Mathematical analysis for detection probability in cognitive radio networks over wireless communication channels

Rohitha Ujjinimatad; Siddarama R. Patil

Mathematical analysis for detection probability in cognitive radio networks over wireless communication channels

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Author(s): Rohitha Ujjinimatad¹ and Siddarama R. Patil²
- Affiliations: 1: Department of Electronics and Communication Engineering , Ballari Institute of Technology and Management , Bellary 583 104 , Karnataka , India ;
  2: Electronics and Communication Engineering Department , PDA College of Engineering , Gulbarga , Karnataka , India
Source: Volume 2014, Issue 8, August 2014, p. 445 – 449
DOI: 10.1049/joe.2014.0173 , Online ISSN 2051-3305

This is an open access article published by the IET under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)

Received 14/07/2014, Accepted 14/07/2014, Published 16/07/2014

In this study, the authors consider the problem of spectrum sensing based on energy detection method in cognitive radio over wireless communication channels when users experience fading and non-fading effects. The closed-form analytical expressions for the detection probability are derived over non-fading additive white Gaussian noise channel and Rayleigh and log-normal shadowing fading channels. The detection probability involves Marcum-Q function, summations and integrations in the early research papers, which are replaced by closed-form expressions in this study. The probability distribution function of fading channels is used to obtain the expressions for detection probability. The new derived numerical results are simulated under various parameters. The performance of the derived theoretical expressions closely matches with the simulated results.

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