Author ORCID Identifier

Reza Hashemian: https://orcid.org/0000-0002-0028-7078

Publication Title

IEEE Transactions on Circuits and Systems I: Regular Papers

ISSN

15498328

E-ISSN

15580806

Document Type

Article

Abstract

The objective here is to develop a uniform and comprehensive procedure for symbolic analysis of linear circuits using the Sum of the Tree Products (STP) of the circuit. We achieve this goal in two stages. In the first stage a circuit with active devices, such as VCCSs and I/O ports, is changed to a nullor circuit, i.e., to a circuit with only passive components and nullors. The nullor circuit is also partitioned into two parts, a passive circuit and an all-nullor circuit. It is shown that the magnitude of the STP, i.e., the determinant of the NAM, of the circuit is equal to the STP of the passive portion of the circuit, and the sign (0, 1, or -1) of the STP comes from its all-nullor part. Another significant development in this presentation is the replacement of the regular STP methodology with a rather new Admittance Method (AM). It is shown that by doing this the entire two-graph theory for active circuits as well as the use of 2-tree procedures for I/O ports analysis are eliminated. It is these new developments that substantially simplifies the circuit analysis and makes it quite efficient for symbolic representation of transfer functions.

First Page

2819

Last Page

2831

Publication Date

7-1-2022

DOI

10.1109/TCSI.2022.3165152

Keywords

Admittance method, analog circuits, parallel-series operations, sum of tree products, transfer functions

Fulltext File with Record

1

Department

Department of Electrical Engineering

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