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dc.contributor.advisor Dick, Andrew J.
dc.creatorPhan, Quan
dc.date.accessioned 2013-07-24T19:40:50Z
dc.date.accessioned 2013-07-24T19:40:53Z
dc.date.available 2013-07-24T19:40:50Z
dc.date.available 2013-07-24T19:40:53Z
dc.date.created 2012-12
dc.date.issued 2013-07-24
dc.date.submitted December 2012
dc.identifier.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.
dc.identifier.urihttps://hdl.handle.net/1911/71679
dc.description.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.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectWavelet transform
Impulse response
Scaling function coefficients
Bi-orthogonal wavelet
Dilation equation
dc.title Design of vibration inspired bi-orthogonal wavelets for signal analysis
dc.type Thesis
dc.contributor.committeeMember Spanos, Pol D.
dc.contributor.committeeMember Stanciulescu, Ilinca
dc.date.updated 2013-07-24T19:40:53Z
dc.identifier.slug 123456789/ETD-2012-12-215
dc.type.material Text
thesis.degree.department Mechanical Engineering and Materials Science
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science


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