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基于二阶锥优化的FIR滤波器设计
引用本文:张欣,郭维波,叶灵伟. 基于二阶锥优化的FIR滤波器设计[J]. 青岛大学学报(工程技术版), 2007, 22(2): 65-68
作者姓名:张欣  郭维波  叶灵伟
作者单位:海军航空工程学院青岛分院,山东,青岛,266041;海军航空工程学院青岛分院,山东,青岛,266041;海军航空工程学院青岛分院,山东,青岛,266041
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。

关 键 词:FIR  滤波器设计  任意频率响应  二阶锥优化
文章编号:1006-9798(2007)02-0065-04
收稿时间:2007-04-17
修稿时间:2007-04-17

Design of FIR Filter of Arbitrary Magnitude and Phase Response Via Second-Order Cone Programming
ZHANG Xin,GUO Wei-bo,YE Ling-wei. Design of FIR Filter of Arbitrary Magnitude and Phase Response Via Second-Order Cone Programming[J]. Journal of Qingdao University(Engineering & Technology Edition), 2007, 22(2): 65-68
Authors:ZHANG Xin  GUO Wei-bo  YE Ling-wei
Affiliation:Qingdao Branch of Navy Aeronautical Engineering Institute, Qingdao 266041, China
Abstract: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.
Keywords:FIR
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