Constrained FIR Filter Design for 2-band Filter Banks and Orthonormal Wavelets
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
2-band paraunitary FIR filter banks can be used to generate a multiresolution analysis with compactly supported orthonormal (ON) wavelets. The filter design problem is formulated and solved (a) as a constrained LÂ â ¡ optimization problem and (b) as a constrained L2 optimization problem which allows arbitrary compromises between an L2 and an LÂ â ¡ approach with both of them as special cases. Additional flatness constraints can also be easily included. The L2 and the LÂ â ¡ design are based on the Kuhn-Tucker (KT) conditions and the alternation theorem, respectively. Therefore, optimality of the solution is guaranteed. The method (a) is a simpler alternative to a known method. The method (b) solves a more general problem than the approaches known in the literature including all of them as special cases.
Description
Advisor
Degree
Type
Keywords
Citation
L. Markus, I. W. Selesnick, J. E. Odegard and C. S. Burrus, "Constrained FIR Filter Design for 2-band Filter Banks and Orthonormal Wavelets," 1994.