Design and Analysis of FIR, IFIR and IIR Digital FIlter Designs using Eigenfilter Approach

Abstract

The Eigenfilter method for digital filter design involves the computation of filter coefficients as the eigenvector of an appropriate Hermitian matrix by Rayleigh principle. As opposed to the least-squares approach, which requires the computation of a matrix inverse which may be susceptible to numerical inaccuracies, the Eigenfilter method has a much lower design complexity and remains robust even when ill-conditioned matrices are present in the design problem. In this paper, focus is on designing real coefficient FIR and IIR filters having real coefficients and analyzing the magnitude response of various designs with given same specifications with adequate comparisons.