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
Dans cet article, nous proposons une méthode de conception de filtres à réponse impulsionnelle infinie (RII) bidimensionnels à dénominateur séparable (filtres RII 2D séparables) par des méthodes de projection successive (SP) en utilisant les critères de stabilité basés sur la matrice du système. Il est généralement connu que les filtres RII 2D séparables sont stables si et seulement si chacun des dénominateurs est stable. Par conséquent, les critères de stabilité des filtres IIR 1D peuvent être utilisés pour les filtres IIR 2D séparables. Les critères de stabilité basés sur la matrice du système sont une condition nécessaire et suffisante pour garantir la stabilité des filtres IIR 1D. Par conséquent, les filtres IIR 2D séparables obtenus par la méthode de conception proposée ont une ondulation d'erreur plus petite que ceux obtenus par la méthode de conception conventionnelle utilisant le critère de stabilité du théorème de Rouche.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copier
Toma MIYATA, Naoyuki AIKAWA, Yasunori SUGITA, Toshinori YOSHIKAWA, "A Design Method for Separable-Denominator 2D IIR Filters with a Necessary and Sufficient Stability Check" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 1, pp. 307-310, January 2009, doi: 10.1587/transfun.E92.A.307.
Abstract: In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using the stability criteria based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. The stability criteria based on the system matrix are a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed design method have a smaller error ripple than those obtained by the conventional design method using the stability criterion of Rouche's theorem.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.307/_p
Copier
@ARTICLE{e92-a_1_307,
author={Toma MIYATA, Naoyuki AIKAWA, Yasunori SUGITA, Toshinori YOSHIKAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Design Method for Separable-Denominator 2D IIR Filters with a Necessary and Sufficient Stability Check},
year={2009},
volume={E92-A},
number={1},
pages={307-310},
abstract={In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using the stability criteria based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. The stability criteria based on the system matrix are a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed design method have a smaller error ripple than those obtained by the conventional design method using the stability criterion of Rouche's theorem.},
keywords={},
doi={10.1587/transfun.E92.A.307},
ISSN={1745-1337},
month={January},}
Copier
TY - JOUR
TI - A Design Method for Separable-Denominator 2D IIR Filters with a Necessary and Sufficient Stability Check
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 307
EP - 310
AU - Toma MIYATA
AU - Naoyuki AIKAWA
AU - Yasunori SUGITA
AU - Toshinori YOSHIKAWA
PY - 2009
DO - 10.1587/transfun.E92.A.307
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2009
AB - In this paper, we propose designing method for separable-denominator two-dimensional Infinite Impulse Response (IIR) filters (separable 2D IIR filters) by Successive Projection (SP) methods using the stability criteria based on the system matrix. It is generally known that separable 2D IIR filters are stable if and only if each of the denominators is stable. Therefore, the stability criteria of 1D IIR filters can be used for separable 2D IIR filters. The stability criteria based on the system matrix are a necessary and sufficient condition to guarantee stability in 1D IIR filters. Therefore, separable 2D IIR filters obtained by the proposed design method have a smaller error ripple than those obtained by the conventional design method using the stability criterion of Rouche's theorem.
ER -