Synthesis Using Distributed RC Networks

1 December 1965

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory

Vol. 12 (4) , 546-554
https://doi.org/10.1109/tct.1965.1082508

Abstract

This paper presents necessary and sufficient conditions for a function to be the driving point impedance of a network composed of uniform RC lines all having the same RC product connected in an arbitrary manner. Foster type realizations are developed for an impedance function satisfying these conditions. Analogous to the vector approach for thesplane analysis of lumped circuits, a method for determining the frequency response of driving point impedance and transfer functions in the P = cosh x1s.R- plane is considered. A transfer function synthesis procedure based upon a ladder realization is developed which is capable of realizing transmission zeros along the real axis of thePplane between+1and- \infty. By locating a zero atP = -11.6using this procedure, a zero can be obtained on thej \omegaaxis of thesplane. The use of lattice networks and negative immittance converters for obtaining complex conjugatePplane poles and zeros is also discussed. Finally, it is pointed out that the foregoing work is applicable to three terminal networks that are both symmetrical and reciprocal. These networks may consist of lumped as well as distributed elements.

Keywords

This publication has 3 references indexed in Scilit:

The Exact Synthesis of Distributed RC Networks
Published by Defense Technical Information Center (DTIC) ,1963
RC Active Networks Using Current Inversion Type Negative Impedance Converters
IRE Transactions on Circuit Theory, 1957
The Synthesis of Resistor-Capacitor Networks
Proceedings of the IRE, 1950