Optimal decision threshold for eigenvalue-based spectrum sensing techniques

Yibo He, Tharmalingam Ratnarajah, Jiang Xue, Ebtihal H G Yousif, Mathini Sellathurai

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

Abstract / Description of output

This paper investigates optimization of the sensing threshold that minimizes the total error rate (i.e., the sum of the probabilities of false alarm and missed detection) of eigenvalue-based spectrum sensing techniques for multiple-antenna cognitive radio networks. Four techniques are investigated, which are maximum eigenvalue detection (MED), maximum minimum eigenvalue (MME) detection, energy with minimum eigenvalue (EME) detection, and the generalized likelihood ratio test (GLRT) detection. The contribution of this paper is of four parts. Firstly, we present the derivative of the matrix-variate confluent hypergeometric function, which is required for the MED case. Secondly, we derive the probabilities of false alarm for both cases MME and EME detection. Thirdly, we derive the probability of missed detection for the GLRT detector. Finally, we provide the exact expressions required to obtain the optimal sensing thresholds for all cases. The simulation results reveal that for all the investigated cases the chosen optimal sensing thresholds achieve the minimum total error rate.

Original languageEnglish
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7734-7738
Number of pages5
ISBN (Print)9781479928927
DOIs
Publication statusPublished - 1 Jan 2014
EventICASSP 2014 - 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Florence, Italy, Florence, United Kingdom
Duration: 4 May 20149 May 2014

Conference

ConferenceICASSP 2014 - 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
Country/TerritoryUnited Kingdom
CityFlorence
Period4/05/149/05/14

Keywords / Materials (for Non-textual outputs)

  • Cognitive radio
  • eigenvalue-based spectrum sensing
  • matrix-variate confluent hyper-geometric function
  • optimal decision threshold

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