Unifikovana teorija sinteze i postupak projektovanja polinomskih filtara sa granično monotonom karakteristikom

Abstract

The synthesis of critical monotonic low-pass amplitude characteristics(CMAC) is the subject of analysis and research presented in the dissertation. Several new considerations related to the contributions to the development of synthesis have been presented in order to: facilitate the choice of the proper transfer function, allow cataloguing the transfer functions, simplify the circuit synthesis procedure, and perform synthesis in the form of a state variable continuous time active filter. In the process of synthesis four main criteria for transfer function synthesis have been implemented: maximally flat at the origin, maximum slope at the band-edge, maximal asymptotic attenuation, and minimal amplitude distortion in the pass-band. For every criterion a class of filter are generated and the coefficients of the transfer functions and are published for the first time. The properties of the generated classes filters which are generated in that way have been quantitatively compared for the first time. The „state-variable“ structure filters are exposed as the one way of the systematic and simplest synthesis procedure of CMAC filters. The procedure has been explained and the design process are exemplified. Statistical tolerance analysis have been performed for the example solutions in order to complete the picture for comparison.