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    Collaborative spectrum sensing based on the ratio between largest eigenvalue and Geometric mean of eigenvalues

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    Type
    Conference Paper
    Authors
    Shakir, Muhammad
    Rao, Anlei
    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
    2011-12
    Permanent link to this record
    http://hdl.handle.net/10754/564467
    
    Metadata
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    Abstract
    In this paper, we introduce a new detector referred to as Geometric mean detector (GEMD) which is based on the ratio of the largest eigenvalue to the Geometric mean of the eigenvalues for collaborative spectrum sensing. The decision threshold has been derived by employing Gaussian approximation approach. In this approach, the two random variables, i.e. The largest eigenvalue and the Geometric mean of the eigenvalues are considered as independent Gaussian random variables such that their cumulative distribution functions (CDFs) are approximated by a univariate Gaussian distribution function for any number of cooperating secondary users and received samples. The approximation approach is based on the calculation of exact analytical moments of the largest eigenvalue and the Geometric mean of the eigenvalues of the received covariance matrix. The decision threshold has been calculated by exploiting the CDF of the ratio of two Gaussian distributed random variables. In this context, we exchange the analytical moments of the two random variables with the moments of the Gaussian distribution function. The performance of the detector is compared with the performance of the energy detector and eigenvalue ratio detector. Analytical and simulation results show that our newly proposed detector yields considerable performance advantage in realistic spectrum sensing scenarios. Moreover, our results based on proposed approximation approach are in perfect agreement with the empirical results. © 2011 IEEE.
    Citation
    Shakir, M. Z., Rao, A., & Alouini, M.-S. (2011). Collaborative spectrum sensing based on the ratio between largest eigenvalue and Geometric mean of eigenvalues. 2011 IEEE GLOBECOM Workshops (GC Wkshps). doi:10.1109/glocomw.2011.6162590
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2011 IEEE GLOBECOM Workshops (GC Wkshps)
    Conference/Event name
    2011 IEEE GLOBECOM Workshops, GC Wkshps 2011
    ISBN
    9781467300407
    DOI
    10.1109/GLOCOMW.2011.6162590
    ae974a485f413a2113503eed53cd6c53
    10.1109/GLOCOMW.2011.6162590
    Scopus Count
    Collections
    Conference Papers; 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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