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    Generalized eigenvalue based spectrum sensing

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    Type
    Article
    Authors
    Shakir, Muhammad
    Alouini, Mohamed-Slim cc
    KAUST Department
    Communication Theory Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2012-04-28
    Online Publication Date
    2012-04-28
    Print Publication Date
    2012
    Permanent link to this record
    http://hdl.handle.net/10754/561979
    
    Metadata
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    Abstract
    Spectrum sensing is one of the fundamental components in cognitive radio networks. In this chapter, a generalized spectrum sensing framework which is referred to as Generalized Mean Detector (GMD) has been introduced. In this context, we generalize the detectors based on the eigenvalues of the received signal covariance matrix and transform the eigenvalue based spectrum sensing detectors namely: (i) the Eigenvalue Ratio Detector (ERD) and two newly proposed detectors which are referred to as (ii) the GEometric Mean Detector (GEMD) and (iii) the ARithmetic Mean Detector (ARMD) into an unified framework of generalize spectrum sensing. The foundation of the proposed framework is based on the calculation of exact analytical moments of the random variables of the decision threshold of the respective detectors. The decision threshold has been calculated in a closed form which is based on the approximation of Cumulative Distribution Functions (CDFs) of the respective test statistics. In this context, we exchange the analytical moments of the two random variables of the respective test statistics with the moments of the Gaussian (or Gamma) distribution function. The performance of the eigenvalue based detectors is compared with the several traditional detectors including the energy detector (ED) to validate the importance of the eigenvalue based detectors and the performance of the GEMD and the ARMD particularly in realistic wireless cognitive radio network. Analytical and simulation results show that the newly proposed detectors yields considerable performance advantage in realistic spectrum sensing scenarios. Moreover, the presented results based on proposed approximation approaches are in perfect agreement with the empirical results. © 2012 Springer Science+Business Media Dordrecht.
    Citation
    Shakir, M. Z., & Alouini, M.-S. (2012). Generalized Eigenvalue Based Spectrum Sensing. Cognitive Radio and Its Application for Next Generation Cellular and Wireless Networks, 139–176. doi:10.1007/978-94-007-1827-2_6
    Publisher
    Springer Nature
    Journal
    Cognitive Radio and its Application for Next Generation Cellular and Wireless Networks
    ISBN
    9789400718265
    DOI
    10.1007/978-94-007-1827-2_6
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-94-007-1827-2_6
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Electrical Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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