DocumentCode :
1166544
Title :
A vector-space approach to the theory of linear n-port networks
Author :
Corazza, Gian Cairlo ; Longo, Giuseppe ; Someda, Carlo G.
Volume :
17
Issue :
2
fYear :
1970
fDate :
5/1/1970 12:00:00 AM
Firstpage :
168
Lastpage :
174
Abstract :
The theory of linear (active and passive) networks is investigated from a vector-space viewpoint. It is shown that any linear 
-port 
can be associated with a linear operator 
and characterized through the kernel or hyperkernel of . More precisely, may be associated with a whole class of linear operators. Some of the corresponding matrices (that will be called "canonical") allow a unified treatment for the usual matrix descriptions of n-ports. This also provides a new derivation of the rules for the change of external variables in the description of , as well as some results about the connectability of two -port networks.
-port can be associated with a linear operator and characterized through the kernel or hyperkernel of . More precisely, may be associated with a whole class of linear operators. Some of the corresponding matrices (that will be called "canonical") allow a unified treatment for the usual matrix descriptions of n-ports. This also provides a new derivation of the rules for the change of external variables in the description of , as well as some results about the connectability of two -port networks.Keywords :
Circuit theory; Linear networks; Matrix methods; Network analysis; n-port networks; Chromium; Equations; Kernel; Null space; Roentgenium; Vectors;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1970.1083077
Filename :
1083077
Link To Document :
