数字滤波器性能指标优化中FIR的设计与仿真研究

Study on FIR design and simulation of digital filter performance index optimization

数字滤波器,通俗来讲,就是一种算法或者装置,一般情况下由数字乘法器、加法器和延时单元3部分构成。对数字滤波器的设计方法研究已有20年的历史,目前其正处于稳定发展时期。遗传算法等优化算法的利用,在优化数字滤波器的性能指标以及仿真实现FIR数字滤波器方面进行得如火如荼。这种基于生物界自然选择和进化机制发展的算法具有并行度高、随机、自适应搜索等特点,当前在组合优化、生产调度、自动控制、图像处理、机器学习、数据挖掘等各个方面均有所应用。正如人们所理解的,数字信号处理就是从噪声中寻找有用的信号,恰巧这也是寻找最优解的过程。可以说,在数字滤波器设计方面,遗传算法是一个大胆的尝试。所以,文章针对数字滤波器性能指标优化中FIR的设计与仿真进行了研究。

Digital filter is a kind of algorithm or device in terms of popularity, which is composed of three parts： digital multiplier, adder and the delay unit generally. Study on the design method of digital filter has a history of 20 years, which is currently in a stable development period. The use of genetic algorithm in optimization algorithm for optimal performance index and simulation of FIR digital filter area is developing rapidly. This kind of algorithm based on the development of natural selection and evolution has the advantages of high degree of parallelism, random, adaptive search, etc. Which is currently applied to combination optimization, production scheduling, automatic control, image processing, machine/earning, data mining and other aspects. As we all know, the digital signal processing is to find the useful signal in the noise, which is just the process to find the optimum solution. It can be said that in the design of digital filter, genetic algorithm is a bold attempt. Therefore, the design and simulation of performance index optimization of digital filter in FIR were studied in the article.