Theoretical and probability analysis of frequency selective circuits

Abstract

The deviations of the circuit characteristics from their nominal values are random quantities and appear as a result of different destabilizing factors. With designing frequency selective circuits, two mutually connected problems are solved. The one is a study on the possible variations of circuit characteristics with given probability indices for the instability of the characteristics of their elements. The other is to synthesize the circuit and to determine the nominal parameters of its elements considering the requirements for stability of its characteristics. Both problems are solved by the methods of the theory of circuit sensitivity. The paper presents a new approach to theoretical probability analysis of the characteristics of frequency selective circuits depending on the relative changes of their parameters.