Multifrequency Pattern Generation Using Group-Symmetric Circuits

This paper explores the use of networked electronic circuits, which have symmetrical properties, for generating patterns with multiple frequencies. Using a simple bistable subcircuit, connected in a network with a specific topology, the principal operating frequencies of the network are divided in to two groups, with one group oscillating at twice the frequency of the other group. Specifically, group-theoretic arguments are used to dictate the particular coupling topology between the unit bi-stable cell. These concepts are demonstrated in a simple and compact CMOS circuit. The circuit is minimalistic, and demonstrates how simple and robust circuits can be used to generate useful patterns.