Design of Biorthogonal Filter Banks Composed of Linear Phase IIR Filters

Masahiro OKUDA; Masaaki IKEHARA; Shin-ichi TAKAHASHI

Design of Biorthogonal Filter Banks Composed of Linear Phase IIR Filters

Masahiro OKUDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI

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Since IIR filters have lower computational complexity than FIR filters, some design methods for IIR filter banks have been presented in the recent literatures. Smith et al. have proposed a class of linear phase IIR filter banks. However this method restricts the order of the numerator to be odd and has some drawbacks. In this paper, we present two design methods for linear phase IIR filter banks. One is based on Lagrange-Multiplier method, and optimal IIR filter banks in least squares sense are obtained. In an other approach, IIR filter banks with the maximum number of zeros are derived analytically.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.11 pp.2449-2454

Publication Date: 1998/11/25

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Category: Neural Networks

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Masahiro OKUDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI, "Design of Biorthogonal Filter Banks Composed of Linear Phase IIR Filters" in IEICE TRANSACTIONS on Fundamentals, vol. E81-A, no. 11, pp. 2449-2454, November 1998, doi: .
Abstract: Since IIR filters have lower computational complexity than FIR filters, some design methods for IIR filter banks have been presented in the recent literatures. Smith et al. have proposed a class of linear phase IIR filter banks. However this method restricts the order of the numerator to be odd and has some drawbacks. In this paper, we present two design methods for linear phase IIR filter banks. One is based on Lagrange-Multiplier method, and optimal IIR filter banks in least squares sense are obtained. In an other approach, IIR filter banks with the maximum number of zeros are derived analytically.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e81-a_11_2449/_p

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@ARTICLE{e81-a_11_2449,
author={Masahiro OKUDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design of Biorthogonal Filter Banks Composed of Linear Phase IIR Filters},
year={1998},
volume={E81-A},
number={11},
pages={2449-2454},
abstract={Since IIR filters have lower computational complexity than FIR filters, some design methods for IIR filter banks have been presented in the recent literatures. Smith et al. have proposed a class of linear phase IIR filter banks. However this method restricts the order of the numerator to be odd and has some drawbacks. In this paper, we present two design methods for linear phase IIR filter banks. One is based on Lagrange-Multiplier method, and optimal IIR filter banks in least squares sense are obtained. In an other approach, IIR filter banks with the maximum number of zeros are derived analytically.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - Design of Biorthogonal Filter Banks Composed of Linear Phase IIR Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2449
EP - 2454
AU - Masahiro OKUDA
AU - Masaaki IKEHARA
AU - Shin-ichi TAKAHASHI
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1998
AB - Since IIR filters have lower computational complexity than FIR filters, some design methods for IIR filter banks have been presented in the recent literatures. Smith et al. have proposed a class of linear phase IIR filter banks. However this method restricts the order of the numerator to be odd and has some drawbacks. In this paper, we present two design methods for linear phase IIR filter banks. One is based on Lagrange-Multiplier method, and optimal IIR filter banks in least squares sense are obtained. In an other approach, IIR filter banks with the maximum number of zeros are derived analytically.
ER -