Separation of Two-Variable Reactance Sections in the Cascade Synthesis of Multi-Variable Positive Real Functions

Hideaki FUJIMOTO; Hiroshi OZAKI

Separation of Two-Variable Reactance Sections in the Cascade Synthesis of Multi-Variable Positive Real Functions

Hideaki FUJIMOTO, Hiroshi OZAKI

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It is well known that networks containing both lumped and distributed elements can be treated by the theory of mpr's (multi-variable positive real functions). In the theories of cascade synthesis so far developed for those mixed networks, it has been emphasized that the value of network functions depend only on one variable at any transmission zero. So that, the component sections were composed of J-element (Jun-element) p_i and its I-element (Inverse-element) p_i¹. However, a certain class of multi-variable transfer functions does generally have transmission zeros depending on a set of several variables. In the present paper, the separation of the sections which produce transmission zeros depending on two variables, are discussed. In the result, the separation of the four reactance sections are discussed. These four sections correspond to A (or B), Richards, Brune and Hazony-Youla sections for one-variable case.

Publication: IEICE TRANSACTIONS on transactions Vol.E61-E No.6 pp.433-440

Publication Date: 1978/06/25

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Type of Manuscript: PAPER

Category: Circuit Theory

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Hideaki FUJIMOTO
Hiroshi OZAKI

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Hideaki FUJIMOTO, Hiroshi OZAKI, "Separation of Two-Variable Reactance Sections in the Cascade Synthesis of Multi-Variable Positive Real Functions" in IEICE TRANSACTIONS on transactions, vol. E61-E, no. 6, pp. 433-440, June 1978, doi: .
Abstract: It is well known that networks containing both lumped and distributed elements can be treated by the theory of mpr's (multi-variable positive real functions). In the theories of cascade synthesis so far developed for those mixed networks, it has been emphasized that the value of network functions depend only on one variable at any transmission zero. So that, the component sections were composed of J-element (Jun-element) p_i and its I-element (Inverse-element) p_i¹. However, a certain class of multi-variable transfer functions does generally have transmission zeros depending on a set of several variables. In the present paper, the separation of the sections which produce transmission zeros depending on two variables, are discussed. In the result, the separation of the four reactance sections are discussed. These four sections correspond to A (or B), Richards, Brune and Hazony-Youla sections for one-variable case.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e61-e_6_433/_p

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@ARTICLE{e61-e_6_433,
author={Hideaki FUJIMOTO, Hiroshi OZAKI, },
journal={IEICE TRANSACTIONS on transactions},
title={Separation of Two-Variable Reactance Sections in the Cascade Synthesis of Multi-Variable Positive Real Functions},
year={1978},
volume={E61-E},
number={6},
pages={433-440},
abstract={It is well known that networks containing both lumped and distributed elements can be treated by the theory of mpr's (multi-variable positive real functions). In the theories of cascade synthesis so far developed for those mixed networks, it has been emphasized that the value of network functions depend only on one variable at any transmission zero. So that, the component sections were composed of J-element (Jun-element) p_i and its I-element (Inverse-element) p_i¹. However, a certain class of multi-variable transfer functions does generally have transmission zeros depending on a set of several variables. In the present paper, the separation of the sections which produce transmission zeros depending on two variables, are discussed. In the result, the separation of the four reactance sections are discussed. These four sections correspond to A (or B), Richards, Brune and Hazony-Youla sections for one-variable case.},
keywords={},
doi={},
ISSN={},
month={June},}

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TY - JOUR
TI - Separation of Two-Variable Reactance Sections in the Cascade Synthesis of Multi-Variable Positive Real Functions
T2 - IEICE TRANSACTIONS on transactions
SP - 433
EP - 440
AU - Hideaki FUJIMOTO
AU - Hiroshi OZAKI
PY - 1978
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E61-E
IS - 6
JA - IEICE TRANSACTIONS on transactions
Y1 - June 1978
AB - It is well known that networks containing both lumped and distributed elements can be treated by the theory of mpr's (multi-variable positive real functions). In the theories of cascade synthesis so far developed for those mixed networks, it has been emphasized that the value of network functions depend only on one variable at any transmission zero. So that, the component sections were composed of J-element (Jun-element) p_i and its I-element (Inverse-element) p_i¹. However, a certain class of multi-variable transfer functions does generally have transmission zeros depending on a set of several variables. In the present paper, the separation of the sections which produce transmission zeros depending on two variables, are discussed. In the result, the separation of the four reactance sections are discussed. These four sections correspond to A (or B), Richards, Brune and Hazony-Youla sections for one-variable case.
ER -