Method for estimating weak signal amplitude under alpha noise background

A weak signal, noise background technology, applied in computing, special data processing applications, instruments, etc., can solve the problems of low precision, large amount of calculation, difficult programming, etc.

Inactive Publication Date: 2013-06-05
CHANGCHUN UNIV OF SCI & TECH
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Problems solved by technology

[0024] The present invention provides a method for estimating the amplitude of weak signals under the background of alpha noise to solve the problems of certain errors in amplitude estimation, low precision, large amount of calculation, difficult programming, poor real-time performance, and unfavorable engineering realization.

Method used

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  • Method for estimating weak signal amplitude under alpha noise background
  • Method for estimating weak signal amplitude under alpha noise background
  • Method for estimating weak signal amplitude under alpha noise background

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experiment example

[0100] Firstly, generate the signal to be tested with the same frequency as the chaotic system s(t)=0.03cos(t)+n(t), where n(t) is the parameter α=0.77, β=0, δ=0.5, μ=0, The non-Gaussian noise of the alpha stable distribution with a skewness of -1.489. and a kurtosis of 54.056, the timing diagram of the signal and alpha noise is as follows figure 2 shown. Line 1 in the figure represents alpha noise, and line 2 represents a sinusoidal signal with an angular frequency of 1 and an amplitude of 0.03.

[0101] Then establish a chaotic system simulation model, set the system angular frequency w=1, the internal driving force F=0, and the step size is The initial value is (x 0 ,y 0 )=(0,0), the simulation time length is And the accuracy of the chaos threshold (this example sets the effective number to 6).

[0102] When the signal to be tested is not added, the chaotic threshold Fc=0.733616 is obtained;

[0103] Then add the signal to be tested and find the difference of the c...

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Abstract

The invention relates to a method for estimating weak signal amplitude under an alpha noise background and belongs to the field of nonlinear signal processing. The method comprises the steps of generating a signal to be tested in a simulation mode, establishing a Duffing chaotic system, setting parameters of the Duffing system, using a 4-order Range-Kuttle algorithm to solve a chaotic solution of the Duffing system when the signal to be tested is not added, using the almost periodicity to judge a chaotic threshold of the system, inputting the signal to be tested into the Duffing chaotic system, obtaining a chaotic threshold of the system by the same method and recording the chaotic threshold as Fs, and subtracting Fs from the obtained system chaotic threshold Fo, so that the amplitude B of the signal to be tested can be calculated. The method is simple in algorithm, low in calculated amount and capable of guaranteeing the validity and the accuracy of amplitude estimation and improving the working efficiency.

Description

technical field [0001] The invention belongs to a nonlinear signal processing method, and relates to a method for estimating the amplitude of a weak signal, specifically a method for estimating the amplitude of a weak signal by using a Duffing chaotic system under the background of non-Gaussian noise with stable alpha distribution . Background technique [0002] In the process of signal transmission, noise will inevitably be introduced, and additive non-Gaussian noise is often encountered, such as ground-sea clutter received by airborne early warning radar, artificial noise in communication, and working in high reverberation Sonar systems, etc., these noises can be described by alpha stable distribution, also known as alpha noise. [0003] The α-stable distribution is described by its characteristic function, as shown in formula (7). When there are parameters 0<α≤2, δ>0, -1≤β≤1 and a real number μ such that the random process X satisfies the following formula: [00...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 王春阳刘雪莲肖博白辰骄姜文婷
Owner CHANGCHUN UNIV OF SCI & TECH
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