Design of vibration inspired bi-orthogonal wavelets for signal analysis

Date
2013-07-24
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Abstract

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.

Description
Degree
Master of Science
Type
Thesis
Keywords
Wavelet transform, Impulse response, Scaling function coefficients, Bi-orthogonal wavelet, Dilation equation
Citation

Phan, Quan. "Design of vibration inspired bi-orthogonal wavelets for signal analysis." (2013) Master’s Thesis, Rice University. https://hdl.handle.net/1911/71679.

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