DocumentCode :
1163943
Title :
A Limitation of the Series-Parallel Structure
Author :
Fialkow, Aaron D.
Volume :
15
Issue :
2
fYear :
1968
fDate :
6/1/1968 12:00:00 AM
Firstpage :
124
Lastpage :
132
Abstract :
This paper disproves Darlington\´s conjecture that every RC -grounded two-port is equivalent to a series-parallel two-port. The proof depends upon the construction of a counterexample. This counterexample is a six-node RC -grounded two-port, whose admittance functions Y_{11} = N_{11}/D, -Y_{12} = N_{12}/D, Y_{22} = N_{22}/D, written without common factors, have compact poles at the zeros of D and for which N_{12} has a negative coefficient. In accordance with properties of RC series-parallel networks derived in an earlier paper, the network of the counterexample cannot be equivalent to any RC series-parallel two-port.
Keywords :
Darlington´s conjecture; Two-ports; Admittance; Capacitance; Equations; Frequency; Helium; Impedance; Inductance; Network synthesis; Poles and zeros; Transfer functions;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1968.1082803
Filename :
1082803
Link To Document :
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