Design of Equiripple Minimum Phase FIR Filters with Ripple Ratio Control

Masahiro OKUDA; Masaaki IKEHARA; Shin-ichi TAKAHASHI

doi:10.1093/ietfec/e89-a.3.751

Design of Equiripple Minimum Phase FIR Filters with Ripple Ratio Control

Masahiro OKUDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI

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In this paper, we present a numerical method for the equiripple approximation of minimum phase FIR digital filters. Many methods have been proposed for the design of such filters. Many of them first design a linear phase filter whose length is twice as long, and then factorize the filter to obtain the minimum phase. Although these methods theoretically guarantee its optimality, it is difficult to 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 trial and error to achieve the ratio of the weights exactly. To address this problem, we modifies well-known Parks-McClellan algorithm and make it possible to directly control the ripple ratios. The method iteratively solves a set of linear equations with controlling the ratio of ripples. Using this method, the equiripple solutions are obtained quickly.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.3 pp.751-756

Publication Date: 2006/03/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.3.751

Type of Manuscript: PAPER

Category: Digital Signal Processing

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Masahiro OKUDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI, "Design of Equiripple Minimum Phase FIR Filters with Ripple Ratio Control" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 3, pp. 751-756, March 2006, doi: 10.1093/ietfec/e89-a.3.751.
Abstract: In this paper, we present a numerical method for the equiripple approximation of minimum phase FIR digital filters. Many methods have been proposed for the design of such filters. Many of them first design a linear phase filter whose length is twice as long, and then factorize the filter to obtain the minimum phase. Although these methods theoretically guarantee its optimality, it is difficult to 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 trial and error to achieve the ratio of the weights exactly. To address this problem, we modifies well-known Parks-McClellan algorithm and make it possible to directly control the ripple ratios. The method iteratively solves a set of linear equations with controlling the ratio of ripples. Using this method, the equiripple solutions are obtained quickly.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.3.751/_p

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@ARTICLE{e89-a_3_751,
author={Masahiro OKUDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design of Equiripple Minimum Phase FIR Filters with Ripple Ratio Control},
year={2006},
volume={E89-A},
number={3},
pages={751-756},
abstract={In this paper, we present a numerical method for the equiripple approximation of minimum phase FIR digital filters. Many methods have been proposed for the design of such filters. Many of them first design a linear phase filter whose length is twice as long, and then factorize the filter to obtain the minimum phase. Although these methods theoretically guarantee its optimality, it is difficult to 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 trial and error to achieve the ratio of the weights exactly. To address this problem, we modifies well-known Parks-McClellan algorithm and make it possible to directly control the ripple ratios. The method iteratively solves a set of linear equations with controlling the ratio of ripples. Using this method, the equiripple solutions are obtained quickly.},
keywords={},
doi={10.1093/ietfec/e89-a.3.751},
ISSN={1745-1337},
month={March},}

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TY - JOUR
TI - Design of Equiripple Minimum Phase FIR Filters with Ripple Ratio Control
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 751
EP - 756
AU - Masahiro OKUDA
AU - Masaaki IKEHARA
AU - Shin-ichi TAKAHASHI
PY - 2006
DO - 10.1093/ietfec/e89-a.3.751
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2006
AB - In this paper, we present a numerical method for the equiripple approximation of minimum phase FIR digital filters. Many methods have been proposed for the design of such filters. Many of them first design a linear phase filter whose length is twice as long, and then factorize the filter to obtain the minimum phase. Although these methods theoretically guarantee its optimality, it is difficult to 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 trial and error to achieve the ratio of the weights exactly. To address this problem, we modifies well-known Parks-McClellan algorithm and make it possible to directly control the ripple ratios. The method iteratively solves a set of linear equations with controlling the ratio of ripples. Using this method, the equiripple solutions are obtained quickly.
ER -