The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets

Cheng Lin Wen; Li Ping Yan; Fu Na Zhou; Quan Bo Ge

The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets

Cheng Lin Wen^*, Li Ping Yan, Fu Na Zhou, Quan Bo Ge

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this article, we first illustrated the definition of multiscale analysis and dual equation of orthonormal rational wavelet, then using 3/2 sampling rate wavelet as an example, we proposed a method to construct high-pass filter banks from low-pass filter banks. In the end, we deduced the decomposition and the perfect reconstruction formulas.

Original language	English
Title of host publication	International Conference on Machine Learning and Cybernetics
Pages	2168-2172
Number of pages	5
Publication status	Published - 2003
Externally published	Yes
Event	2003 International Conference on Machine Learning and Cybernetics - Xi'an, China Duration: 2 Nov 2003 → 5 Nov 2003

Publication series

Name	International Conference on Machine Learning and Cybernetics
Volume	4

Conference

Conference	2003 International Conference on Machine Learning and Cybernetics
Country/Territory	China
City	Xi'an
Period	2/11/03 → 5/11/03

Keywords

Decomposition
Multiscale analysis
Rational wavelet
Reconstruction

Cite this

Wen, C. L., Yan, L. P., Zhou, F. N., & Ge, Q. B. (2003). The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets. In International Conference on Machine Learning and Cybernetics (pp. 2168-2172). (International Conference on Machine Learning and Cybernetics; Vol. 4).

@inproceedings{836de1a1d58b46cdbad1f6240d1d488b,

title = "The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets",

abstract = "In this article, we first illustrated the definition of multiscale analysis and dual equation of orthonormal rational wavelet, then using 3/2 sampling rate wavelet as an example, we proposed a method to construct high-pass filter banks from low-pass filter banks. In the end, we deduced the decomposition and the perfect reconstruction formulas.",

keywords = "Decomposition, Multiscale analysis, Rational wavelet, Reconstruction",

author = "Wen, {Cheng Lin} and Yan, {Li Ping} and Zhou, {Fu Na} and Ge, {Quan Bo}",

year = "2003",

language = "English",

isbn = "0780378652",

series = "International Conference on Machine Learning and Cybernetics",

pages = "2168--2172",

booktitle = "International Conference on Machine Learning and Cybernetics",

note = "2003 International Conference on Machine Learning and Cybernetics ; Conference date: 02-11-2003 Through 05-11-2003",

}

Wen, CL, Yan, LP, Zhou, FN & Ge, QB 2003, The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets. in International Conference on Machine Learning and Cybernetics. International Conference on Machine Learning and Cybernetics, vol. 4, pp. 2168-2172, 2003 International Conference on Machine Learning and Cybernetics, Xi'an, China, 2/11/03.

The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets. / Wen, Cheng Lin; Yan, Li Ping; Zhou, Fu Na et al.
International Conference on Machine Learning and Cybernetics. 2003. p. 2168-2172 (International Conference on Machine Learning and Cybernetics; Vol. 4).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets

AU - Wen, Cheng Lin

AU - Yan, Li Ping

AU - Zhou, Fu Na

AU - Ge, Quan Bo

PY - 2003

Y1 - 2003

N2 - In this article, we first illustrated the definition of multiscale analysis and dual equation of orthonormal rational wavelet, then using 3/2 sampling rate wavelet as an example, we proposed a method to construct high-pass filter banks from low-pass filter banks. In the end, we deduced the decomposition and the perfect reconstruction formulas.

AB - In this article, we first illustrated the definition of multiscale analysis and dual equation of orthonormal rational wavelet, then using 3/2 sampling rate wavelet as an example, we proposed a method to construct high-pass filter banks from low-pass filter banks. In the end, we deduced the decomposition and the perfect reconstruction formulas.

KW - Decomposition

KW - Multiscale analysis

KW - Rational wavelet

KW - Reconstruction

UR - http://www.scopus.com/inward/record.url?scp=1542345631&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:1542345631

SN - 0780378652

T3 - International Conference on Machine Learning and Cybernetics

SP - 2168

EP - 2172

BT - International Conference on Machine Learning and Cybernetics

T2 - 2003 International Conference on Machine Learning and Cybernetics

Y2 - 2 November 2003 through 5 November 2003

ER -

The exploration of the decomposition and perfect reconstruction formulas of orthonormal rational wavelets

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Keywords

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