Multi-criterion satisfactory optimization method for designing FIR digital filters

In this paper, a novel optimization method called multi-criterion satisfactory optimization method (MCSOM) is proposed to design FIR digital filters. The main idea of the method is that multiple criterions can be adjusted easily, according to different requirements of different designers for performances of pass bands, stop bands and transition bands of FIR digital filters. By designing performance specification satisfactory rate functions and synthesis satisfactory rate function of FIR digital filters, satisfactory optimization mathematic model is constructed. The model is characterized by considering satisfactory design of performance specifications and optimization of parameters of FIR digital filters, simultaneously. At the same time, a new quantum genetic algorithm (NQGA) is also proposed to search automatically satisfactory solution in FIR digital filter design in this paper. Rapid convergence and good global search capability characterize the performance of NQGA. The effectiveness, applicability and flexibility of MCSOM based on NQGA are demonstrated by experimental results on the lowpass and bandpass FIR digital filters design. The results show that the introduced method is superior to look-up table method and the method in reference.