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Weak signal detection of adaptive cascade multistable stochastic resonance under color noise

A stochastic resonance, self-adaptive technology, applied in measurement devices, instruments, etc., can solve problems such as weakening useful signals and weak signal detection being useless

Inactive Publication Date: 2019-03-19
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

Traditional signal detection mainly improves the signal-to-noise ratio (SNR) by removing or suppressing noise, so as to achieve the purpose of signal detection. However, when the noise frequency is very close to the signal frequency, the frequency band noise is eliminated and the It weakens the useful signal you want to detect, and is not beneficial for weak signal detection

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  • Weak signal detection of adaptive cascade multistable stochastic resonance under color noise
  • Weak signal detection of adaptive cascade multistable stochastic resonance under color noise
  • Weak signal detection of adaptive cascade multistable stochastic resonance under color noise

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Embodiment Construction

[0017] The implementation of the present invention will be further described below in conjunction with the accompanying drawings and specific examples.

[0018] Step 1: The stochastic resonance system in the thesis is driven by the color noise and the periodic signal, and its nonlinear system model is expressed by the Langevin equation:

[0019]

[0020] Among them, U(x) is the potential function, s(t)=Asin(2πf 0 t+φ) represents the input signal, whose amplitude is A and frequency is f 0 , the initial phase is φ, and Dξ(t) is colored noise. In the traditional tristable system, the expression of its potential function is:

[0021]

[0022] Wherein, parameters a>0, b>0, c>0. From formula (2) can get:

[0023] U'(x)=ax-bx 3 +cx 5 =0 (3)

[0024] Usually, -U'(x) is called the potential well force function, the tristable potential function is an even function about x=0, and its potential well force function is odd symmetric about (0,0). Let formula (3) U'(x)=0, its ex...

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Abstract

The invention requests to protect a weak signal detection method driven by color noise and taking cascade tri-stable stochastic resonance as a model, and belongs to the field of signal processing. Taking spectrum peak value and average signal-to-noise ratio as performance indexes, the phenomenon of cascade tri-stable stochastic resonance of high and low frequency signal is studied. The optimal parameters a, b and c are selected by the adaptive algorithm to induce the cascade tri-stable system to generate stochastic resonance. Low-frequency weak signal can be well detected, and the detection effect is the same as that of the secondary sampling high-frequency weak signal. The result shows that when the same system parameters are selected, the stochastic resonance output of the cascade tri-stable system is better than that of the single-stage tri-stable system, and average signal-to-noise ratio gain of single-stage output is smaller than that of the second-stage output in the detection ofhigh-frequency signals. The method has important research significance for weak signal detection and good development prospect.

Description

technical field [0001] The invention belongs to weak signal detection and other related fields, specifically a weak signal detection method of self-adaptive cascaded multi-stable stochastic resonance under colored noise, which takes spectral peak value and average signal-to-noise ratio gain as performance indicators, and detects weak periods of different high and low frequencies Signal. Background technique [0002] Signal detection is the process of extracting useful signals from signals containing interference noise. It is widely used in many fields such as electronic technology, communication, machinery, and medicine. Traditional signal detection mainly improves the signal-to-noise ratio (SNR) by removing or suppressing noise, so as to achieve the purpose of signal detection. However, when the noise frequency is very close to the signal frequency, the frequency band noise is eliminated and the It weakens the useful signal that you want to detect, and is not beneficial to...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01D21/00
CPCG01D21/00
Inventor 张刚杨玉蕾徐浩曹世霖周林张天骐
Owner CHONGQING UNIV OF POSTS & TELECOMM
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