Synthesis of Some Classes of Multivariable Cascaded Transmission-Line Networks

Author

Shirakawa, Isao ; Takahashi, Hiromitsu ; Ozaki, Hiroshi

Volume

15

Issue

2

fYear

1968

fDate

6/1/1968 12:00:00 AM

Firstpage

138

Lastpage

143

Abstract

Since the concept of multivariable positive real functions was introduced, the synthesis of these functions and matrices, concerning passive networks composed of lumped elements and of lumped and transmission-line elements, has been one of the most interesting problems in the field of circuit theory. This paper considers the synthesis of cascaded transmission-line networks of noncommensurate unit elements with the following structures: 1) a cascade connection of $m$ transmission lines $N_{i} (i= 1, 2, \\cdots ,m)$ in a prescribed order, each $N_{i}$ being a transmission line with open-ended stubs, composed of unit elements of a single variable $p_{i}$ ; 2) a transmission line with open-ended stubs composed of unit elements of $P_{2}$ , connected in cascade between two transmission lines composed of unit elements of $p_{1}$ ; 3) a cascade connection of $m$ transmission lines $N_{i} (i = 1, 2, \\cdots ,m)$ in an arbitrary order, each $N_{i}$ being a transmission line composed of unit elements of $p_{i}$ ; and 4) a transmission line composed of commensurate unit elements with open-ended stubs, partitioned from a multivariable network.

Keywords

Multivariable positive real functions; Transmission-line networks; Admittance; Circuit synthesis; Circuit theory; Distributed parameter circuits; Network synthesis; Passive networks; Propagation losses; Transmission line matrix methods; Transmission line theory; Transmission lines;

fLanguage

English

Journal_Title

Circuit Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9324

Type

jour

DOI

10.1109/TCT.1968.1082788

Filename

1082788