IEICE TRANSACTIONS on Fundamentals
Simultaneous Approximation for Magnitude and Phase Responses of FIR Digital Filters
Summary :
In this paper, we present a new numerical method for the complex approximation of FIR digital filters. Our objective is to design FIR filters with equiripple magnitude and phase errors. The proposed method solves the least squares (LS) problem iteratively. At each iteration, the desired response is updated so as to have an equiripple error. The proposed methods do not require any time-consuming optimization procedure such as the quasi-Newton methods and converge to equiripple solutions quickly. We show some examples to illustrate the advantages of our proposed methods.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.11 pp.2957-2963
- Publication Date
- 2004/11/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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Masahiro OKUDA, Masahiro YOSHIDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI, "Simultaneous Approximation for Magnitude and Phase Responses of FIR Digital Filters" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 11, pp. 2957-2963, November 2004, doi: .
Abstract: In this paper, we present a new numerical method for the complex approximation of FIR digital filters. Our objective is to design FIR filters with equiripple magnitude and phase errors. The proposed method solves the least squares (LS) problem iteratively. At each iteration, the desired response is updated so as to have an equiripple error. The proposed methods do not require any time-consuming optimization procedure such as the quasi-Newton methods and converge to equiripple solutions quickly. We show some examples to illustrate the advantages of our proposed methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_11_2957/_p
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@ARTICLE{e87-a_11_2957,
author={Masahiro OKUDA, Masahiro YOSHIDA, Masaaki IKEHARA, Shin-ichi TAKAHASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Simultaneous Approximation for Magnitude and Phase Responses of FIR Digital Filters},
year={2004},
volume={E87-A},
number={11},
pages={2957-2963},
abstract={In this paper, we present a new numerical method for the complex approximation of FIR digital filters. Our objective is to design FIR filters with equiripple magnitude and phase errors. The proposed method solves the least squares (LS) problem iteratively. At each iteration, the desired response is updated so as to have an equiripple error. The proposed methods do not require any time-consuming optimization procedure such as the quasi-Newton methods and converge to equiripple solutions quickly. We show some examples to illustrate the advantages of our proposed methods.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Simultaneous Approximation for Magnitude and Phase Responses of FIR Digital Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2957
EP - 2963
AU - Masahiro OKUDA
AU - Masahiro YOSHIDA
AU - Masaaki IKEHARA
AU - Shin-ichi TAKAHASHI
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2004
AB - In this paper, we present a new numerical method for the complex approximation of FIR digital filters. Our objective is to design FIR filters with equiripple magnitude and phase errors. The proposed method solves the least squares (LS) problem iteratively. At each iteration, the desired response is updated so as to have an equiripple error. The proposed methods do not require any time-consuming optimization procedure such as the quasi-Newton methods and converge to equiripple solutions quickly. We show some examples to illustrate the advantages of our proposed methods.
ER -
English
