Iterative Design Techniques for All-Pole Dual-Bandpass Filters

Two iterative techniques to design all-pole dual-bandpass filters are presented. The oversized aspect of the problem is highlighted and the system is solved by relaxing a parameter, which ensures the convergence. The proposed methods are based on the Remez algorithm and the match points technique. Both methods are applied to design filters by relaxing either a bandpass edge frequency or a ripple level. Also, two examples are presented and demonstrate the speed and accuracy of the proposed techniques.