SOOCHOW UNIVERSITY本科生毕业论文天UNTOGROWN论文题目R滤波器的设计和实现Design and implementation of IIR filter姓名解舰航指导教师姓名李娟娟学院名称电子信息学院年级/专业2014级信息工程论文提交日期2018年5月苏州大学本科生毕业设计（论文）IIR滤波器的设计和实现摘要目前IIR滤波器的设计方法主要有两种，数模转换法和计算机辅助设计法。数模转化法就是借助模拟滤波器进行设计。先按照数字滤波器的设计指标得到模拟滤波器的系统函数，再通过一定的转换方式将其转换为数字滤波器。而计算机辅助设计法就是将滤波器系数作为要求解的未知数，根据设计指标设联立方程，最后求解得出滤波器系数。在IIR滤波器的设计当中，使用PS0算法能简化步骤。种群中每个粒子的位置都是每一组滤波器系数解，而适应函数则是该系数所代表的滤波器幅频响应和理想滤波器之间的均方差之和。这样适应函数越小，滤波器越接近设计目标。经过多次迭代，我们求得的全局最佳值即是最好的一组滤波器系数。关键词：IIR滤波器，双线性转换法，脉冲响应不变法，巴特沃滋滤波器，粒子群优化算法苏州大学本科生毕业设计（论文）Design and implementation of IIR filterAbstractAt present,there are mainly two methods of IIR filter design,DAC and CAD.Theanalog to digital conversion method is designed by means of analog filter.First,accordingto the design index of the digital filter,the system function of the analog filter is obtained,and then converted to digital filter through a certain conversion mode.The computer aideddesign method is to use the filter coefficient as the unknowns of the required solution,andset up a joint equation according to the design index.Finally,the filter coefficient isobtained.In the design of IIR filter,the PSO algorithm can simplify the steps.The position ofeach particle in the population is the filter coefficient solution for each group,while theadaptive function is the sum of the amplitude frequency response of the filter and the meansquare variance between the ideal filter.The smaller the adaptive function,the closer thefilter is to the design target.After many iterations,the best global value is the best set offilter coefficients.Keywords:IIR filter Bilinear transformation method impulse invariancebutterworth,PSO