Bryce Tennant

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.

Library of Congress Subject Headings

Wavelets (Mathematics); Signal processing--Mathematics

Publication Date

5-1-2003

Document Type

Thesis

Department, Program, or Center

Electrical Engineering (KGCOE)

Advisor

Rao, R.M.

Advisor/Committee Member

Dianat, S.A.

Advisor/Committee Member

Rao, T.M.

Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QA403.3 .T46 2003

Campus

RIT – Main Campus

Download

Share

COinS