DocumentCode :
1379777
Title :
Basic concepts of multidimensional space filters
Author :
Kron, Gabriel
Author_Institution :
General Electric Company, Schenectady, N. Y.
Volume :
78
Issue :
5
fYear :
1959
Firstpage :
554
Lastpage :
561
Abstract :
The conventional electric network, consisting of linear or one-dimensional RLC (resistance-inductance-capacitance) elements, may be generalized by adding to it planar-, cubic-, etc., up to k-dimensional RLC elements. The resultant geometrical configuration of 0-, 1-, 2-¿ to k-dimensional spatial networks interconnected into one structure is called, in combinatorial topology, a ¿polyhedron.¿ Its electric-network realization may be called a ¿wave model.¿ The electromagnetic structure formed by interconnecting two or more wave models into one network, will be called a ¿multidimensional space filter.¿ The latter is expected to be employed eventually for the theoretical and perhaps practical solution of such physical problems for which the conventional linear (one-dimensional) electric filter is used today, on a much more elaborate multidimensional scale, of course. A single polyhedron is expected to be used in the numerical solution of simpler multidimensional problems of the calculus of finite differences, having nonuniform space intervals.
Keywords :
Equations; Filtering theory; Integrated circuit interconnections; Junctions; Mathematical model; Transmission line matrix methods; Vectors;
fLanguage :
English
Journal_Title :
American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the
Publisher :
ieee
ISSN :
0097-2452
Type :
jour
DOI :
10.1109/TCE.1959.6372861
Filename :
6372861
Link To Document :
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