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Weak signal detection of ternary noise cascaded unsaturated bistable stochastic resonance

A weak signal detection, stochastic resonance technology, used in measuring devices, measuring ultrasonic/sonic/infrasonic waves, instruments, etc.

Inactive Publication Date: 2020-10-16
CHONGQING UNIV OF POSTS & TELECOMM
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The present invention selects a two-level cascade system for analysis and simulation

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  • Weak signal detection of ternary noise cascaded unsaturated bistable stochastic resonance
  • Weak signal detection of ternary noise cascaded unsaturated bistable stochastic resonance
  • Weak signal detection of ternary noise cascaded unsaturated bistable stochastic resonance

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Embodiment Construction

[0018] The implementation of the present invention will be further described below in conjunction with the accompanying drawings and specific examples.

[0019] Step 1: The paper proposes a new type of unsaturated piecewise bistable system. Under the joint drive of ternary noise and periodic signal, its Langevin equation is expressed as:

[0020]

[0021] In formula (1), s (t)=Acos (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 detected, ξ(t) is the symmetrical three-valued noise, and the values ​​are a 0 ,0,-a 0 , and the steady-state probability densities for each value are:

[0022] P s (a 0 ) = P s (-a 0 )=q,P s (0)=1-2q (2)

[0023] ξ(t)=a 0 ,0,-a 0 The transition probability between three values ​​can be expressed as:

[0024]

[0025]

[0026] Where t′, t represent different moments, 0cor the reciprocal of . In particular, when q=1 / 2, the noise is binary noise.

[0027] According to ...

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Abstract

The invention discloses weak signal detection of ternary noise cascaded unsaturated bistable stochastic resonance, which belongs to the field of signal processing. A four-order Runge-Kutta method is utilized to verify that the cascaded unsaturated bistable system overcomes the saturation characteristic of a classic bistable system. By taking the signal-to-noise ratio gain as a performance index, the change of the output signal-to-noise ratio gain of the classical bistable system and the cascaded unsaturated bistable system along with the ternary noise parameter is explored, and the result shows that the anti-noise performance of the cascaded unsaturated bistable system is superior to that of the classical bistable system. An input signal is compared with an output signal of the cascaded unsaturated bistable stochastic resonance system, and a result shows that the cascaded bistable stochastic resonance system has waveform filtering and shaping performance. The spectral peak value of theoutput signal at the to-be-measured signal is far higher than the spectral peak value of the input signal. And the single-stage output signal-to-noise ratio gain is smaller than the second-stage output signal-to-noise ratio gain. The method has important research significance and good development prospect for detection of weak signals.

Description

technical field [0001] The invention relates to weak signal detection and other related fields, in particular to a weak signal detection method of cascaded unsaturated bistable stochastic resonance under ternary noise, which detects weak periodic signals by taking the output signal-to-noise ratio gain as a performance detection index. Background technique [0002] Weak feature signal detection is a technology that studies how to extract useful signals or detect very weak signals from strong noise backgrounds. Weak signal detection has a very wide range of applications, involving electronics, information theory, nonlinear science, signal processing and computer technology, which makes people continue to explore new research methods and new theories. [0003] The concept of stochastic resonance (Stochastic Resonance, SR) was originally proposed by Benzi et al. when studying paleoclimate glaciers. Stochastic resonance is a dynamic phenomenon in which the output response of a n...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01H17/00
CPCG01H17/00
Inventor 张刚王慧刘小漫曾玉洁刘秋玲朱星宇贺利芳
Owner CHONGQING UNIV OF POSTS & TELECOMM
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