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A Method of Detecting Nanovolt-Level Weak Sine Signals Using Chaotic System Based on Principal Component Analysis

A principal component analysis and chaotic system technology, which is applied in the field of chaotic system detection of nanovolt-level weak sinusoidal signals, can solve the problems of limited weak signal detection ability, large difference in the magnitude of eigenvalues, etc., and achieves improved detection ability and simple operation. Effect

Active Publication Date: 2022-04-05
LUOYANG NORMAL UNIV
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Problems solved by technology

However, for the detection of nanovolt-level weak signals in the background of strong noise, due to the large difference in the magnitude of the eigenvalues ​​in the signal subspace and the noise subspace, limited by the calculation accuracy of the computer, the detection ability of the principal component analysis technology for weak signals is limited.

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  • A Method of Detecting Nanovolt-Level Weak Sine Signals Using Chaotic System Based on Principal Component Analysis
  • A Method of Detecting Nanovolt-Level Weak Sine Signals Using Chaotic System Based on Principal Component Analysis
  • A Method of Detecting Nanovolt-Level Weak Sine Signals Using Chaotic System Based on Principal Component Analysis

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[0067] Suppose the nanovolt level weak sinusoidal signal to be measured is s(t)=msin(10πt), where the amplitude m=10 -10 V, the frequency is 5Hz; the background noise is composed of three signal sources, that is, the amplitude is 10 -9 V, a periodic triangular wave signal with a frequency of 10Hz; the amplitude is 10 -8 V, a periodic square wave signal with a frequency of 5Hz; the power is 9×10 -19 Gaussian white noise for W. The three signal sources in the nanovolt-level sinusoidal signal to be tested and the background noise are all linearly superimposed and mixed. The mixed signal to be tested and its composition are as follows figure 1 shown.

[0068] To perform principal component analysis on the mixed signal to be tested, first zero-mean the mixed signal, and calculate the corresponding covariance matrix according to formula (2); sort the eigenvalues ​​of the covariance matrix from large to small, and use the formula Sub(3) extracts the principal component of the mi...

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Abstract

The method for detecting nanovolt-level weak sinusoidal signals by the chaotic system of principal component analysis of the present invention introduces principal component analysis technology for the limitations of existing chaotic systems in detecting nanovolt-level weak sinusoidal signals in mixed signals. Perform zero-mean preprocessing on the mixed signal to be tested, find the covariance matrix, eigenvalues ​​and corresponding eigenvectors of the signal to be tested; arrange the eigenvalues ​​of the covariance matrix in order from large to small, and extract the corresponding period signal in the mixed signal The main component of the main component is discarded; the mixed signal of the discarded main component is used as the built-in motivating force of the chaotic system, and the frequency of the weak sinusoidal signal is detected according to the phase change of the chaotic oscillator; according to the transition of the chaotic oscillator from the critical period state to the large-scale period state, Extract the amplitude of the nanovolt-level sinusoidal signal to be tested. The method of the invention reduces the influence of other periodic signals in the mixed signal on the weak sinusoidal signal detected by the chaotic system, improves the detection capability of the chaotic system, and is simple and easy to operate.

Description

technical field [0001] The invention belongs to the technical field of measurement, and relates to a method for detecting nanovolt-level weak sinusoidal signals by a chaotic system of principal component analysis. Background technique [0002] At present, weak signal detection technology is a comprehensive technology and frontier field in signal processing. Due to the universality of Fourier series, the detection of sinusoidal signals in the background of strong noise has attracted much attention. At present, the research on the theory and method of nanovolt-level weak sinusoidal signal detection not only has great theoretical significance, but also has urgent needs and important practical significance in the fields of remote sensing measurement, fault diagnosis, system identification, physics, and biomedicine. [0003] The sensitivity of chaotic system to periodic signal and immunity to noise make it play an important role in many weak signal detection techniques. The wea...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01R23/02
CPCG01R23/02
Inventor 贺秋瑞李德光张永新贾世杰金彦龄周莉朱艺萍
Owner LUOYANG NORMAL UNIV
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