Novel expressions for the Marcum and one dimensional Q-functions

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Abstract

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 languageBritish English
Title of host publicationProceedings of the 2010 7th International Symposium on Wireless Communication Systems, ISWCS'10
Pages736-740
Number of pages5
DOIs
StatePublished - 2010
Event2010 7th International Symposium on Wireless Communication Systems, ISWCS'10 - York, United Kingdom
Duration: 19 Sep 201022 Sep 2010

Publication series

NameProceedings of the 2010 7th International Symposium on Wireless Communication Systems, ISWCS'10

Conference

Conference2010 7th International Symposium on Wireless Communication Systems, ISWCS'10
Country/TerritoryUnited Kingdom
CityYork
Period19/09/1022/09/10

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