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
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