Multi-quantile estimation method of sea clutter Weibull amplitude distribution parameters

A technique of amplitude distribution and multi-quantile points, applied in the field of signal processing, can solve problems such as inability to obtain display expressions, complex calculations, and model errors in clutter amplitude distribution

Active Publication Date: 2015-07-01
XIDIAN UNIV
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Problems solved by technology

The Gamma function is involved in the Weibull distribution moment estimation, and the display expression cannot be obtained, and the calculation is complicated
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  • Multi-quantile estimation method of sea clutter Weibull amplitude distribution parameters
  • Multi-quantile estimation method of sea clutter Weibull amplitude distribution parameters
  • Multi-quantile estimation method of sea clutter Weibull amplitude distribution parameters

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Embodiment Construction

[0022] The present invention will be further described below in conjunction with accompanying drawing:

[0023] refer to figure 1 , the implementation steps of the present invention are as follows:

[0024] Step 1. Calculate the expression of the cumulative distribution function F(x, η, β) according to the probability density function f(x, η, β) of the sea clutter Weibull amplitude distribution model.

[0025] The probability density function f(x,η,β) of the sea clutter Weibull amplitude distribution model is integrated to obtain the expression of the cumulative distribution function F(x,η,β) of the sea clutter Weibull amplitude distribution model:

[0026] F ( x , η , β ) = ∫ 0 x f ( x , η , β ) ...

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Abstract

The invention discloses a multi-quantile estimation method of sea clutter Weibull amplitude distribution parameters. The method includes the steps of firstly, acquiring the cumulative distribution function of a sea clutter Weibull amplitude distribution model according to the probability density function of the sea clutter Weibull amplitude distribution model; secondly, selecting three sample cumulative probability p1, p2 and p3, and acquiring three quantile equations related to the shape parameter beta and the scale parameter eta of the sea clutter Weibull amplitude distribution model according to the definition of quantile; thirdly, using clutter amplitude data to obtain estimation values x^p1, x^p2 and x^p3 of quantiles xp1, xp2 and xp3; fourthly, using the estimation values x^p1, x^p2 and x^p3 and the three quantile equations in the second step to obtain the estimation value beta^ of the shape parameter beta and the estimation value eta^ of the scale parameter eta. By the method applicable to target detection under the sea clutter background, interference of anomalous scattering units to samples can be reduced, and parameter estimation performance is increased.

Description

technical field [0001] The invention belongs to the technical field of signal processing, and in particular relates to a method for estimating multi-quantile points of Weibull amplitude distribution parameters of sea clutter, which can be used for target detection under the background of sea clutter. Background technique [0002] Sea clutter is formed by the superposition of backscattering vectors of a large number of independent sea surface scatterers, and is a key factor affecting sea surface target detection and target motion parameter estimation. The optimal target detection method in the sea clutter background depends on the model parameters of the sea clutter amplitude distribution model. The sea clutter amplitude distribution model changes with the radar resolution and sea conditions. How to effectively estimate the sea clutter amplitude distribution model The model parameters of are the key to the sea surface target detection problem. Under low-resolution radar cond...

Claims

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Application Information

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IPC IPC(8): G01S7/41
CPCG01S7/414
Inventor 水鹏朗蒋晓薇许述文徐众林
Owner XIDIAN UNIV
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