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Title: Symmetric-Antisymmetric Orthonormal Multiwavelets and Related Scalar Wavelets
Authors: Shen, L. 
Tan, H.H. 
Tham, J.Y. 
Issue Date: May-2000
Citation: Shen, L., Tan, H.H., Tham, J.Y. (2000-05). Symmetric-Antisymmetric Orthonormal Multiwavelets and Related Scalar Wavelets. Applied and Computational Harmonic Analysis 8 (3) : 258-279. ScholarBank@NUS Repository.
Abstract: For compactly supported symmetric-antisymmetric orthonormal multiwavelet systems with multiplicity 2, we first show that any length-2Nmultiwavelet system can be constructed from a length-(2N+1) multiwavelet system and vice versa. Then we present two explicit formulations for the construction of multiwavelet functions directly from their associated multiscaling functions. This is followed by the relationship between these multiscaling functions and the scaling functions of related orthonormal scalar wavelets. Finally, we present two methods for constructing families of symmetric-antisymmetric orthonormal multiwavelet systems via the construction of the related scalar wavelets. © 2000 Academic Press.
Source Title: Applied and Computational Harmonic Analysis
ISSN: 10635203
DOI: 10.1006/acha.1999.0288
Appears in Collections:Staff Publications

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