An algorithm for the realization of general hybrid matrices for resistive multiports

Author

Roe, Paul

Volume

19

Issue

5

fYear

1972

fDate

9/1/1972 12:00:00 AM

Firstpage

436

Lastpage

443

Abstract

The realization of general hybrid matrices for resistive multiports is a problem which is of particular interest in the time domain synthesis of $RLC$ networks from the state model. The hybrid matrix $H$ can be partitioned in the form $H = \\left[ H_{11} & H_{12} \\ H_{21} & H_{22} \\right]$ . Two cases are discussed in this paper: 1) Realization of networks for which $H_{12}$ is an $E$ -matrix. 2) Realization of networks for which $H_{12}$ is not an $E$ -matrix. In both cases $H_{11}$ and $H_{22}$ can be singular. Necessary and sufficient conditions for the realization of a given matrix as the hybrid matrix of a resistive $N$ -port network are given for the simple case in which $H_{12}$ is an $E$ -matrix. Sufficient conditions are given for the more complicated class of networks for which $E_{12}$ is not an $E$ -matrix. A computer program realization technique is presented for both these classes of networks.

Keywords

Computer-aided circuit design; General analysis and synthesis methods; Resistance networks; State-space methods; n-port networks; Computer networks; Hip; Influenza; Matrix converters; Network synthesis; RLC circuits; Sufficient conditions;

fLanguage

English

Journal_Title

Circuit Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9324

Type

jour

DOI

10.1109/TCT.1972.1083512

Filename

1083512