Low pass filters based on bernstein-balazs operators

Abstract

This paper presents a design of low-pass filter by using Bernstein-Balazs operators. It has more parameters than classical Bernstein polynomials. The parameters and can adjust maximally flat, slope of linear phase and constant of delay. In the results, the proposed method shows the magnitude response has maximally flat, linear with non-minimum phase and nearly constant delay. The example of applications of this proposed method is desired to design the gain equalizer at -1dB and confirm the stability of the approximated transfer function by Mihailov’s criterion.