Some properties of symmetric-antisymmetric orthonormal multiwavelets

Lixin Shen; Hwee Huat Tan; Jo Yew Tham

doi:10.1109/78.847800

Some properties of symmetric-antisymmetric orthonormal multiwavelets

Lixin Shen, Hwee Huat Tan, Jo Yew Tham

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

14 Scopus citations

Abstract

We analyze the discrete multiwavelet transform using symmetric-antisymmetric orthonormal multifilters (SAOMF's) and prove that for any even-length SAOMF, we can always find an odd-length SAOMF such that the implementation of discrete multiwavelet transform using either the even-length or the odd-length SAOMF produces identical output for a given input signal if the sum/difference prefilter is chosen.

Original language	English (US)
Pages (from-to)	2161-2163
Number of pages	3
Journal	IEEE Transactions on Signal Processing
Volume	48
Issue number	7
DOIs	https://doi.org/10.1109/78.847800
State	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/78.847800

Cite this

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title = "Some properties of symmetric-antisymmetric orthonormal multiwavelets",

abstract = "We analyze the discrete multiwavelet transform using symmetric-antisymmetric orthonormal multifilters (SAOMF's) and prove that for any even-length SAOMF, we can always find an odd-length SAOMF such that the implementation of discrete multiwavelet transform using either the even-length or the odd-length SAOMF produces identical output for a given input signal if the sum/difference prefilter is chosen.",

author = "Lixin Shen and Tan, {Hwee Huat} and Tham, {Jo Yew}",

note = "Funding Information: Manuscript received May 12, 1999; revised January 30, 2000. 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. Chin-Liang Wang.",

year = "2000",

doi = "10.1109/78.847800",

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pages = "2161--2163",

journal = "IEEE Transactions on Signal Processing",

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number = "7",

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T1 - Some properties of symmetric-antisymmetric orthonormal multiwavelets

AU - Shen, Lixin

AU - Tan, Hwee Huat

AU - Tham, Jo Yew

N1 - Funding Information: Manuscript received May 12, 1999; revised January 30, 2000. 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. Chin-Liang Wang.

PY - 2000

Y1 - 2000

N2 - We analyze the discrete multiwavelet transform using symmetric-antisymmetric orthonormal multifilters (SAOMF's) and prove that for any even-length SAOMF, we can always find an odd-length SAOMF such that the implementation of discrete multiwavelet transform using either the even-length or the odd-length SAOMF produces identical output for a given input signal if the sum/difference prefilter is chosen.

AB - We analyze the discrete multiwavelet transform using symmetric-antisymmetric orthonormal multifilters (SAOMF's) and prove that for any even-length SAOMF, we can always find an odd-length SAOMF such that the implementation of discrete multiwavelet transform using either the even-length or the odd-length SAOMF produces identical output for a given input signal if the sum/difference prefilter is chosen.

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