Upper bound on the number of equivalent oscillator‐notch filter circuits: A group theoretic approach

摘要

AbstractIt is shown that the problem of synthesizingRCoscillators and notch filters can be reduced to a group theoretic problem of finding isomorphisms. the required group is identified as theKlein 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.