Direct Methods for Frequency Filter Performance Analysis

Abstract

Analysis methods based on determining system performance specifications by step response, as well as indirect methods: pole-zero plot, magnitude response and integral analysis methods are applied in automatic control theory for performance estimation of linear systems [1, 2, 3]. However, in many cases the mentioned methods result in crude performance estimation of a linear system (filter) operation. Furthermore, direct methods of linear system performance specifications (settling time, accuracy, overshoot etc.) characterization require a huge amount of calculations being performed. Specification or estimation of signal processing performance criteria are usual tasks in frequency filter analysis. In some cases it is considered to be enough to examine a filter behavior at average statistical parameters of a useful signal and its disturbance. In other cases, for instance for robust filters, it is rather more complicated–one needs to determine the limit of variables for signal processing performance specifications at any possible input signal parameters variation.