Design of vibration inspired bi-orthogonal wavelets for signal analysis

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dc.contributor.advisorDick, Andrew J.en_US
dc.contributor.committeeMemberSpanos, Pol D.en_US
dc.contributor.committeeMemberStanciulescu, Ilincaen_US
dc.creatorPhan, Quanen_US
dc.date.accessioned2013-07-24T19:40:50Zen_US
dc.date.accessioned2013-07-24T19:40:53Zen_US
dc.date.available2013-07-24T19:40:50Zen_US
dc.date.available2013-07-24T19:40:53Zen_US
dc.date.created2012-12en_US
dc.date.issued2013-07-24en_US
dc.date.submittedDecember 2012en_US
dc.date.updated2013-07-24T19:40:53Zen_US
dc.description.abstractIn 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.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationPhan, Quan. "Design of vibration inspired bi-orthogonal wavelets for signal analysis." (2013) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/71679">https://hdl.handle.net/1911/71679</a>.en_US
dc.identifier.slug123456789/ETD-2012-12-215en_US
dc.identifier.urihttps://hdl.handle.net/1911/71679en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectWavelet transformen_US
dc.subjectImpulse responseen_US
dc.subjectScaling function coefficientsen_US
dc.subjectBi-orthogonal waveleten_US
dc.subjectDilation equationen_US
dc.titleDesign of vibration inspired bi-orthogonal wavelets for signal analysisen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineering and Materials Scienceen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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