IEICE TRANSACTIONS on Fundamentals
A Rectangular Weighting Function Approximating Local Phase Error for Designing Equiripple All-Pass IIR Filters
Summary :
In this paper, we propose a rectangular weighting function that can be used in the method of iteratively reweighted least squares (IRWLS) for designing equiripple all-pass IIR filters. The purpose of introducing this weighting function is to improve the convergence performance in the solution of the IRWLS. The height of each rectangle is designed to be equal to the local maximum of each ripple, and the width of each rectangle is designed so that the area of each rectangle becomes equal to the area of each ripple. Here, the ripple is the absolute value of the phase error. We show experimentally that the convergence performance in the solution of the IRWLS can be improved by using the proposed weighting function.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.12 pp.2398-2404
- Publication Date
- 2013/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.2398
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Signal Processing
Authors
Taisaku ISHIWATA
Toho University
Yoshinao SHIRAKI
Toho University
Keyword
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Taisaku ISHIWATA, Yoshinao SHIRAKI, "A Rectangular Weighting Function Approximating Local Phase Error for Designing Equiripple All-Pass IIR Filters" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 12, pp. 2398-2404, December 2013, doi: 10.1587/transfun.E96.A.2398.
Abstract: In this paper, we propose a rectangular weighting function that can be used in the method of iteratively reweighted least squares (IRWLS) for designing equiripple all-pass IIR filters. The purpose of introducing this weighting function is to improve the convergence performance in the solution of the IRWLS. The height of each rectangle is designed to be equal to the local maximum of each ripple, and the width of each rectangle is designed so that the area of each rectangle becomes equal to the area of each ripple. Here, the ripple is the absolute value of the phase error. We show experimentally that the convergence performance in the solution of the IRWLS can be improved by using the proposed weighting function.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.2398/_p
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@ARTICLE{e96-a_12_2398,
author={Taisaku ISHIWATA, Yoshinao SHIRAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Rectangular Weighting Function Approximating Local Phase Error for Designing Equiripple All-Pass IIR Filters},
year={2013},
volume={E96-A},
number={12},
pages={2398-2404},
abstract={In this paper, we propose a rectangular weighting function that can be used in the method of iteratively reweighted least squares (IRWLS) for designing equiripple all-pass IIR filters. The purpose of introducing this weighting function is to improve the convergence performance in the solution of the IRWLS. The height of each rectangle is designed to be equal to the local maximum of each ripple, and the width of each rectangle is designed so that the area of each rectangle becomes equal to the area of each ripple. Here, the ripple is the absolute value of the phase error. We show experimentally that the convergence performance in the solution of the IRWLS can be improved by using the proposed weighting function.},
keywords={},
doi={10.1587/transfun.E96.A.2398},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - A Rectangular Weighting Function Approximating Local Phase Error for Designing Equiripple All-Pass IIR Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2398
EP - 2404
AU - Taisaku ISHIWATA
AU - Yoshinao SHIRAKI
PY - 2013
DO - 10.1587/transfun.E96.A.2398
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2013
AB - In this paper, we propose a rectangular weighting function that can be used in the method of iteratively reweighted least squares (IRWLS) for designing equiripple all-pass IIR filters. The purpose of introducing this weighting function is to improve the convergence performance in the solution of the IRWLS. The height of each rectangle is designed to be equal to the local maximum of each ripple, and the width of each rectangle is designed so that the area of each rectangle becomes equal to the area of each ripple. Here, the ripple is the absolute value of the phase error. We show experimentally that the convergence performance in the solution of the IRWLS can be improved by using the proposed weighting function.
ER -
English
