基于免疫算法的IIR数字滤波器优化与实现

摘要

由于IIR数字滤波器设计实质上是一个非线性高维复杂函数优化问题,文中提出基于具有全局搜索能力强,收敛速度快特点的免疫算法实现IIR数字滤波器优化设计的新方法,给出了IIR滤波器优化设计的数学模型,描述了应用免疫算法优化设计IIR数字滤波器的具体实现步骤.通过低通和高通IIR数字滤波器设计的仿真结果表明方法的有效性和高效性.%Based on optimization design for IIR digital filters being a non-linear and high-dimension complex function optimization problem, immune algorithms (IA) , which has the characteristics of more powerful global and rpider convergence is applied on IIR digital filter optimization design in this paper.Firstly, the maths model of IIR digital filter optimization design is proposed. Secondly, the process of optimization design for IIR digital filters on the basis ofIA is described in detail, finally, the validity and effectivenss of the introduced method are demonstrated by experimental results on the lowpass and highpass IIR digital filters.