Application of Improved Phase Lock Method in Weak Signal Extraction

The existing method of the weak signal under the background of strong noise (signal amplitude relative to the noise amplitude is much smaller) analysis is not very ideal. This study proposes an improved phase lock method to analyze the weak periodic signal under Gaussian white noise. Experimental re...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-02, Vol.2022, p.1-17
Main Authors: Lou, Haiyang, Hao, Rujiang, Zhang, Jianchao, Xue, Qiang
Format: Article
Language:English
Subjects:
Accumulation
Algorithms
Amplitudes
Background noise
Fault diagnosis
Fourier analysis
Lagrange multiplier
Mathematical analysis
Mathematical problems
Methods
Random noise
Random variables
Signal to noise ratio
Stochastic resonance
White noise
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Summary:The existing method of the weak signal under the background of strong noise (signal amplitude relative to the noise amplitude is much smaller) analysis is not very ideal. This study proposes an improved phase lock method to analyze the weak periodic signal under Gaussian white noise. Experimental results show that this method can better analyze weak signal-related information than the stochastic resonance method in a certain range of signal-to-noise ratio, and the amount of calculation is small, and the correlation theory is simple and adapted to the rapid detection of the signal; in order to further reduce the amount of calculation, the introduction of a high-order accumulation of the signal presence detection, experiments verify that the high-order accumulation can detect whether there is a weak signal in the Gaussian noise. The combination of high-order cumulant and improved phase lock method has a good effect on the analysis of weak periodic signals under strong noise backgrounds.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/9137927