• DocumentCode
    713033
  • Title

    Analytical expression of average detection probability for a linear MMSE combiner in cognitive radio networks

  • Author

    Hariharan, S. ; Chaitanya, K. ; Muthuchidambaranathan, P.

  • Author_Institution
    Dept. of Electron. & Commun. Eng., Nat. Inst. of Technol., Tiruchirapalli, India
  • fYear
    2015
  • fDate
    26-27 Feb. 2015
  • Firstpage
    1459
  • Lastpage
    1462
  • Abstract
    This paper derives the theoretical average detection probability of the Fusion Center (FC) with linear minimum mean square error (MMSE) combiner. We consider a centralized cooperative multiple-input multiple-output (MIMO) antenna based reporting network. We assume the sensing channel as an additive white Gaussian noise (AWGN) and the reporting channel as an independent and identically distributed (IID) Rayleigh fading channel. To obtain the average detection probability of FC, average the statistical distribution of output signal-to-interference-plus-noise ratio (SINR) of MMSE combiner and the detection probability of FC over AWGN channel which is a generalized Marcum Q-function. We arrive at a closed form expression of average detection probability by making some approximations in the output SINR distribution where it involves hypergeometric function with two matrix arguments which in turn expressed as an infinite series of zonal polynomials.
  • Keywords
    AWGN channels; MIMO communication; Rayleigh channels; cognitive radio; cooperative communication; least mean squares methods; probability; AWGN channel; SINR distribution; additive white Gaussian noise; average detection probability; centralized cooperative multiple-input multiple-output antenna; cognitive radio networks; fusion center; generalized Marcum Q-function; hypergeometric function; independent and identically distributed Rayleigh fading channel; linear MMSE combiner; linear minimum mean square error combiner; sensing channel; signal-to-interference-plus-noise ratio; Cognitive radio; Diversity reception; Interference; MIMO; Sensors; Signal to noise ratio; Average detection probability; Cognitive Radio Networks; Linear MMSE; MIMO;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electronics and Communication Systems (ICECS), 2015 2nd International Conference on
  • Conference_Location
    Coimbatore
  • Print_ISBN
    978-1-4799-7224-1
  • Type

    conf

  • DOI
    10.1109/ECS.2015.7124827
  • Filename
    7124827