Method of Generating Unique Elementary Circuit Topologies Méthode de génération de topologies de circuits élémentaires uniques

Designing analog circuits with new topologies is often very challenging, as it requires not only circuit design expertise but also an intuition of how various elementary circuits may work when put together to form a larger circuit. In this paper, we present a method of generating all functional elementary circuit topologies. This paper uses combinatorics to ensure that all unique circuit topologies are generated and stored in a database. This database contains 582 two-transistor and 56 280 three-transistor functional and unique elementary circuit topologies. It is envisioned that the circuit topologies stored in the database can save design time and assist designers by both offering previously unknown circuit topologies and providing circuit topologies for further optimizations. To give an example of how this vision can be used in practice, a search for all amplifier circuits was conducted that resulted in 5177 circuit topologies, some previously unknown, out of 56 862 three-transistor elementary circuit topologies.