Constrained FIR Filter Design for 2-band Filter Banks and Orthonormal Wavelets

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.

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Conference paper
Keywords
FIR filter banks, orthonormal wavelets, Kuhn-Tucker (KT)
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.

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