Junction Matrix Approach to the Study of Multi-Variable Positive Real Matrices
Summary :
This paper presents a method for the study of multivariable positive real rational matrices. The method is based on the following two items.
(i) Each port of the network can be represented by a specific element and this element identifies the port conversely.
(ii) A Hurwitz polynomial which corresponds to a given multi-variable positive real rational matrix in a one-to-one manner can be found.
In short, the followings are shown in this paper.
1) The well defined Hurwitz polynomial corresponds to a given n-variable reactance scattering (or paraunitary) m
2) The concept of
3) If each element of network is of different kind, no degeneration can occur.
4) For the realization of more than three-variable reactance function, it is generally necessary to degree-up the given immittance function.
5) For the practical realization of two-variable reactance function, it is not always convenient to apply directly the method which is used for the proof of realizability. Here, a new practical realization method for two-variable reactance functions based on junction matrix approach, is presented. The new method needs neither factorization nor degree-up operation.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E61-E No.10 pp.788-795
- Publication Date
- 1978/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Circuit Theory
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Shun-ichi OKABE, Hiroshi OZAKI, "Junction Matrix Approach to the Study of Multi-Variable Positive Real Matrices" in IEICE TRANSACTIONS on transactions,
vol. E61-E, no. 10, pp. 788-795, October 1978, doi: .
Abstract: This paper presents a method for the study of multivariable positive real rational matrices. The method is based on the following two items.
(i) Each port of the network can be represented by a specific element and this element identifies the port conversely.
(ii) A Hurwitz polynomial which corresponds to a given multi-variable positive real rational matrix in a one-to-one manner can be found.
In short, the followings are shown in this paper.
1) The well defined Hurwitz polynomial corresponds to a given n-variable reactance scattering (or paraunitary) m
2) The concept of
3) If each element of network is of different kind, no degeneration can occur.
4) For the realization of more than three-variable reactance function, it is generally necessary to degree-up the given immittance function.
5) For the practical realization of two-variable reactance function, it is not always convenient to apply directly the method which is used for the proof of realizability. Here, a new practical realization method for two-variable reactance functions based on junction matrix approach, is presented. The new method needs neither factorization nor degree-up operation.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e61-e_10_788/_p
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@ARTICLE{e61-e_10_788,
author={Shun-ichi OKABE, Hiroshi OZAKI, },
journal={IEICE TRANSACTIONS on transactions},
title={Junction Matrix Approach to the Study of Multi-Variable Positive Real Matrices},
year={1978},
volume={E61-E},
number={10},
pages={788-795},
abstract={This paper presents a method for the study of multivariable positive real rational matrices. The method is based on the following two items.
(i) Each port of the network can be represented by a specific element and this element identifies the port conversely.
(ii) A Hurwitz polynomial which corresponds to a given multi-variable positive real rational matrix in a one-to-one manner can be found.
In short, the followings are shown in this paper.
1) The well defined Hurwitz polynomial corresponds to a given n-variable reactance scattering (or paraunitary) m
2) The concept of
3) If each element of network is of different kind, no degeneration can occur.
4) For the realization of more than three-variable reactance function, it is generally necessary to degree-up the given immittance function.
5) For the practical realization of two-variable reactance function, it is not always convenient to apply directly the method which is used for the proof of realizability. Here, a new practical realization method for two-variable reactance functions based on junction matrix approach, is presented. The new method needs neither factorization nor degree-up operation.
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - Junction Matrix Approach to the Study of Multi-Variable Positive Real Matrices
T2 - IEICE TRANSACTIONS on transactions
SP - 788
EP - 795
AU - Shun-ichi OKABE
AU - Hiroshi OZAKI
PY - 1978
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E61-E
IS - 10
JA - IEICE TRANSACTIONS on transactions
Y1 - October 1978
AB - This paper presents a method for the study of multivariable positive real rational matrices. The method is based on the following two items.
(i) Each port of the network can be represented by a specific element and this element identifies the port conversely.
(ii) A Hurwitz polynomial which corresponds to a given multi-variable positive real rational matrix in a one-to-one manner can be found.
In short, the followings are shown in this paper.
1) The well defined Hurwitz polynomial corresponds to a given n-variable reactance scattering (or paraunitary) m
2) The concept of
3) If each element of network is of different kind, no degeneration can occur.
4) For the realization of more than three-variable reactance function, it is generally necessary to degree-up the given immittance function.
5) For the practical realization of two-variable reactance function, it is not always convenient to apply directly the method which is used for the proof of realizability. Here, a new practical realization method for two-variable reactance functions based on junction matrix approach, is presented. The new method needs neither factorization nor degree-up operation.
ER -
English
