Detecting method based on multi-frequency stimulation Duffing chaotic oscillator weak signal detection system

A weak signal detection and chaotic oscillator technology, applied in the field of signal detection, can solve the problems of affecting the detection effect and difficult evaluation

Active Publication Date: 2014-01-15
JINAN UNIVERSITY +1
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  • Application Information

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Problems solved by technology

Due to the complexity of nonlinear dynamic behavior, multi-frequency signals will have uncertain effects on the phase transition law of the single-frequency excitation chaotic oscillator detection system
Therefore, when using a single-frequency excitation chaotic oscillator detection system to detect multi-frequency signals, the detection effect will be affected due to theoretical flaws, and it is difficult to evaluate it

Method used

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  • Detecting method based on multi-frequency stimulation Duffing chaotic oscillator weak signal detection system
  • Detecting method based on multi-frequency stimulation Duffing chaotic oscillator weak signal detection system
  • Detecting method based on multi-frequency stimulation Duffing chaotic oscillator weak signal detection system

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Embodiment 1

[0053] Such as figure 1 As shown, this embodiment is based on the detection method of the multi-frequency excitation Daphne chaotic oscillator weak signal detection system, including the following steps:

[0054] 1) Construct the weak signal detection system of multi-frequency excitation Daphne chaotic oscillator, as follows:

[0055] 1.1) Select the free vibration Daffin chaotic oscillator mathematical model:

[0056] x · · + k x · - x + x 3 = 0 - - - ( 1 )

[0057] Among them, k is the damping coefficient of the Daphne oscillator, (-x+x 3 ) is the nonlinear restoring force term;

[0058] 1.2) Decompose the noise-free detected signal s(t) into the form of harmonic superposition of differe...

Embodiment 2

[0076] This embodiment takes ultrasonic guided wave non-destructive testing as an example, as follows:

[0077] 1) The single-frequency superposition signal modulated by the Hanning window is commonly used in the ultrasonic guided wave nondestructive testing, and its general expression is:

[0078] s ( t ) = [ 1 2 ( 1 - cos 2 π f c t n ) ] sin ( 2 π f c t ) - - - ( 6 )

[0079] Among them, f c is the center frequency of the ex...

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Abstract

The invention discloses a detecting method based on a multi-frequency stimulation Duffing chaotic oscillator weak signal detection system. The method comprises the following steps that 1) the multi-frequency stimulation Duffing chaotic oscillator weak signal detection system is established, namely a free-oscillation Duffing chaotic oscillator mathematic model is selected; detected signals which do not contain noise are decomposed in a different-frequency-harmonic-wave-superposition mode; the detected signals which do not contain noise are used as Duffing chaotic oscillator stimulation item factors, the multi-frequency stimulation Duffing chaotic oscillator weak signal detection system is established; an equation set form is rewritten, an equation set is solved, F0 corresponding to a phase transformation critical state which is sensitive to driving force and is good in identifiability is used as initial driving force of the detection system; 2) the detected signals are introduced into the multi-frequency stimulation Duffing chaotic oscillator weak signal detection system, and detection is carried out according to the phase transformation law. According to the method, when multi-frequency signals are detected, the uncertain influence of the detected signals on the phase transformation law of a single-frequency stimulation chaotic oscillator detection system can be removed or lowered.

Description

technical field [0001] The invention relates to a construction method of a chaotic oscillator weak signal detection system, in particular to a detection method based on a multi-frequency excitation Daphne chaotic oscillator weak signal detection system, which belongs to the technical field of signal detection. Background technique [0002] Weak signal detection technology is widely used in non-destructive testing, sonar and radar detection, circuit control, power system fault diagnosis, etc., and is a current research hotspot. Due to the influence of the application environment and other factors, the detection signal is often submerged in the noise and becomes a "weak signal". [0003] At present, commonly used weak signal detection methods include correlation analysis, filtering, sampling integration, etc. These methods are easy to use, but compared with the chaotic oscillator detection system, the ability to suppress noise is relatively limited. [0004] The detection of ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R23/02
Inventor 马宏伟林荣刘嘉杨飞莫应强
Owner JINAN UNIVERSITY
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