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

2 Citations (Scopus)


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 publication2014 IEEE International Conference on Acoustic, Speech and Signal Processing (ICASSP)
Number of pages5
ISBN (Print)9781479928927
Publication statusPublished - 2014
Event39th IEEE International Conference on Acoustics, Speech and Signal Processing 2014 - Florence, Italy, Florence, Italy
Duration: 4 May 20149 May 2014

Publication series

NameProceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing
ISSN (Print)1520-6149


Conference39th IEEE International Conference on Acoustics, Speech and Signal Processing 2014
Abbreviated titleICASSP 2014
OtherICASSP is the world's largest and most comprehensive technical conference focused on signal processing and its applications. The series is sponsored by the IEEE Signal Processing Society and has been held annually since 1976. The conference features world-class speakers, tutorials, exhibits, a Show and Tell event, and over 120 lecture and poster sessions.
ICASSP is a cooperative effort of the IEEE Signal Processing Society Technical Committees:
Audio and Acoustic Signal Processing
Bio Imaging and Signal Processing
Design and Implementation of Signal Processing Systems
Image, Video, and Multidimenional Signal Processing
Information Forensics and Security
Industry DSP Technology Standing Committee
Machine Learning for Signal Processing
Multimedia Signal Processing
Sensor Array and Multichannel
Signal Processing for Communications and Networking
Signal Processing Education Standing Committee
Signal Processing Theory and Methods
Speech and Langauge Processing
Internet address


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

ASJC Scopus subject areas

  • Signal Processing
  • Software
  • Electrical and Electronic Engineering


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