基于二阶锥优化的FIR滤波器设计  

Design of FIR Filter of Arbitrary Magnitude and Phase Response Via Second-Order Cone Programming

作　　者：张欣[1] 郭维波[1] 叶灵伟[1] 

机构地区：[1]海军航空工程学院青岛分院,山东青岛266041

出　　处：《青岛大学学报（工程技术版）》2007年第2期65-68,共4页Journal of Qingdao University(Engineering & Technology Edition)

摘　　要：提出了一种任意频率响应FIR滤波器的快速精确设计方法。采用使设计出的FIR滤波器频率响应与期望频率响应之间误差的加权l2范数最小的准则,将问题转化成二阶锥约束优化的问题,然后利用内点方法来求解滤波器的优化系数。通过仿真结果发现,与LMS自适应滤波器设计方法相比较,利用本文方法设计的任意频率响应FIR滤波器精度更高。The algorithms for the design of Finite-impulse response （FIR） filters with arbitrary magnitude and phase responses are developed using second-order cone programming. The designed filters can be computed by minimizing the weighted l2-norm of frequency domain response error between the designed filter and the prescribed one respectively. This design problem can be formulated as the so-called second-order cone （SOC） programming and solved efficiently using the well-established interior point method. Compared with the LMS adaptive filter design method, the simulation results show the effectiveness of the method developed in this paper.

关 键 词：FIR 滤波器设计 任意频率响应 二阶锥优化 

分 类 号：TN713[电子电信—电路与系统]