Title :
Balanced multiwavelets with short filters
Author :
Lian, Jian-Ao ; Chui, Charles K.
Author_Institution :
Dept. of Math., Prairie View A&M Univ., TX, USA
Abstract :
In a recent work, Selesnick constructed two GHM-like scaling function vectors of dimension two that allow balanced multiwavelet decomposition. In this letter, we construct such multiwavelets and give the corresponding decomposition/reconstruction filters. Symmetry and/or antisymmetry are achieved and filterbank shifts are investigated. The fundamental tools for the study of this problem area are presented in the second and third sections for completeness.
Keywords :
FIR filters; channel bank filters; linear phase filters; vectors; wavelet transforms; Selesnick GHM-like scaling function vectors; balanced multiwavelet decomposition; compactly supported function; filterbank shifts; interbank shifts; orthonormality; reconstruction filters; short filters; Computer science; Digital filters; Equations; Filter bank; Finite impulse response filter; Mathematics; Nonlinear filters; Polynomials; Statistics; Vectors;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2003.819854
