A new method for design of the three-way crossover networks

In this paper, a new crossover network method with trigonometric identities and Bernstein polynomial is presented. The important property of three-way crossover network, which is given by the trigonometric identity ((sin² θ + cos² θ)² = 1) has the flat magnitude responses. The design procedure begins with trigonometric identities after that it is efficiently implemented with Bernstein polynomial. As it is known that the Bernstein filter has flexible parameters to adjust the circuit performance for the best results. For example, it has a MAXFLAT magnitude both the pass band and stop band, the phase is linear, the group delay is constant. Moreover, there are three parameters (n, k, ε) that affect the magnitude and phase characteristics. As the results, the proposed three-way crossover network is greatly proved the summation magnitude responses and efficiently to resolve the problem of the loudspeaker system.