Novel expressions for the Marcum and one dimensional Q-functions

Paschalis Sofotasios, Steven Freear

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

39 Citations (Scopus)


The aim of this work is twofold. Firstly, we derive a novel closed-form representation for the Marcum Q-function, Qm(a, b), which is valid for all values of its order m. Secondly, we propose a novel tight approximation for the one dimensional Q-function, Q(x). The high accuracy of the derived expressions is verified with the aid of computational algorithms as well as through comparisons with existing, yet limited, representations. Importantly, the derived relationships have a relatively simple algebraic form and therefore, they are convenient to handle both analytically and numerically. As a consequence, they may be considered as useful mathematical tools in analytic performance evaluations of digital communications over fading channels.
Original languageEnglish
Title of host publication2010 7th International Symposium on Wireless Communication Systems (ISWCS)
Publication statusPublished - 2010
Externally publishedYes
Publication typeA4 Article in a conference publication


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