Shifted-modified Chebyshev filters

Abstract

This paper introduces a new type of filter approximation method that utilizes shifted-modified Chebyshev filters. Construction of the new filters involves the use of shifted-modified Chebyshev polynomials that are formed using the roots of conventional Chebyshev polynomials. The study also includes 2 tables containing the shifted-modified Chebyshev polynomials and the normalized element values for the low-pass prototype filters up to degree 6. The transducer power gain group delay and impulse and step responses of the proposed filters are compared with those of the Butterworth and Chebyshev filters and a sixth-order filter design example is presented to illustrate the implementation of the new method.