Development of Cad Formulas of Integrated Circuit Components- Fuzzy Em Formulation Followed By Rigorous Derivation

Abstract

Abstract This development starts from a simplified (fuzzy) formulation and continues with derivations leading to desired CAD formulas of practical circuit components. Because of the simplification at the beginning, the derivation and the formula can be rigorous but remain simple at the same time. Simplification is applied only once still, at the beginning of the derivation. Therefore the error resulted is not larger than that of regular methods, analytical or numerical (average error: 2%). Examples of simple and insightful CAD formulas are given in this paper. For the CAD formulas of more complicated structures, a bootstrapping process in the formulation is introduced.