Description and Realization of Separable-Denominator Two-Dimensional Transfer Matrix

Naomi HARATANI

Description and Realization of Separable-Denominator Two-Dimensional Transfer Matrix

Naomi HARATANI

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In this paper, a new description of a separable-denominator (S-D) two-dimensional (2-D) transfer matrix is proposed, and its realization is considered. Some of this problem had been considered for the transfer matrices whose elements are two-variables rational functions. We shall propose a 2-D transfer matrix whose inputs-outputs relation is represented by a ratio of two-variables polynomial matrices, and present an algorithm to obtain a 2-D state-space model from it. Next, it is shown that the description proposed in this paper is always minimally realizable. And, we shall present a method of obtaining the description proposed in this paper from a S-D 2-D rational transfer matrix.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.7 pp.806-812

Publication Date: 1992/07/25

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Type of Manuscript: Special Section PAPER (Special Section on Multidimensional Signal Processing)

Category: Multidimensional Signals, Systems and Filters

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Naomi HARATANI, "Description and Realization of Separable-Denominator Two-Dimensional Transfer Matrix" in IEICE TRANSACTIONS on Fundamentals, vol. E75-A, no. 7, pp. 806-812, July 1992, doi: .
Abstract: In this paper, a new description of a separable-denominator (S-D) two-dimensional (2-D) transfer matrix is proposed, and its realization is considered. Some of this problem had been considered for the transfer matrices whose elements are two-variables rational functions. We shall propose a 2-D transfer matrix whose inputs-outputs relation is represented by a ratio of two-variables polynomial matrices, and present an algorithm to obtain a 2-D state-space model from it. Next, it is shown that the description proposed in this paper is always minimally realizable. And, we shall present a method of obtaining the description proposed in this paper from a S-D 2-D rational transfer matrix.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_7_806/_p

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@ARTICLE{e75-a_7_806,
author={Naomi HARATANI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Description and Realization of Separable-Denominator Two-Dimensional Transfer Matrix},
year={1992},
volume={E75-A},
number={7},
pages={806-812},
abstract={In this paper, a new description of a separable-denominator (S-D) two-dimensional (2-D) transfer matrix is proposed, and its realization is considered. Some of this problem had been considered for the transfer matrices whose elements are two-variables rational functions. We shall propose a 2-D transfer matrix whose inputs-outputs relation is represented by a ratio of two-variables polynomial matrices, and present an algorithm to obtain a 2-D state-space model from it. Next, it is shown that the description proposed in this paper is always minimally realizable. And, we shall present a method of obtaining the description proposed in this paper from a S-D 2-D rational transfer matrix.},
keywords={},
doi={},
ISSN={},
month={July},}

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TY - JOUR
TI - Description and Realization of Separable-Denominator Two-Dimensional Transfer Matrix
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 806
EP - 812
AU - Naomi HARATANI
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1992
AB - In this paper, a new description of a separable-denominator (S-D) two-dimensional (2-D) transfer matrix is proposed, and its realization is considered. Some of this problem had been considered for the transfer matrices whose elements are two-variables rational functions. We shall propose a 2-D transfer matrix whose inputs-outputs relation is represented by a ratio of two-variables polynomial matrices, and present an algorithm to obtain a 2-D state-space model from it. Next, it is shown that the description proposed in this paper is always minimally realizable. And, we shall present a method of obtaining the description proposed in this paper from a S-D 2-D rational transfer matrix.
ER -