Linear-phase biorthogonal wavelet function with arbitrary regularity

Hiromichi Yasuoka, Yuuji Sakamoto, Masaaki Ikehara

Research output: Contribution to journalArticle

Abstract

A method of derivation is proposed for the linear-phase biorthogonal wavelet functions with an arbitrary regularity. The method is based on the finite impulse response (FIR) half-band digital filter. In this method, the flat response is added to the filter composing the wavelet function. Following this, the regularity condition for the function is considered, and the amplitude square-error is used as the evaluation function. Lastly, some design examples are presented for the linear-phase wavelet function derived by the proposed method.

Original languageEnglish
Pages (from-to)30-40
Number of pages11
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume78
Issue number6
Publication statusPublished - 1995 Jun

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Function evaluation
Digital filters
Impulse response

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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title = "Linear-phase biorthogonal wavelet function with arbitrary regularity",
abstract = "A method of derivation is proposed for the linear-phase biorthogonal wavelet functions with an arbitrary regularity. The method is based on the finite impulse response (FIR) half-band digital filter. In this method, the flat response is added to the filter composing the wavelet function. Following this, the regularity condition for the function is considered, and the amplitude square-error is used as the evaluation function. Lastly, some design examples are presented for the linear-phase wavelet function derived by the proposed method.",
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AB - A method of derivation is proposed for the linear-phase biorthogonal wavelet functions with an arbitrary regularity. The method is based on the finite impulse response (FIR) half-band digital filter. In this method, the flat response is added to the filter composing the wavelet function. Following this, the regularity condition for the function is considered, and the amplitude square-error is used as the evaluation function. Lastly, some design examples are presented for the linear-phase wavelet function derived by the proposed method.

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