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Classes of 4-pole networks having non-linear transfer characteristics but linear iterative impedances

 

作者: E. ColinCherry,  

 

期刊: Proceedings of the IEE - Part B: Electronic and Communication Engineering  (IET Available online 1960)
卷期: Volume 107, issue 31  

页码: 26-30

 

年代: 1960

 

DOI:10.1049/pi-b-2.1960.0068

 

出版商: IEE

 

数据来源: IET

 

摘要:

The conventional representation of an electric circuit as a pattern of branches, nodes and meshes (topological graph) is historic. The less familiar representation as a set of contiguous rectangles, proposed by the author1in 1951 from a suggestion made by Hering2(1927), has many conceptual advantages;*not only does it represent the network pattern topologically but it displays other physical properties: the dual of the circuit is included; the element energies and co-energies (energy duals) are shown; current and voltage magnitudes are represented, etc. This rectangle representation of a planar circuit is briefly reviewed and its special application to non-linear circuits is explained.From simple geometrical symmetry of the rectangle diagrams it becomes immediately obvious that iterative structures (lattices, bridged-T, etc.) may be constructed from dual non-linear resistive elements having linear iterative impedances. If these can be constructed practically, they might be connected in cascade, without mutual interaction, as non-linear equalizers analogous to Zobel's constant-resistance phase-equalizers.The analogy to Zobel's networks is shown to be surprisingly complete, though the author can yet find no physical relation between these and the present non-linear networks.

 

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