Detecting method of weak periodic signal based on chaotic system and wavelet threshold denoising

A weak periodic signal, wavelet threshold denoising technology, applied in the direction of mitigating undesired effects, etc., can solve the problem that weak signals cannot be detected.

Inactive Publication Date: 2010-11-10
CENT SOUTH UNIV
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Problems solved by technology

However, because the measured signal is very weak, the background noise of the sensor, the inherent noise of the amplifier circuit and the measuring instrument, and the external interference noise are often much larger than the useful signal. The process of amplifying the measured signal also amplifies the noise. , and will inevitably add some add

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  • Detecting method of weak periodic signal based on chaotic system and wavelet threshold denoising
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  • Detecting method of weak periodic signal based on chaotic system and wavelet threshold denoising

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Embodiment 1

[0051] Below specific implementation of the present invention is described in detail, as Figure 7 .

[0052] 1. Perform wavelet transform filtering on the detected information:

[0053] definition is the multiresolution analysis generated by the scaling function φ, W j for V j at V j-1 The orthogonal complement space in , that is, there is W j =V j-1 -V j . Let φ j，k is the scale space A set of orthogonal basis, ψ j，k for small spaces {W j，k} a set of orthonormal basis. Let f ∈ V j-1 , assuming that the signal AS(t) is restored from the noisy data f(t), f(t)=AS(t)+zs, AS(t) is a periodic signal; zs is a noise signal. Then f can be projected onto V j and W j space, namely in ψ j，k Similar, i.e. binary translation and scaling of functions; C j，k and D j，k are the rough coefficients and wavelet coefficients of the j-scale space, respectively.

[0054] (1) Wavelet decomposition of the signal, select a wavelet base to decompose the collected signal and de...

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Abstract

The invention discloses a detecting method of a weak periodic signal based on a chaotic system and wavelet threshold denoising, which comprises the following steps of: firstly carrying out wavelet decomposition on collected information, and determining a decomposition scale according to an actual signal-to-noise condition; denoising a wavelet high-frequency coefficient after the wavelet decomposition, wherein in the process of wavelet threshold denoising, the selection of a threshold is an important problem and directly influences a denoising result, so that the invention firstly provides a method for determining the threshold according to the scale for carrying out coefficient threshold processing to improve the denoising effect; reconstructing a signal after denoising, merging the signal to be detected after wavelet denoising reconstruction as one part of the driving force of the chaotic system into a chaotic detecting system, further inhabiting noise interference by utilizing the characteristics of the chaotic system for strong noise immunity, periodic weak signal sensitivity and the like, and effectively extracting the weak signal. The invention improves the detection threshold and the signal-to-noise ratio purely based on the chaotic detecting system.

Description

technical field [0001] The invention relates to a method for detecting weak periodic signals based on chaotic system and wavelet threshold value denoising. technical background [0002] With the development of science and technology, the demand for detection of weak signals is becoming increasingly urgent. Detection of weak signals is an important means for developing high-tech, exploring and discovering new natural laws under extreme conditions, and is very important for promoting national economy, national defense construction and environmental protection issues. The development of related fields is of great significance. In a sense, weak signal detection is a technology dedicated to fighting against noise, that is, a fast, accurate, and highly sensitive acquisition and processing technology for weak signals under strong noise. It is a new technology for extracting useful signals from noise. Subject. [0003] Weak signal not only means that the amplitude of the signal is...

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Application Information

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IPC IPC(8): G01D3/028
Inventor 邓宏贵曹文晖梅卫平敖邦乾
Owner CENT SOUTH UNIV
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