A Parameter Estimation Method of Gamma-gamma Distribution Based on Double Log Cumulant Expectation

A technology of distributed parameters and cumulants, which is applied in transmission monitoring, electrical components, transmission systems, etc., can solve the problems of poor fitting accuracy in atmospheric turbulent regions, poor estimation accuracy of shape parameters, and low estimation accuracy, so as to reduce computational complexity , parameter estimation accuracy is close, and the effect of high computational efficiency

Active Publication Date: 2018-06-05
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

[0006] The problem to be solved by the present invention is: for the Gamma-Gamma channel model, the parameter estimation method based on moment estimation is mainly: the estimation accuracy of the shape parameter is poor, and even wrong estimation may occur. This shortcoming causes the Gamma-Gamma based on moment estimation. The fitting accuracy of the distribution to the atmospheric turbulence region is poor, and as the non-uniformity of the atmospheric turbulence region increases, the estimation accuracy will become lower and lower

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  • A Parameter Estimation Method of Gamma-gamma Distribution Based on Double Log Cumulant Expectation
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  • A Parameter Estimation Method of Gamma-gamma Distribution Based on Double Log Cumulant Expectation

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[0028] The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings.

[0029] figure 1 A map of the atmospheric turbulence channel model. The atmospheric turbulence channel model changes with the transformation of the atmospheric turbulence scale coefficient. The Gamma-Gamma distribution contains two scale scintillation coefficients, so it can well fit the actual situation of atmospheric turbulence. refer to figure 2 As shown, the derivation flow chart of the Gamma-Gamma distribution parameter estimator based on double-log cumulant expectation is given. It includes the following steps: first analyze the Gamma-Gamma distribution modeling principle, generate a Gamma-Gamma channel model, then analyze the Mellin transformation principle, apply the Mellin transformation to the Gamma-Gamma distribution, and derive the relationship between the logarithmic cumulant and the shape parameter Finally, through the tra...

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Abstract

The invention relates to a Gamma-Gamma distribution parameter estimation method based on a double logarithmic cumulant expectation, and belongs to the technical field of atmospheric turbulence channel parameter estimation of free space optical communication systems. According to the method, a Gamma-Gamma distribution parameter estimation process is simplified greatly through Mellin transform, and a uniform parameter estimation method is built specific to the problems of low fractional moment (FMOM) parameter estimation accuracy and even error estimation in the prior art. Then, further improvements are made, and a concept of double logarithmic cumulant expectation is put forward, so that a finial parameter estimation expression is deduced. Compared with an FMOM, the Gamma-Gamma distribution parameter estimation method has the advantages that relatively high computing efficiency is ensured, and the parameter estimation accuracy is increased.

Description

technical field [0001] The invention belongs to the technical field of communication, in particular to the technical field of atmospheric turbulence channel parameter estimation for free-space optical communication systems, and relates to a Gamma-Gamma distribution parameter estimation method based on double logarithmic cumulant expectation. Background technique [0002] Compared with the traditional microwave communication method, free space optical communication has the advantages of large communication capacity, good confidentiality, strong anti-electromagnetic interference ability, no need for radio frequency license, small size, light weight and low power consumption. Therefore, This technology has received extensive attention internationally. The air is full of gas molecules and aerosol molecules, and the laser will be affected by these molecules and particles during the atmospheric transmission process, so that part of the light radiation energy is absorbed and conver...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04B17/391H04B17/309H04B10/11
CPCH04B10/11H04B17/309H04B17/391
Inventor 王汝言罗华丰赵辉张浩翀杜阳韩建新
Owner CHONGQING UNIV OF POSTS & TELECOMM
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