
Application of Harmonic Wavelet and Its
Time-Frequency Profile Plot to Diagnosis of Rotating Machinery
Gao Qiang, He Zhengjia
(Xi'an Jiaotong University, Xi'an 710049, China)
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Abstract: Harmonic wavelet definition and characteristics are introduced.
In harmonic wavelet analysis, wavelet time-frequency map and contour plot are ususlly used
to show the harmonic wavelet decompositon. They can illustrate the distribution of signal
energy over time-frequency directly, furthermore, identify weak singularity in a pure
signal clearly. When the signal possesses noise, these two methods become ineffective on
identifying singularity, so they are almost useless in practice. A new method, wavelet
time-frequency profile plot(TFPP) is proposed, which can suppress the effect of noise and
recognise weak singularity. With TFPP, vibration data of a key rotating machine in an oil
refinery are analysed. After synthesizing fast Fourier transform,singular feature of the
signal is extracted and weak fault is diagnosed successfully.
Keywords: harmonic wavelet;time-frequency profile plot;rotating
machinery;fault diagnosis