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Method for improving anti-noise capability of Duffing chaotic oscillator for detecting weak resonance signal

A technology of resonant signal and chaotic oscillator, applied in the field of signal processing, can solve the problems of unable to extract resonant signal, unable to detect the sign change of the maximum Lyapunov exponent, etc., so as to improve the ability to detect weak signals and reduce the minimum signal-to-noise ratio threshold. , the effect of improving the anti-noise performance

Active Publication Date: 2020-05-08
JIANGSU UNIV
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Problems solved by technology

In 2017, Shi Huichao and others proposed two amplitude detection algorithms to detect weak resonance signals under different noise levels, and compared and analyzed the two algorithms, but the commonly used Holmes-Duffing equation involved When the coefficients α and β of the nonlinear restoring force term are both set to 1, and the noise variance increases to 0.01, the maximum sign change of the Lyapunov exponent cannot be detected, so the resonance signal cannot be extracted

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  • Method for improving anti-noise capability of Duffing chaotic oscillator for detecting weak resonance signal
  • Method for improving anti-noise capability of Duffing chaotic oscillator for detecting weak resonance signal
  • Method for improving anti-noise capability of Duffing chaotic oscillator for detecting weak resonance signal

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[0029] In order to make the technical means, creative features, work flow, and use methods of the present invention achieve the purpose and effect easily understood, the present invention will be further described below in conjunction with specific examples.

[0030] like figure 1 As shown, a method for improving the anti-noise ability of the Duffing chaotic oscillator to detect weak resonance signals includes the following detailed steps:

[0031] Step (1), establish the improved Holmes-Duffing equation:

[0032] The general expression of the Holmes-Duffing equation is:

[0033]

[0034] In the formula: k is the damping ratio; -αx 3 +βx 5 is the nonlinear restoring force item, α and β are the coefficients of the nonlinear restoring force item; rsin(ωt) is the built-in driving force, r and ω are the amplitude and angular frequency of the built-in driving force, ω=2πf, f is the built-in driving force The frequency of the power; asin(ω 0 t+θ 0 ) is the resonance signal ...

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Abstract

The invention discloses a method for improving the anti-noise capability of a Duffing chaotic oscillator for detecting weak resonance signals. The method comprises the following steps of establishinga Holmes-Duffing equation for modifying a nonlinear restoring force item coefficient and an order and converting the state equation into a Holmes-Duffing system state equation with any frequency to solve a maximum Lyapunov indexl l determining a critical threshold value of a Duffing system amplitude reverse subtraction algorithm according to the sign symbol change of the maximum Lyapunov index; and carrying out weak resonance signal detection under different noise variances on an actual amplitude-frequency characteristic curve obtained by open-loop frequency sweeping by utilizing the improvedHolmes-Duffing equation and an amplitude inverse subtraction algorithm. The method has stronger noise interference resistance in the aspect of detecting weak resonance signals, is high in detection precision and small in relative error, has great significance in practical application, and thus has good application prospects.

Description

technical field [0001] The invention belongs to the field of signal processing, and in particular relates to a method for improving the anti-noise ability of detecting weak resonance signals by modifying the coefficient and order of the nonlinear restoring force item in the Duffing equation. Background technique [0002] The resonant micro-cantilever sensor is widely used in safety monitoring, environmental detection, food safety and other fields; by detecting the change of the resonant frequency of the cantilever beam, the quantitative detection of the substance to be measured can be realized; the resonant micro-cantilever sensor works through external signal excitation, The output signal is very weak, and the weak signal needs to be extracted in a noisy environment. [0003] At present, many scholars have made a lot of progress in the weak signal detection of the resonant micro-cantilever sensor. The detection methods in the prior art largely rely on amplifiers and filter...

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Application Information

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IPC IPC(8): G06F17/11G06N7/08G06F30/20G01D5/02
CPCG06F17/11G06N7/08G01D5/02Y02T90/00
Inventor 王权戴荣
Owner JIANGSU UNIV
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