FIR数字滤波器的优化设计

论文编号:ZD371  论文字数:13642,页数:43，有开题报告，任务书，文献综述
 
 摘要：在要求严格线性相位的系统，需要采用FIR数字滤波器。FIR数字滤波器的设计方法有窗函数法，频率采样法以及等波纹逼近法等，其中等波纹逼近法为最优化设计，即Parks-McClellan算法。其原理是应用最大误差最小化准则，使设计的FIR数字滤波器的频域特性与理想滤波器的频域特性的最大误差为最小，并且它的幅度在通带和阻带内具有等波动性，误差在整个频带内均匀分布。MATLAB的Toolbox中有一个remez函数，它实现Parks-McClellan算法，这种算法利用remez交换法和Chebyshev近似理论来设计滤波器，是实际频率响应拟合频率响应达到最优化。
 关键词：FIR数字滤波器   窗函数  MATLAB  Remez函数  Parks-McClellan算法
 
        
 Optimization Design of FIR Digital filter
 
 Abstract：Demand to rigorously enforce the systems of the linear phase place, need to adopt FIR digital filter. The method to design FIR filter have window function algorithm, frequency sample algorithm Parks-McClellan algorithm.Parks-McClellan algorithm as optimization design most among them.. Its principle is to use the greatest error to minimize criterion, make FIR digital filter that design frequency characteristic and ideal filter frequency characteristic greatest error minimum most frequently, make range of it in passband and hinder fluctuation of having etc. in taking, The error is distributed evenly in the whole frequency band. There is a remez function in Toolbox of MATLAB, It realizes Parks-McClellan algorithm, This kind of algorithm utilizes remez to exchange France and Chebyshev and is similar to the theory to design the filter, it is actual frequency that is it fit frequency respond and up to optimizing most to respond.
Keywords: FIR digital filter； Window function； MATLAB； Remez function；
 Parks-McClellan algorithm