scholarly journals Detection of a Small Fault in a Rotating Gear by the Harmonic Wavelet Transform

2008 ◽  
Vol 2 (1) ◽  
pp. 197-208
Author(s):  
Takumi INOUE ◽  
Atsuo SUEOKA
Keyword(s):  
Wavelet Transform ◽  
Small Fault ◽  
Harmonic Wavelet

Detection of minute signs of a small fault in a periodic or a quasi-periodic signal by the harmonic wavelet transform

2007 ◽  
Vol 21 (5) ◽  
pp. 2041-2055 ◽  
Author(s):  
Takumi Inoue ◽  
Atsuo Sueoka ◽  
Hiroyuki Kanemoto ◽  
Satoru Odahara ◽  
Yukitaka Murakami
Keyword(s):  
Wavelet Transform ◽  
Periodic Signal ◽  
Small Fault ◽  
Harmonic Wavelet

Using a Modified Harmonic Wavelet Transform to Characterize Mechanical Shock

2011 ◽  
Vol 54 (2) ◽  
pp. 85-102
Author(s):  
David Smallwood
Keyword(s):  
Wavelet Transform ◽  
Spectral Density ◽  
Estimation Error ◽  
Cross Product ◽  
Constant Time ◽  
Time Varying ◽  
Mechanical Shock ◽  
Time Frequency ◽  
Harmonic Wavelet

A modified harmonic wavelet transform is used to estimate a time varying spectral density. The resolution of the estimate has an approximate constant time-frequency product. The estimation error is directly related to this time-frequency product. Unwanted cross product terms are effectively minimized. Several examples are given: White random, two sine waves, chirps, impulses, sums of exponentially decaying sinusoids, and a pyroshock. It is also shown how realizations can be generated from the modified harmonic wavelet transform estimate of the time varying spectral density.

scholarly journals On the Discrete Harmonic Wavelet Transform

2008 ◽  
Vol 2008 ◽  
pp. 1-7 ◽  
Author(s):  
Carlo Cattani ◽  
Aleksey Kudreyko
Keyword(s):  
Wavelet Transform ◽  
Absolute Error ◽  
Harmonic Wavelet ◽  
The Absolute

The discrete harmonic wavelet transform has been reviewed and applied towards given functions. The absolute error of reconstruction of the functions has been computed.

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