ANALYSIS OF FINITE TOLERANCE EFFECT OF CRITICAL POLE ON CHARACTERISTICS OF SELECTIVE RC ACTIVE SPECIAL GEGENBAUER FILTERS

摘要

A precise analytical method for finding the explicit expression for thecharacteristic function of special Gegenbauer filters applicable to the design of RCactive filters is suggested in this paper. The adverse parasite effects of limited finitegain-bandwidth product of operational amplifiers are decreased by using filters withthe low pass-band attenuation. The new class of continual filter functions generated byanalytical method by extremal Christoffel-Darboux formula for orthogonal Gegenbauerpolynomials has two parameters. One is the filter order, n, and the second one is realfree parameter, v, which provides a wide range of the amplitude responses. In thispaper, a detailed analysis of attenuation and insertion loss in the bandwidth andaround the stop-band cut-off frequency, ?cs, are carried out using 3D plots and usingexamples of the effect of finite tolerance of quality factor module, Q, of criticalconjugate-complex poles of considered RC active filter functions.