Premium
Upper bound on the number of equivalent oscillator‐notch filter circuits: A group theoretic approach
Author(s) -
Raadhakrishnan P.,
Rao B. V.
Publication year - 1990
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490180506
Subject(s) - upper and lower bounds , group (periodic table) , mathematics , electronic circuit , filter (signal processing) , topology (electrical circuits) , band stop filter , combinatorics , control theory (sociology) , mathematical analysis , low pass filter , computer science , physics , quantum mechanics , computer vision , control (management) , artificial intelligence
Abstract It is shown that the problem of synthesizing RC oscillators and notch filters can be reduced to a group theoretic problem of finding isomorphisms. the required group is identified as the Klein group. From this it is also shown that there is a sharp upper bound on the number of new circuits that can be generated from the knowledge of a parent circuit. This bound is independent of the number of branches and internal nodes.