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A Method for Estimating The K-distribution Parameters Based on Least Square

Chen Yong-sen

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Abstract

This paper proposes a method for estimating the parameters of the K-distribution based on least square,and validates the method by simulation.This method uses variable replacing to transform the relationship between the clutter moment and distribution parameters into the linear functions,then seeks for the solution of linear overdetermined equations by the method of least square to estimate the parameters of K-distribution,which can avoid the inaccurate estimation led by the data length and noise in the process of general moment method dealing with the real clutter data,and raise the estimation accuracy by using the method of least square.

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What this paper is about

This paper proposes a method for estimating the parameters of the K-distribution based on least square,and validates the method by simulation.This method uses variable replacing to transform the relationship between the clutter moment and distribution parameters into the linear functions,then seeks for the solution of linear overdetermined equations by the method of least square to estimate the parameters of K-distribution,which can avoid the inaccurate estimation led by the data length and noise in the process of general moment method dealing with the real clutter data,and raise the estimation accuracy by using the method of least square.

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Available abstract

This paper proposes a method for estimating the parameters of the K-distribution based on least square,and validates the method by simulation.This method uses variable replacing to transform the relationship between the clutter moment and distribution parameters into the linear functions,then seeks for the solution of linear overdetermined equations by the method of least square to estimate the parameters of K-distribution,which can avoid the inaccurate estimation led by the data length and noise in the process of general moment method dealing with the real clutter data,and raise the estimation accuracy by using the method of least square.

Key concepts: Overdetermined system, Mathematics, Clutter, Moment (physics), Square (algebra), Applied mathematics, Distribution (mathematics), Method of moments (probability theory)

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