The Bernstein filter-a new class of linear phase filter approximation

Abstract

A class of linear phase analog filter approximation based on the Bernstein polynomials is presented. The advantages obtained using this approximation when compared to the Thomson approximation include the fact that the group delay can be varied by varying one of the two parameters available, and in the stopband the magnitude may or may not approach zero as frequency increases. This class of low-pass linear phase transfer functions gives a magnitude which has quasi-maximally flat magnitude. The function has several parameters that allow the function to change the slope in the phase function, the slope in the transition band, the cut-off frequency, and the magnitude value at infinite frequency.<>