基于频率采样技术的FIR数字滤波器优化设计

Optimization Design of FIR Digital Filter Based on Frequency Sampling Technique

本文提出了一种FIR数字滤波器满意优化设计方法,将滤波器过渡带样本值作为优化变量,通过设计通带、过渡带和阻带性能指标满意度函数和综合满意度函数,构造出满意优化模型,并用本文提出的新量子遗传算法搜索满意解,FIR高通和带阻数字滤波器的设计结果表明,采用满意优化方法设计的FIR滤波器的性能优于传统方法。

In this paper, a satisfactory optimization method (SOM) for designing FIR digital filter is proposed. Samples in transition bands of FIR filters are regarded as optimization variables. By designing performance index satisfactory rate functions of pass bands, transition bands and stop bands and synthetic satisfactory rate function, satisfactory optimization model is constructed. A novel quantum genetic algorithm is also presented to search satisfactory solution. Then, FIR highpass and bandstop digital filters are designed using SOM. Experimental results demonstrate that the performances of the filters designed using SOM are better than that of traditional methods.