复数FIR滤波器椭圆误差约束最小二乘设计  

Least square design of complex finite impulse response filter with elliptic error constraint

作　　者：张少蔚[1] 徐东[2] 袁博[2] 赖晓平[2,1] 

机构地区：[1]山东大学威海分校信息工程学院,山东威海264209 [2]杭州电子科技大学信息与控制研究所,浙江杭州310018

出　　处：《浙江大学学报（工学版）》2010年第7期1338-1342,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(60974102);国家“973”重点基础研究发展规划资助项目(2009CB320600);浙江省自然科学基金资助项目(Y1090109)

摘　　要：针对非线性相位有限冲击响应(FIR)滤波器的优化设计问题,提出一种频率响应误差和相位误差约束的最小二乘方法,既能独立控制幅值误差和相位误差,又能形成凸的约束区域.采用S形相位误差上界函数,不仅将相位误差控制在给定范围,而且有效减小了滤波器的群延迟误差,但增大了幅值逼近误差.为了减小幅值逼近误差,应用椭圆形的复数误差约束来代替通带上的圆形频率响应误差约束,研究基于椭圆复数误差约束及S形相位误差上界函数的复系数FIR滤波器加权最小二乘设计.仿真结果表明,应用椭圆形的复数误差约束能够有效减小滤波器的幅值逼近误差.A frequency response error and phase error constrained least square method was proposed for the optimal design of nonlinear phase finite impulse response（FIR） filter.The method can control the magnitude error and the phase error independently,and results in the convex feasible domain.By using the sigmoid phase-error upper-bound function,the phase error was controlled within the specified value,and the group-delay error was greatly reduced,but the magnitude error generally increased.The elliptic complex-error constraints were introduced to constrain the complex frequency response of the filter in order to decrease the magnitude error.Then the weighted least square design of the complex FIR filter was considered with the elliptic complex-error canstraints and the sigmoid phase-error upper bound.Simulation results show that the magnitude error can be effectively reduced.

关 键 词：复系数有限冲击响应滤波器 频率响应误差 幅值误差 相位误差 群延迟误差 

分 类 号：TN911.72[电子电信—通信与信息系统]