Analytic solutions to a Marcum Q-function-based integral and application in energy detection of unknown signals over multipath fading channels

Paschalis C. Sofotasios, Mikko Valkama, Theodoros A. Tsiftsis, Yury A. Brychkov, Steven Freear, George K. Karagiannidis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

24 Citations (Scopus)

Abstract

This work presents analytic solutions for a useful integral in wireless communications, which involves the Marcum Q-function in combination with an exponential function and arbitrary power terms. The derived expressions have a rather simple algebraic representation which renders them convenient both analytically and computationally. Furthermore, they can be useful in wireless communications and particularly in the context of cognitive radio communications and radar systems, where this integral is often encountered. To this end, we derive novel expressions for the probability of detection in energy detection based spectrum sensing over η - μ fading channels. These expressions are given in closed-form and are subsequently employed in analyzing the effects of generalised multipath fading conditions in cognitive radio systems. As expected, it is shown that the detector is highly dependent upon the severity of fading conditions as even slight variation of the fading parameters affect the corresponding performance significantly.

Original languageEnglish
Title of host publicationProceedings of the 2014 9th International Conference on Cognitive Radio Oriented Wireless Networks and Communications, CROWNCOM 2014
PublisherIEEE Computer Society
Pages260-265
Number of pages6
ISBN (Print)9781631900037
DOIs
Publication statusPublished - Jan 1 2014
Event9th International Conference on Cognitive Radio Oriented Wireless Networks, CROWNCOM 2014 - Oulu, Finland
Duration: Jun 2 2014Jun 4 2014

Publication series

NameProceedings of the 2014 9th International Conference on Cognitive Radio Oriented Wireless Networks and Communications, CROWNCOM 2014

Other

Other9th International Conference on Cognitive Radio Oriented Wireless Networks, CROWNCOM 2014
CountryFinland
CityOulu
Period6/2/146/4/14

ASJC Scopus subject areas

  • Computer Networks and Communications

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  • Cite this

    Sofotasios, P. C., Valkama, M., Tsiftsis, T. A., Brychkov, Y. A., Freear, S., & Karagiannidis, G. K. (2014). Analytic solutions to a Marcum Q-function-based integral and application in energy detection of unknown signals over multipath fading channels. In Proceedings of the 2014 9th International Conference on Cognitive Radio Oriented Wireless Networks and Communications, CROWNCOM 2014 (pp. 260-265). [6849696] (Proceedings of the 2014 9th International Conference on Cognitive Radio Oriented Wireless Networks and Communications, CROWNCOM 2014). IEEE Computer Society. https://doi.org/10.4108/icst.crowncom.2014.255383