On a family of orthonormal scalar wavelets and related balanced multiwavelets

L. Shen; H. H. Tan

doi:10.1109/78.928697

On a family of orthonormal scalar wavelets and related balanced multiwavelets

L. Shen, H. H. Tan

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

For a family of length-4N orthonormal scalar wavelet filters that has been shown to be closely related to symmetric/antisymmetric orthonormal multifilters (SAOMFs), a sufficient and necessary condition is given for their construction. A near-linear criterion is then provided for constructing balanced multiwavelet filters related to these scalar filters. Numerical results are presented to demonstrate the potential usefulness of this criterion.

Original language	English (US)
Pages (from-to)	1447-1453
Number of pages	7
Journal	IEEE Transactions on Signal Processing
Volume	49
Issue number	7
DOIs	https://doi.org/10.1109/78.928697
State	Published - Jul 2001
Externally published	Yes

Keywords

Balanced multifilters
Multiwavelet
Wavelet

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/78.928697

Cite this

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title = "On a family of orthonormal scalar wavelets and related balanced multiwavelets",

abstract = "For a family of length-4N orthonormal scalar wavelet filters that has been shown to be closely related to symmetric/antisymmetric orthonormal multifilters (SAOMFs), a sufficient and necessary condition is given for their construction. A near-linear criterion is then provided for constructing balanced multiwavelet filters related to these scalar filters. Numerical results are presented to demonstrate the potential usefulness of this criterion.",

keywords = "Balanced multifilters, Multiwavelet, Wavelet",

author = "L. Shen and Tan, {H. H.}",

note = "Funding Information: Manuscript received March 24, 2000; revised March 29, 2001. This work was supported by the Centre for Wavelets, Approximation, and Information Processing (CWAIP), which is funded by the National Science and Technology Board and the Ministry of Education under Grant RP960 601/A, and the National University of Singapore. The associate editor coordinating the review of this paper and approving it for publication was Prof. Arnab K. Shaw.",

year = "2001",

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AU - Tan, H. H.

N1 - Funding Information: Manuscript received March 24, 2000; revised March 29, 2001. This work was supported by the Centre for Wavelets, Approximation, and Information Processing (CWAIP), which is funded by the National Science and Technology Board and the Ministry of Education under Grant RP960 601/A, and the National University of Singapore. The associate editor coordinating the review of this paper and approving it for publication was Prof. Arnab K. Shaw.

PY - 2001/7

Y1 - 2001/7

N2 - For a family of length-4N orthonormal scalar wavelet filters that has been shown to be closely related to symmetric/antisymmetric orthonormal multifilters (SAOMFs), a sufficient and necessary condition is given for their construction. A near-linear criterion is then provided for constructing balanced multiwavelet filters related to these scalar filters. Numerical results are presented to demonstrate the potential usefulness of this criterion.

AB - For a family of length-4N orthonormal scalar wavelet filters that has been shown to be closely related to symmetric/antisymmetric orthonormal multifilters (SAOMFs), a sufficient and necessary condition is given for their construction. A near-linear criterion is then provided for constructing balanced multiwavelet filters related to these scalar filters. Numerical results are presented to demonstrate the potential usefulness of this criterion.

KW - Balanced multifilters

KW - Multiwavelet

KW - Wavelet

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JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

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ER -

On a family of orthonormal scalar wavelets and related balanced multiwavelets

Abstract

Keywords

ASJC Scopus subject areas

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