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A weak signal detection method based on linearly coupled bistable system

A weak signal detection and linear coupling technology, which is applied in instrumentation, calculation, design optimization/simulation, etc., can solve the problem of too ideal noise selection and achieve the effect of improving flexibility

Inactive Publication Date: 2019-02-26
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

[0004] Most stochastic resonance systems use classical bistable systems to detect the frequency of low-frequency weak signals, and the noise selection is too ideal

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  • A weak signal detection method based on linearly coupled bistable system
  • A weak signal detection method based on linearly coupled bistable system
  • A weak signal detection method based on linearly coupled bistable system

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Embodiment Construction

[0023] The implementation of the present invention will be further described below in conjunction with the accompanying drawings and specific examples.

[0024] Step 1: In the dynamical system, the linearly coupled bistable system with symmetric ternary noise and weak signal acting together has the following expression:

[0025]

[0026] In formula (1), s(t)=Asin(2πf 0 t) is the input signal, A is the amplitude of the input signal, f 0 is the frequency of the signal to be measured, ξ(t) is the symmetrical three-valued noise, and the values ​​are a 0 ,0,-a 0 , the occurrence probability of each value satisfies:

[0027] P s (a 0 ) = P s (-a 0 )=q,P s (0)=1-2q (2)

[0028] ξ(t)=a 0 ,0,-a 0 The transition probability between three values ​​can be expressed as:

[0029] P(±a 0 ,t'|0,t)=P(-a 0 ,t'|a 0 ,t)=P(a 0 ,t'|-a 0 ,t)=q(1-e -v(t'-t) )

[0030] P(0,t'|±a 0 ,t)=(1-2q)(1-e -v(t'-t) ) (3)

[0031] Where t', t represent different moments, v is the ternar...

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Abstract

The invention relates to a weak signal detection method based on a linearly coupled bistable system, belonging to the signal processing field. The fourth-order Runge-Kutta method is used to select thesignal-to-noise ratio gain as a measurement index, and the influence of the parameters D, a0 and r on the signal-to-noise ratio gain of the system is studied. Then, the detection of single frequencyand multi-frequency weak periodic signals is realized. Finally, the linearly coupled bistable system proposed by the invention is compared with the classical bistable system. The experimental resultsshow that the signal-to-noise ratio gain varies nonlinearly with the noise intensity D, increasing at first and then decreasing. With the parameter a0, the signal-to-noise ratio first increases and then decreases; with the increase of the coupling strength parameter r, the signal-to-noise ratio decreases gradually, and the single peak shifts to the right. The stochastic resonance performance of the linear coupling system provided by the invention is superior to that of the classical bistable system, which is mainly embodied in that the detection result value of the weak signal of the former ishigher than that of the latter, and the detection effect of the former is obviously superior to that of the latter for multi-frequency weak signal. The method is of great significance to detect weaksignals in engineering applications.

Description

technical field [0001] The invention belongs to the related fields of weak signal detection and the like, and specifically relates to a weak signal detection method of linear coupling bistable stochastic resonance under symmetrical ternary noise, which uses signal-to-noise ratio gain 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 nois...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/333G06F30/20
Inventor 张刚胡达云王慧张瑶吴瑕张天骐
Owner CHONGQING UNIV OF POSTS & TELECOMM
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