Paper
26 October 1999 Balanced multiwavelet bases based on symmetric FIR filters
Author Affiliations +
Abstract
This paper describes a basic difference between multiwavelets and scalar wavelets that explains, without using zero moment properties, why certain complications arise in the implementation of discrete multiwavelet transforms. Assuming one wishes to avoid the use of prefilters in implementing the discrete multiwavelet transform, it is suggested that the behavior of the iterated filter bank associated with a multiwavelet basis of multiplicity r is more fully revealed by an expanded set of r2 scaling functions (phi) i,j. This paper also introduces new K-balanced orthogonal multiwavelet bases based on symmetric FIR filers. The nonlinear design equations arising in this work are solved using Groebner bases. The K-balanced multiwavelet bases based on even- length symmetric FIR filters are shown to be particularly well behaved, as illustrated by special relations they satisfy and by the examples constructed.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ivan W. Selesnick "Balanced multiwavelet bases based on symmetric FIR filters", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366773
Lens.org Logo
CITATIONS
Cited by 3 scholarly publications.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Filtering (signal processing)

Wavelets

Finite impulse response filters

Optical filters

Transform theory

Signal processing

Electronic filtering

RELATED CONTENT


Back to Top