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Design of vibration inspired bi-orthogonal wavelets for signal analysis

In this thesis, a method to calculate scaling function coefficients for a new bi-orthogonal wavelet family derived directly from an impulse response waveform is presented. In literature, the Daubechies wavelets (DB wavelet) and the Morlet wavelet are the most commonly used wavelets for the dyadic wavelet transform (DWT) and the continuous wavelet transform (CWT), respectively. For a specific vibration signal processing application, a wavelet basis that is similar or is derived directly from the signal being studied proves to be superior to the commonly used wavelet basis. To assure a wavelet basis has a direct relationship to the signal being studied, a new formula is proposed to calculate coefficients which capture the characteristics of an impulse response waveform. The calculated coefficients are then used to develop a new bi-orthogonal wavelet family.

Identiferoai:union.ndltd.org:RICE/oai:scholarship.rice.edu:1911/71679
Date24 July 2013
CreatorsPhan, Quan
ContributorsDick, Andrew J.
Source SetsRice University
LanguageEnglish
Detected LanguageEnglish
Typethesis, text
Formatapplication/pdf

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