Construction of M - Band bandlimited wavelets for orthogonal decomposition

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dc.contributor.advisor Rao, R.M.
dc.contributor.advisor Dianat, S.A.
dc.contributor.advisor Rao, T.M.
dc.contributor.advisor Amuso, V.J.
dc.contributor.advisor Bowman, R.J.
dc.contributor.author Tennant, Bryce
dc.date.accessioned 2012-10-08T15:18:08Z
dc.date.available 2012-10-08T15:18:08Z
dc.date.issued 2003-05
dc.identifier.uri http://hdl.handle.net/1850/15355
dc.description.abstract While bandlimited wavelets and associated IIR filters have shown serious potential in areas of pattern recognition and communications, the dyadic Meyer wavelet is the only known approach to construct bandlimited orthogonal decomposition. The sine scaling function and wavelet are a special case of the Meyer. Previous works have proposed a M - Band extension of the Meyer wavelet without solving the problem. One key contribution of this thesis is the derivation of the correct bandlimits for the scaling function and wavelets to guarantee an orthogonal basis. In addition, the actual construction of the wavelets based upon these bandlimits is developed. A composite wavelet will be derived based on the M scale relationships from which we will extract the wavelet functions. A proper solution to this task is proposed which will generate associated filters with the knowledge of the scaling function and the constraints for Mband orthogonality. en_US
dc.language.iso en_US en_US
dc.subject Bandlimits en_US
dc.subject Electrical engineering en_US
dc.subject Wavelet en_US
dc.subject.lcc QA403.3 .T46 2003
dc.subject.lcsh Wavelets (Mathematics) en_US
dc.subject.lcsh Signal processing--Mathematics en_US
dc.title Construction of M - Band bandlimited wavelets for orthogonal decomposition en_US
dc.type Thesis en_US
dc.description.college Kate Gleason College of Engineering en_US
dc.description.department Department of Electrical Engineering en_US

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