
Study on the Statistic Characteristic of Continuous Wavelet
Coefficients in Processing Mechanical Signal
Liu Gang,Qu Liangsheng
(School of Mechanical Engineering,Xi'an Jiaotong University,Xi'an 710049,China)
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Abstract: The continuous wavelet coefficients of mechanical signal
possess the feature of mechanical signal. The dynamic dimension of mechanical system can
describe the characteristic of the system. The wavelet scale corresponds to the frequency
feature of the detected signal. Using continuous wavelet transform to decompose and
denoise the mechanical signal, the dynamic dimension of continuous wavelet coefficients
along the scale can be calculated. According to the dynamic dimension of the continuous
wavelet coefficients, the feature of the mechanical signal can be extracted. Practice
proved that the method could be used to extract mechanical feature and pattern
recognition.
Keywords: wavelet;signal processing;statistic characteristic;dynamic
dimension;feature extraction