可变带宽线性相位FIR滤波器的设计和实现  

Design and implementation of linear-phase FIR filter with variable bandwidth

作　　者：吴伟[1] 唐斌[1] 

机构地区：[1]电子科技大学电子工程学院,成都610054

出　　处：《仪器仪表学报》2008年第4期782-786,共5页Chinese Journal of Scientific Instrument

基　　金：国家部级基金资助项目

摘　　要：研究了一种具有稳定相频响应的可变带宽线性相位FIR滤波器的设计和实现。提出了一种基于加权最大误差最小化准则的线性规划方法来设计可变带宽线性相位FIR滤波器。通过利用一种特殊可变滤波器结构,将整个可变带宽滤波器的转移函数表示成定系数线性相位子滤波器的加权线性组合,这里权值直接由带宽所决定。文中基于最大误差最小化准则建立加权误差函数,并利用线性规划方法来求解优化的滤波器系数。该方法避免了复杂的矩阵运算,计算量较小。应用这种滤波器的优点在于只有一个由带宽所决定的可变参数,更新机制简单。仿真实验结果证明了这种可变带宽线性相位FIR滤波器的有效性。This paper studies the phase response is fixed. A the design and implement of linear-phase FIR filter with variable bandwidth whereas linear programming design technique is for designing the variable-bandwidth linear-phase FIR filters in the weighted minimax sense. By using a particular variable filter structure, the overall transfer function of the variable-bandwidth FIR filters is expressed as a weighted linear combination of fixed linearphase subfihers and where the weights are directly determined by the bandwidth. Using a linear programming design technique, the optimal solution is obtained by solving a weighted error function in minimax sense. Such technique can avoid complicated matrix computation and reduce the computational cost. The filters are implemented with the aid of only one variable parameter that is determined by the bandwidth and the updating routine is simple. Design examples are provided to illustrate the validity of the variable-bandwidth linear-phase FIR filter.

关 键 词：线性相位FIR滤波器 可变带宽 线性规划方法 加权最大误差最小化准则 更新机制 

分 类 号：TN957[电子电信—信号与信息处理]