DocumentCode :
1183405
Title :
On the canonic cascade synthesis for lossless one-ports
Author :
Cuong, Dao Manh ; Hasler, Martin
Volume :
27
Issue :
2
fYear :
1980
fDate :
2/1/1980 12:00:00 AM
Firstpage :
124
Lastpage :
136
Abstract :
The problem of finding all possible canonic cascade syntheses for lossless one-ports Is considered. Without being able to solve it in general, the following steps in this direction are presented. For the purpose of a systematic search for canonic LC -cells a topological criterion is given which eliminates all nonminimal LC -cells, i.e. those with more elements than is their degree. Another topological criterion serves to detect a large number of minimal LC -cells that are not canonic. On the other hand, in order to prove an LC -cell to be canonic the synthesis problem is divided into a linear and a nonlinear part. A bridged T of degree 4 serves as an example to show how to prove the existence of a solution for the nonlinear equations and how to generate from it a canonic synthesis, using theorems about the linear part. Some of the material is new, some can be found piecewise elsewhere but is reproduced and adapted here for the sake of a unified and coherent presentation. In particular, apart from the bridged T already mentioned, seven different new nontrivial canonic LC -cells are listed.
Keywords :
Cascade networks; Graph theory; LC networks; Network synthesis; One-port networks; Circuit synthesis; Concrete; Feature extraction; Filtering theory; Nonlinear equations; Terminology;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1980.1084785
Filename :
1084785
Link To Document :
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