An efficient determinant approach to symbolic function generation for analog circuits

A novel matrix approach to automatically generate a transfer function in a symbolic form for analog integrated circuits is presented. The analog integrated circuit under analysis is first changed to a closed system and then its linear equations are formulated by a modified nodal analysis method in a matrix form. A mixed top-down and bottom-up method for determinant calculation is carried out to efficiently obtain the functions of the analog integrated circuit in a symbolic form. Several heuristic rules are applied in the calculation process that further reduces the computation time. The analysis results show the this method is superior to other approaches