A Transfer Function Model for Ternary Switching Logic Circuits

Ternary switching functions are formulated as transformations over vector spaces resulting in a characterization in the form of a transfer function. Ternary logic constants are modeled as vectors, thus the transfer functions are of the form of matrices that map vectors representing logic network input values to corresponding output vectors. Techniques for determination of the transfer matrix from a logic switching model or directly from a netlist are provided. The use of transfer matrices for logic network simulation are then developed that allow for multiple output responses to be obtained through a single vector-matrix product calculation.