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Performance Analysis of FSO Communications Under Correlated Fading Conditions

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Optical Wireless Communications

Part of the book series: Signals and Communication Technology ((SCT))

Abstract

This chapter considers performance evaluation of space-diversity free-space optical (FSO) communication systems over correlated Gamma-Gamma (\(\Gamma \Gamma\)) fading channels. To do this, we firstly describe in detail the \(\Gamma \Gamma\) model and explain how to model space-diversity FSO channels. Next, we investigate the fading correlation existing in real space-diversity FSO systems using wave-optics simulations. To integrate the fading correlation into the \(\Gamma \Gamma\) channel model, we decompose the correlation coefficient into large- and small-scale correlation coefficients. Then, the generation of correlated \(\Gamma \Gamma\) random variables (RVs) corresponding to the correlated FSO channel fading coefficients is presented for evaluating the system performance via Monte-Carlo simulations. Because Monte-Carlo simulations are in general highly time-consuming, analytical performance evaluation methods are also introduced.

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Notes

  1. 1.

    Here, a sub channel refers to the channel between a pair of transmit-receive apertures.

  2. 2.

    The loss of spatial coherence of an initially coherent laser beam is caused by the atmospherice. The spatial coherence radius \(\rho_{0}\) is defined as the \({1 \mathord{\left/ {\vphantom {1 e}} \right. \kern-0pt} e}\) point of the wave complex degree of coherence, Considering the plane wave model, \(\rho_{0}\) is given by \(\left( {1.46\,C_{n}^{2} k^{2} L} \right)^{{ - {3 \mathord{\left/ {\vphantom {3 5}} \right. \kern-0pt} 5}}}\) with k represending the optical wave number (see [3, Sect. 6.4]). In weak-to moderate turbulence regime, the irradiance fluctuations are mainly induced by the turbulence cells of size smaller than \(\rho_{0}\) [1].

  3. 3.

    At the transmitter, the diameter of the transmitted beam hard aperture is set as \(D_{T} = 2\sqrt 2 W_{0}\), where \(W_{0}\) is the beam waist [15].

  4. 4.

    Here, \({\mathbf{R}}_{{\mathbf{H}}} (1,\;:)\) represents the first row of the correlation matrix \({\mathbf{R}}_{{\mathbf{H}}}\). Given the symmetry of \({\mathbf{R}}_{{\mathbf{H}}}\), i.e., \({\mathbf{R}}_{{\mathbf{H}}} (i,\;j) = {\mathbf{R}}_{{\mathbf{H}}} (j,\;i)\) and \({\mathbf{R}}_{{\mathbf{H}}} (i,\;j) = {\mathbf{R}}_{{\mathbf{H}}} (i \pm\,k,\;j \pm\,k)\), one could easily deduce the entire \({\mathbf{R}}_{{\mathbf{H}}}\) matrix entries.

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Author information

Authors and Affiliations

  1. College of Communication Engineering, Hangzhou Dianzi University, Hangzhou, China

    Guowei Yang

  2. Institut Fresnel, UMR CNRS 7249, École Centrale Marseille, Marseille, France

    Mohammad-Ali Khalighi & Salah Bourennane

  3. Optical Communications Research Group, Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne, UK

    Zabih Ghassemlooy

Authors
  1. Guowei Yang
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  2. Mohammad-Ali Khalighi
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  3. Zabih Ghassemlooy
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  4. Salah Bourennane
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Corresponding author

Correspondence to Mohammad-Ali Khalighi .

Editor information

Editors and Affiliations

  1. Department of Electrical and Electronics Engineering, Özyeğin University, İstanbul, Turkey

    Murat Uysal

  2. Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milan, Italy

    Carlo Capsoni

  3. Faculty of Engineering and Environment, University of Northumbria at Newcastle, Newcastle-upon-Tyne, United Kingdom

    Zabih Ghassemlooy

  4. Department of Informatics and Telecommunications, University of Peloponnese, Tripolis, Arkadhia, Greece

    Anthony Boucouvalas

  5. Department of Broadband Infocommunication and Electromagnetic Theory, Budapest University of Technology and Economics, Budapest, Hungary

    Eszter Udvary

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Yang, G., Khalighi, MA., Ghassemlooy, Z., Bourennane, S. (2016). Performance Analysis of FSO Communications Under Correlated Fading Conditions. In: Uysal, M., Capsoni, C., Ghassemlooy, Z., Boucouvalas, A., Udvary, E. (eds) Optical Wireless Communications. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-30201-0_10

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  • DOI: https://doi.org/10.1007/978-3-319-30201-0_10

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  • Print ISBN: 978-3-319-30200-3

  • Online ISBN: 978-3-319-30201-0

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