Magnitude and Phase Approximation of IIR Digital Filters Using Linear Programming

Toshiyuki YOSHIDA; Akinori NISHIHARA; Nobuo FUJII

Magnitude and Phase Approximation of IIR Digital Filters Using Linear Programming

Toshiyuki YOSHIDA, Akinori NISHIHARA, Nobuo FUJII

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This paper discusses a new simultaneous design method of both magnitude and phase of IIR digital filters. It is inherently a nonlinear problem to approximate the magnitude and phase of an IIR digital filter simultaneously. In this paper, however, such a nonlinear problem is converted into a linear one by vector rotation method and solved by the linear programming (LP) technique. As a result our method requires no initial guesses for any type of filter specifications. A stable digital filter is designed which approximately satisfies the linearity of the phase in the pass band and the given attenuation in the stop band. The design examples given in this paper shows the usefulness of the proposing method.

Publication: IEICE TRANSACTIONS on transactions Vol.E72-E No.10 pp.1097-1103

Publication Date: 1989/10/25

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Type of Manuscript: PAPER

Category: Digital Signal Processing

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Toshiyuki YOSHIDA
Akinori NISHIHARA
Nobuo FUJII

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Toshiyuki YOSHIDA, Akinori NISHIHARA, Nobuo FUJII, "Magnitude and Phase Approximation of IIR Digital Filters Using Linear Programming" in IEICE TRANSACTIONS on transactions, vol. E72-E, no. 10, pp. 1097-1103, October 1989, doi: .
Abstract: This paper discusses a new simultaneous design method of both magnitude and phase of IIR digital filters. It is inherently a nonlinear problem to approximate the magnitude and phase of an IIR digital filter simultaneously. In this paper, however, such a nonlinear problem is converted into a linear one by vector rotation method and solved by the linear programming (LP) technique. As a result our method requires no initial guesses for any type of filter specifications. A stable digital filter is designed which approximately satisfies the linearity of the phase in the pass band and the given attenuation in the stop band. The design examples given in this paper shows the usefulness of the proposing method.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e72-e_10_1097/_p

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@ARTICLE{e72-e_10_1097,
author={Toshiyuki YOSHIDA, Akinori NISHIHARA, Nobuo FUJII, },
journal={IEICE TRANSACTIONS on transactions},
title={Magnitude and Phase Approximation of IIR Digital Filters Using Linear Programming},
year={1989},
volume={E72-E},
number={10},
pages={1097-1103},
abstract={This paper discusses a new simultaneous design method of both magnitude and phase of IIR digital filters. It is inherently a nonlinear problem to approximate the magnitude and phase of an IIR digital filter simultaneously. In this paper, however, such a nonlinear problem is converted into a linear one by vector rotation method and solved by the linear programming (LP) technique. As a result our method requires no initial guesses for any type of filter specifications. A stable digital filter is designed which approximately satisfies the linearity of the phase in the pass band and the given attenuation in the stop band. The design examples given in this paper shows the usefulness of the proposing method.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - Magnitude and Phase Approximation of IIR Digital Filters Using Linear Programming
T2 - IEICE TRANSACTIONS on transactions
SP - 1097
EP - 1103
AU - Toshiyuki YOSHIDA
AU - Akinori NISHIHARA
AU - Nobuo FUJII
PY - 1989
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E72-E
IS - 10
JA - IEICE TRANSACTIONS on transactions
Y1 - October 1989
AB - This paper discusses a new simultaneous design method of both magnitude and phase of IIR digital filters. It is inherently a nonlinear problem to approximate the magnitude and phase of an IIR digital filter simultaneously. In this paper, however, such a nonlinear problem is converted into a linear one by vector rotation method and solved by the linear programming (LP) technique. As a result our method requires no initial guesses for any type of filter specifications. A stable digital filter is designed which approximately satisfies the linearity of the phase in the pass band and the given attenuation in the stop band. The design examples given in this paper shows the usefulness of the proposing method.
ER -