Research of Logic Function Synthesis Algorithm Based on Threshold Logic

Threshold Logic Gate (TLG) is receiving much attention because of its logic versatility and functionally complete. For the circuit design based on TLG, a method is described to determine whether a function is threshold or not with the spectral technology. The weights and threshold can be calculated by spectral coefficients. As for non-threshold function, a novel logic synthesis algorithm is proposed, which can transform non-threshold function to the sum of some threshold functions. Furthermore, any Boolean logic function can be realized by a collection of TLG using the method in this paper. Proposed algorithm provides a method for circuit design of resonant tunneling diode.