Three-stable state stochastic resonance detection method for weak signals in color noise

A stochastic resonance and tri-stable technology, which is applied to computer parts, instruments, character and pattern recognition, etc., can solve the problem of too ideal noise selection, achieve the effect of improving flexibility and output signal-to-noise ratio

Inactive Publication Date: 2018-04-03
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

[0004] Most stochastic resonance systems are used to detect low-fre

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  • Three-stable state stochastic resonance detection method for weak signals in color noise
  • Three-stable state stochastic resonance detection method for weak signals in color noise
  • Three-stable state stochastic resonance detection method for weak signals in color noise

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Embodiment Construction

[0014] The implementation of the present invention will be further described below in conjunction with the accompanying drawings and specific examples.

[0015] Step 1: In the dynamical system, the three-stable system in which the color noise and the weak signal act together has the following expression:

[0016]

[0017] In formula (1), s(t)=Asin(2πft) is the input signal, A is the amplitude of the input signal, f is the frequency of the signal to be measured, and ξ(t) is Gaussian colored noise, satisfying:

[0018] =0 (2)

[0019]

[0020] where D represents the noise intensity. U(x) is the potential function of the tristable system, and its expression is:

[0021]

[0022] Changing the system parameters a, b, and c will also change the graph of the potential function accordingly. When a=2, b=4, and c=1, the potential wells on both sides of the potential function are deeper than those in the middle. When a=2, b=4 , when c=2, the depths of the three potential well...

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Abstract

The invention provides a three-stable state stochastic resonance detection method for weak signals in color noise and belongs to the field of signal processing. A fourth-order Runge-Kutta method and aself-adaptive optimizing algorithm are utilized, SNR gain is selected as an measurement index, influence on system SNR gain by three-stable system parameters a, b and c and D is studied, and then a high frequency weak signal detection method and square wave detection are disclosed. Finally, the signal detection is realized. Experiments prove that the SNR gain change in a non-linear manner along with a, increases first and decreases then and finally approaches zero gradually; increases first and decreases then along with parameter b; increases first and decreases then along with parameter c ina single peak change form; and, being indicative of pulse characteristics, increases rapidly first along with noise strength D. Therefore, low frequency weak signals can be detected well. At the sametime, the method achieves the same effect when being applied to high frequency weak signal detection with parameter compensation. The method studies a more universal and generalized stochastic resonance system and significant to weak signal detection in engineering application.

Description

technical field [0001] The invention belongs to weak signal detection and other related fields, and specifically relates to a weak signal detection method of tristable stochastic resonance under colored noise, which uses the gain of sex-to-noise ratio as an index, and detects high and low frequency weak periodic signals under different periodic signals. Background technique [0002] Weak signal detection is a comprehensive technology, involving information theory, nonlinear science, signal processing and other disciplines, and is closely related to specific application fields, such as fault detection, seismic survey, biological applications, metal detection, etc. A technique for extracting useful signals from strong noise backgrounds. Weak signal does not only mean that the amplitude of the signal is very small, but mainly refers to the signal that is submerged by noise. Weakness is relative to noise. Noise is ubiquitous, and signal and noise coexist in the practical applic...

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Application Information

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IPC IPC(8): G06K9/00
CPCG06F2218/08
Inventor 张刚易甜郝怡曼曹莉张天骐贺利芳
Owner CHONGQING UNIV OF POSTS & TELECOMM
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