A generic synthesis theory and realization conditions for elin filters

Abstract

In this paper, a generic synthesis method of Externally Linear Internally Nonlinear (ELIN) filters is considered. Previously developed theories are summarized and the weak sides of these theories are discussed. Based on the state space synthesis method, an nth order filter synthesis method is developed for ELIN filters. This new theory does not only cover the previously proposed theories but also overcomes their problems. In this paper, static and dynamic constraints associated with these filters are discussed. Prerequisites, necessary conditions and satisfactory conditions are defined. The developed theory gives one to modify system equations of a filter that does not satisfy these conditions. For this process, differential type Class AB filters are preferred. The theory is applied to two examples to verify the validity of the proposed approach.