DocumentCode :
1164171
Title :
Edge-Port Conservation in Networks
Author :
Kida, T.
Volume :
15
Issue :
3
fYear :
1968
fDate :
9/1/1968 12:00:00 AM
Firstpage :
274
Lastpage :
276
Abstract :
An operator ![F[e, i]](/images/tex/11006.gif)
defined on 
-port networks is said to satisfy the condition of edge-port conservation if it satisfies ![\\sum_{\\hbox {all the ports}} F[e_{m}, i_{m}] = \\sum_{\\hbox {all the edges}} F[\\upsilon _{k},j_{k}]](/images/tex/11007.gif)
where 
are the voltage and current functions at the 
th port and 
are the voltage and current functions at the 
th edge, respectively. It is shown that an operator satisfies the condition if and only if the operator is additive.
defined on -port networks is said to satisfy the condition of edge-port conservation if it satisfies where are the voltage and current functions at the th port and are the voltage and current functions at the th edge, respectively. It is shown that an operator satisfies the condition if and only if the operator is additive.Keywords :
Edge-port conservation in n-ports; Network topology; n-ports; Circuit synthesis; Equations; Intersymbol interference; Network synthesis; Voltage;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1968.1082827
Filename :
1082827
Link To Document :
