Improved Wigner–Ville distribution performance based on DCT/DFT harmonic wavelet transform and modified magnitude group delay

2008 ◽  
Vol 88 (1) ◽  
pp. 1-18 ◽  
Author(s):  
S.V. Narasimhan ◽  
A.R. Haripriya ◽  
B.K. Shreyamsha Kumar
Keyword(s):  
Wavelet Transform ◽  
Group Delay ◽  
Harmonic Wavelet

scholarly journals Wavelet-transform analysis for group delay extraction of white light spectral interferograms

2009 ◽  
Vol 17 (8) ◽  
pp. 6038 ◽  
Author(s):  
Yuquiang Deng ◽  
Weijian Yang ◽  
Chun Zhou ◽  
Xi Wang ◽  
Jun Tao ◽  
...  
Keyword(s):  
Wavelet Transform ◽  
White Light ◽  
Group Delay ◽  
Wavelet Transform Analysis ◽  
Delay Extraction

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.

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