This paper presents the design of linear gain equalizer by using Bernstein polynomials including q-Bernstein-Stancu operator and Möbius transformation. This method has the adjustable parameters more than the many types of Bernstein operators, these parameters can use to adjust the important characteristics of a linear gain equalizer for the best result. The simulation results show maximally flat magnitude, non-minimum linear phase and nearly constant delay for both of low-gain and high-gain equalizer. Furthermore, the Mikhailov's criterion has been used to guarantee the stability of desired transfer function.
