date.issued 2014ca
• dc.description.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.en
• dc.description.sponsorship D. Morales-Jimenez and A. Lozano were supported in part by the Spanish/nGovernment under Projects TEC2012-34642 and CSD2008-00010 and in part/nby the Catalan Government under Grant SGR200970. F. J. Lopez-Martinez/nwas supported in part by the Spanish Government-FEDER under Grant/nTEC2011-25473, in part by Junta de Anda/nlucia under Grants TIC7109 and/nTIC8238, and in part by the University of Malaga and by the European Union/nunder the Marie-Curie Cofund U-mobility Program under Grant 246550./nE. Martos-Naya and J. F. Paris were supported in part by the Spanish/nGovernment-FEDER under Grant TEC2011-25473 and in part by Junta de/nAndalucia under Grants TIC7109 and TIC8238.
• dc.format.mimetype application/pdfca
• dc.identifier.citation 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.ca
• dc.identifier.doi http://dx.doi.org/10.1109/TIT.2013.2291198
• dc.identifier.issn 0018-9448ca
• dc.identifier.uri http://hdl.handle.net/10230/23409
• dc.language.iso engca
• dc.publisher Institute of Electrical and Electronics Engineers (IEEE)ca
• dc.relation.ispartof IEEE Transactions on Information Theory. 2014 Feb 16; 60(2): 1077-82
• dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/CSD2008-00010
• dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/TEC2012-34642
• dc.relation.projectID info:eu-repo/grantAgreement/ES/3PN/TEC2011-25473
• dc.rights © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works./nThe final published article can be found at http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6665126ca
• dc.rights.accessRights info:eu-repo/semantics/openAccessca
• dc.subject.keyword Marcum-Q functionen
• dc.subject.keyword Confluent hypergeometric functionsen
• dc.subject.keyword Bivariate Nakagami-men
• dc.subject.keyword Non-central Wishart matrix
• dc.subject.keyword Minimum eigenvalue distributionen
• dc.title Connections between the generalized marcum Q-function and a class of hypergeometric functionsca
• dc.type info:eu-repo/semantics/articleca
• dc.type.version info:eu-repo/semantics/submittedVersionca