Simulation and Implication Using a Transfer Function Model for Switching Logic

Transfer functions are concise mathematical models representing the input/output behavior of a system and are widely used in many areas of engineering including system theory and signal analysis. We develop a framework for the construction of transfer function models for digital networks and demonstrate their application in simulation and implication. Rather than using a traditional switching theory model, the transfer functions are defined over vector spaces, H. The derivation of the transfer function is provided and it is applied to logic network simulation and implication.