Design and implementation of linear-phase two-channel perfect reconstruction finite impulse response filter banks with equiripple stopband

Takayuki Nagai, Masaaki Ikehara

Research output: Contribution to journalArticle

Abstract

This paper presents a design and implementation method for the linear phase two-channel perfect reconstruction finite impulse response (FIR) filter banks with arbitrary filter lengths. This method is labeled a weighted Lagrange-Newton method; it is obtained by introducing the least squares weighting function into the Lagrange-Newton method. Filter banks with good stopband attenuation (equiripple stopband) can be designed using this method. Furthermore, a new method is presented that makes the filter banks with a lattice structure using the property of a polyphase component matrix. The filter banks can achieve perfect reconstruction in spite of coefficient quantization.

Original languageEnglish
Pages (from-to)27-36
Number of pages10
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume78
Issue number12
Publication statusPublished - 1995 Dec

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Filter banks
FIR filters
Newton-Raphson method

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper presents a design and implementation method for the linear phase two-channel perfect reconstruction finite impulse response (FIR) filter banks with arbitrary filter lengths. This method is labeled a weighted Lagrange-Newton method; it is obtained by introducing the least squares weighting function into the Lagrange-Newton method. Filter banks with good stopband attenuation (equiripple stopband) can be designed using this method. Furthermore, a new method is presented that makes the filter banks with a lattice structure using the property of a polyphase component matrix. The filter banks can achieve perfect reconstruction in spite of coefficient quantization.",
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