Generalized Pareto distribution parameter joint double quantile estimation method

A distribution parameter and point estimation technology, applied in radio wave measurement systems, instruments, etc., can solve problems such as insufficient accuracy of estimation results, and achieve the effect of improving accuracy and high precision

Active Publication Date: 2017-10-20
XIDIAN UNIV
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Problems solved by technology

The literature "P-L.Shui and M.Liu, "Subbandadaptive GLRT-LTD for weak moving targets in sea clutter," IEEETrans.Aerosp.Electron.Syst., 52(1):423-437, 2016." proposes that the sample cumulative probability is The biquantile point estimation method at 0.5 and 0.75, which is robust to abnormal samples, but because only two points on the empirical cumulative probability density function are used, the accuracy of the estimation result is not enough

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[0044] The present invention will be further described below in conjunction with accompanying drawing:

[0045] refer to figure 1 , the implementation steps of the present invention are as follows:

[0046] Step 1, obtain the sequence of increasing clutter amplitude.

[0047] The radar transmitter transmits a continuous pulse signal, and the pulse signal is irradiated on the surface of the object to generate an echo. The radar receiver receives the echo data. Among the echo data, N clutter data are selected, and the N clutter data are modeled and Arranged in ascending order, get the clutter amplitude increasing sequence z 1 ,z 2 ,...,z i ,...,z N , where z i Indicates the i-th clutter amplitude in the clutter amplitude increasing sequence, i=1,2,...,N, this example takes N=10 4 .

[0048] Step 2, determine the probability density function f(r) of the generalized Pareto distribution:

[0049]

[0050] Among them, r represents the magnitude of the clutter, which is a...

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Abstract

The invention discloses a generalized Pareto distribution parameter joint double quantile estimation method, so as to solve problems of poor applicability and not robustness to abnormal samples in the prior art. The method comprises steps: 1) a clutter amplitude increasing sequence is acquired; 2) according to a generalized Pareto distribution probability density function, a cumulative distribution function for generalized Pareto distribution is determined; 3) k pairs of sample cumulative probabilities are selected, and according to the cumulative distribution function, equations of quantiles and generalized Pareto distribution parameters are obtained; 4) according to the clutter amplitude increasing sequence, the estimation value of each quantile is solved; and 5) the estimation value of the quantile is used to replace a quantile in the equations of quantiles and generalized Pareto distribution parameters, and a shape parameter estimation value lambda-hat and a scale parameter estimation value eta-hat are obtained. Interference of abnormal samples on sample data is reduced, the parameter estimation performance is improved, and the method can be used for target detection in a sea clutter background.

Description

technical field [0001] The invention belongs to the technical field of radar target detection, and in particular relates to a joint biquantile point estimation method, which can be used to determine the shape and scale parameters of a sea clutter amplitude distribution model under the background of sea clutter. Background technique [0002] Object detection in sea clutter background is an important application field of radar. [0003] The composite Gaussian model is a sea clutter model widely recognized by scholars at present. It is the product of a slowly varying positive random variable texture component and a rapidly varying complex Gaussian random vector speckle component. When the texture component of sea clutter obeys the inverse gamma distribution, the sea clutter amplitude obeys the generalized Pareto distribution model. The structure of the optimal detector under the generalized Pareto distribution model has been obtained. The structure of the optimal detector dep...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S7/41
CPCG01S7/414
Inventor 水鹏朗杨春娇于涵黄宇婷
Owner XIDIAN UNIV
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