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In this paper, we present a numerical method for the equiripple approximation of IIR digital filters. The conventional rational Remez algorithm quickly finds the squared magnitude response of the optimal IIR digital filters, and then by factorizing it the equiripple filter is obtained. Unlike the original Remez algorithm for FIR filters, it is difficult for the rational Remez algorithm to explicitly control the ratio of ripples between different bands. In the conventional lowpass filter design, for example, when different weights are given for its passband and stopband, one needs to iteratively design the filter by manually changing the weights in order to achieve the ratio of the weights exactly. To address this problem, we modify the conventional algorithm and make it possible to directly control the ripple ratio. The method iteratively solves eigenvalue problems with controlling the ripple ratio. Using this method, the equiripple solutions with desired weights are obtained automatically.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.4 pp.1144-1147

- Publication Date
- 2011/04/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E94.A.1144

- Type of Manuscript
- LETTER

- Category
- Digital Signal Processing

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Takao JINNO, Yusuke SAITO, Masahiro OKUDA, "A Study on Weighting Scheme for Rational Remez Algorithm" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 4, pp. 1144-1147, April 2011, doi: 10.1587/transfun.E94.A.1144.

Abstract: In this paper, we present a numerical method for the equiripple approximation of IIR digital filters. The conventional rational Remez algorithm quickly finds the squared magnitude response of the optimal IIR digital filters, and then by factorizing it the equiripple filter is obtained. Unlike the original Remez algorithm for FIR filters, it is difficult for the rational Remez algorithm to explicitly control the ratio of ripples between different bands. In the conventional lowpass filter design, for example, when different weights are given for its passband and stopband, one needs to iteratively design the filter by manually changing the weights in order to achieve the ratio of the weights exactly. To address this problem, we modify the conventional algorithm and make it possible to directly control the ripple ratio. The method iteratively solves eigenvalue problems with controlling the ripple ratio. Using this method, the equiripple solutions with desired weights are obtained automatically.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1144/_p

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@ARTICLE{e94-a_4_1144,

author={Takao JINNO, Yusuke SAITO, Masahiro OKUDA, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={A Study on Weighting Scheme for Rational Remez Algorithm},

year={2011},

volume={E94-A},

number={4},

pages={1144-1147},

abstract={In this paper, we present a numerical method for the equiripple approximation of IIR digital filters. The conventional rational Remez algorithm quickly finds the squared magnitude response of the optimal IIR digital filters, and then by factorizing it the equiripple filter is obtained. Unlike the original Remez algorithm for FIR filters, it is difficult for the rational Remez algorithm to explicitly control the ratio of ripples between different bands. In the conventional lowpass filter design, for example, when different weights are given for its passband and stopband, one needs to iteratively design the filter by manually changing the weights in order to achieve the ratio of the weights exactly. To address this problem, we modify the conventional algorithm and make it possible to directly control the ripple ratio. The method iteratively solves eigenvalue problems with controlling the ripple ratio. Using this method, the equiripple solutions with desired weights are obtained automatically.},

keywords={},

doi={10.1587/transfun.E94.A.1144},

ISSN={1745-1337},

month={April},}

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TY - JOUR

TI - A Study on Weighting Scheme for Rational Remez Algorithm

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1144

EP - 1147

AU - Takao JINNO

AU - Yusuke SAITO

AU - Masahiro OKUDA

PY - 2011

DO - 10.1587/transfun.E94.A.1144

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E94-A

IS - 4

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - April 2011

AB - In this paper, we present a numerical method for the equiripple approximation of IIR digital filters. The conventional rational Remez algorithm quickly finds the squared magnitude response of the optimal IIR digital filters, and then by factorizing it the equiripple filter is obtained. Unlike the original Remez algorithm for FIR filters, it is difficult for the rational Remez algorithm to explicitly control the ratio of ripples between different bands. In the conventional lowpass filter design, for example, when different weights are given for its passband and stopband, one needs to iteratively design the filter by manually changing the weights in order to achieve the ratio of the weights exactly. To address this problem, we modify the conventional algorithm and make it possible to directly control the ripple ratio. The method iteratively solves eigenvalue problems with controlling the ripple ratio. Using this method, the equiripple solutions with desired weights are obtained automatically.

ER -