Symbolic passive-RC circuit synthesis by admittance matrix expansion

Author

Haigh, David G. ; Radmore, Paul M.

Author_Institution

Dept of Electr. & Electron. Eng., Imperial Coll., London, UK

fYear

2005

fDate

23-26 May 2005

Firstpage

244

Abstract

We synthesise passive-RC circuits with prescribed voltage or current transfer functions in symbolic form. The approach is based on a pivot-product decomposition of the function to be synthesised, a method of determining pivots from transfer function terms and non-literal expansions for the determinants of admittance matrices. The need to supply the transfer function in symbolic form limits the order of the circuit to fairly low values. The method lays a foundation for the symbolic synthesis of active-RC circuits (Haigh, D.G., ibid., p.248-51).

Keywords

RC circuits; electric admittance; matrix algebra; nonlinear network synthesis; passive networks; transfer functions; active-RC circuits; admittance matrix determinants; admittance matrix expansion; pivot-product decomposition; prescribed current transfer function; prescribed voltage transfer function; symbolic passive-RC circuit synthesis; symbolic synthesis; Admittance; Circuit synthesis; Circuit topology; Educational institutions; Matrix decomposition; Network synthesis; Passive circuits; Symmetric matrices; Transfer functions; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on

Print_ISBN

0-7803-8834-8

Type

conf

DOI

10.1109/ISCAS.2005.1464570

Filename

1464570