Computational Analysis of Butterworth and Chebyshev-I Filters Using Bilinear Transformation

Abstract

Due to the intense demands in advanced telecommunications during the last fifteen years for both higher spectrum band and better accuracy, the digital Infinite Impulse Response (IIR) filter has emerged as the basic component in both digital telecommunication and Digital Signal Processing (DSP) systems. In our research work reported in this paper we conducted meticulous investigation using computer simulation of the digital Infinite Impulse Response (IIR) filter to implement the Butterworth and Chebyshev I procedure with bilinear transformation algorithm aimed at both statistical analysis and computer simulation. Our simulation results reveal the comparative accuracy between digital filters and analog filters of the spectrum response in: i) absolute magnitude, ii) the magnitude in decibels (dB) and iii) phase. Conversely the filter selectivity and gain in decibel scale were numerically obtained.