The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
본 논문에서는 IIR 디지털 필터의 등리플 근사를 위한 수치적 방법을 제시합니다. 기존의 유리 Remez 알고리즘은 최적의 IIR 디지털 필터의 제곱 크기 응답을 신속하게 찾은 다음 이를 인수분해하여 등리플 필터를 얻습니다. FIR 필터에 대한 원래 Remez 알고리즘과 달리 합리적인 Remez 알고리즘은 서로 다른 대역 간의 리플 비율을 명시적으로 제어하기가 어렵습니다. 예를 들어, 기존 저역통과 필터 설계에서는 통과대역과 저지대역에 서로 다른 가중치가 부여되는 경우 가중치의 비율을 정확하게 달성하기 위해 수동으로 가중치를 변경하여 필터를 반복적으로 설계해야 합니다. 이 문제를 해결하기 위해 기존 알고리즘을 수정하여 리플 비율을 직접 제어할 수 있도록 했습니다. 이 방법은 리플 비율을 제어하여 고유치 문제를 반복적으로 해결합니다. 이 방법을 사용하면 원하는 가중치를 갖는 등리플 솔루션이 자동으로 얻어집니다.
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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
부
@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},}
부
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 -