A novel variance estimation approach for modified Rayleigh radial model based on the Kullback-Leibler divergence

Maoke Miao*, Xiao Yu Chen, Rui Yin, Jiantao Yuan, Xinyu Zhang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

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The implementation of optical communication and quantum communication technologies based on the free space has many advantages when compared with the implementation based on the optical fibers. However, the performance of communication systems can be deteriorated by the atmospheric turbulence when optical beams transmit through the free space, and it has been widely acknowledged that turbulence-induced pointing error is the one of the major performance-limiting factors. The pointing error model consists of two parts, one is the channel transmittance model and the other is radial model. To make the results more general, the Beckmann radial model can be assumed, and it is expressed in an integral form. Therefore, aiming to further analyze the performance of communication systems, researchers have proposed two kinds of modified Rayleigh distributions based on the moment matching method to approximate the Beckmann distribution. In this paper, we present a new variance estimation method of modified Rayleigh distribution based on the Kullback-Leibler divergence. The proposed method has two advantages when compared with the moment matching method proposed before: 1) The derived new variance can reduce the computational cost of gain parameter; 2) It leads to a better approximation to the Beckmann distribution in most scenarios according to the Kolmogorov-Smirnov goodness-of-fit statistical test results.

Original languageEnglish
Title of host publicationAdvanced Fiber Laser Conference, AFL 2023
EditorsPu Zhou
ISBN (Electronic)9781510677661
Publication statusPublished - 2024
MoE publication typeA4 Conference publication
EventAdvanced Fiber Laser Conference - Shenzhen, China
Duration: 10 Nov 202312 Nov 2023

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceAdvanced Fiber Laser Conference
Abbreviated titleAFL


  • Free space
  • Kullback-Leibler divergence
  • Optical communication
  • Pointing error
  • Quantum communication


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