Author ORCID Identifier

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

Publication Title

IEEE Transactions on Circuits and Systems II: Express Briefs

ISSN

15497747

E-ISSN

15583791

Document Type

Article

Abstract

Determinants and cofactors play an important role in getting the circuit responses. Given the Nodal Admittance Matrix (NAM) of a linear circuit, its determinant and cofactors provide all the circuit responses, including the transfer functions, and the poles and zeros. This presentation shows how a matrix determinant and its cofactors are simply obtained through a UaL decomposition of a NAM and any other nonsingular matrix. The UaL decomposition procedure is an alternative to LU factorization but is shown to be simpler, computationally more efficient, and exact within the data size. In fact, the determinant, partial-determinants, and the cofactors are simply constructed during the UaL decomposition process with no extra effort needed. There is no division involved in the UaL process, as there is no division involved in finding determinants. A circuit example is worked out that demonstrates the application of UaL decomposition in finding the circuit transfer functions and responses.

First Page

689

Last Page

693

Publication Date

3-1-2022

DOI

10.1109/TCSII.2021.3108582

Keywords

Cofactors, determinants, linear analog circuits, Nodal/branch analysis, UaL decomposition

Fulltext File with Record

1

Department

Department of Electrical Engineering

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