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Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 31, Iss. 9 — May. 1, 2013
  • pp: 1347–1353

A New Method for Maximum Likelihood Parameter Estimation of Γ-Γ Distribution

Mahdi Kazeminia and Mehri Mehrjoo

Journal of Lightwave Technology, Vol. 31, Issue 9, pp. 1347-1353 (2013)

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We propose a method to obtain the maximum likelihood (ML) parameter estimation of the Γ-Γ (\Γ-\Γ) distribution representing the free space optical (FSO) channel irradiance fluctuations. The proposed method is based on the expectation maximization (EM) algorithm and the generalized Newton method using a non-quadratic approximation. The numerical results show that, for all turbulence conditions, the proposed ML method is more accurate than the fractional moments (FMOM) method and the numerical ML method (two dimensional numerical maximization of log-likelihood function using the Nelder-Mead algorithm). Moreover, the proposed ML is a fast and stable iterative method, because the iterations always converge to the global optimum with high convergence rate.

© 2013 IEEE

Mahdi Kazeminia and Mehri Mehrjoo, "A New Method for Maximum Likelihood Parameter Estimation of Γ-Γ Distribution," J. Lightwave Technol. 31, 1347-1353 (2013)

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