Theory of Networks of Linearly Variable Resistances
- 1 February 1958
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IRE
- Vol. 46 (2) , 486-493
- https://doi.org/10.1109/jrproc.1958.286921
Abstract
A network theory is derived for circuits constructed of linear rheostats driven from a common input shaft. A correspondence between these networks and RL networks is used to demonstrate that driving point impedances and transfer functions are real rational fractions in a real variable, the input shaft rotation. Requirements on the pole-zero characteristics of these functions are established. Methods for developing functions approximating a given input-output relation in physically realizable form are discussed. Modern methods of transfer-function realization can be applied to these fractions to synthesize the physical networks. Networks for sine and log transfer functions obtained by the technique are presented.Keywords
This publication has 2 references indexed in Scilit:
- Concavity of Resistance FunctionsJournal of Applied Physics, 1956
- The Synthesis of Resistor-Capacitor NetworksProceedings of the IRE, 1950