DocumentCode :
1201871
Title :
On the Analysis and Synthesis of Single-Element-Kind Net-works
Author :
Guillemin, E.A.
Volume :
7
Issue :
3
fYear :
1960
fDate :
9/1/1960 12:00:00 AM
Firstpage :
303
Lastpage :
312
Abstract :
This paper presents a method for the realization of a given nth order node conductance (or capacitance or reciprocal inductance) matrix as an (n + 1) -node network with all positive elements and no ideal transformers. The first part establishes simple relations between branch conductances and elements in the given matrix which are assumed to be based upon a linear tree. These relations are analogous to the well-known ones pertinent to a so-called "dominant" matrix based upon the starlike tree. In an analysis problem they enable one to compute a single driving-point or transfer impedance with a minimum of computations. The second part of the paper develops a method whereby one can readily determine whether a given G matrix is based upon a tree (the necessary condition for its realization) and find the pertinent geometrical tree configuration when one exists. Once the latter is established, realization is simple and straightforward. The entire process requires no repeated trials and proceeds toward the desired goal with a minimum of effort.
Keywords :
Equations; Geometry; Helium; Joining processes; Network synthesis; Pattern matching; Symmetric matrices; Topology; Tree graphs; Voltage;
fLanguage :
English
Journal_Title :
Circuit Theory, IRE Transactions on
Publisher :
ieee
ISSN :
0096-2007
Type :
jour
DOI :
10.1109/TCT.1960.1086676
Filename :
1086676
Link To Document :
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