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采用正交基函数构造的自适应滤波器

刘强1,王鑫伟1,陈仁文1,刘琳2   

  1. 1. 南京航空航天大学 智能材料与结构航空科技重点实验室，江苏 南京 210016； 2. 上海航天电子技术研究所，上海 201109

  • 收稿日期:2008-03-07 修回日期:2008-06-19 出版日期:2008-09-27 发布日期:2008-09-27
  • 通信作者: 刘强

Adaptive Filter Using Orthonormal Basis Functions

LIU Qiang 1, WANG Xin-wei 1, CHEN Ren-wen 1, LIU Lin 2

  

  1. 1. Aeronautical Science Key Laboratory for Smart Materials and Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China；2. Shanghai Aerospace Electronic Technology Research Institute, Shanghai 201109, China

  • Received:2008-03-07 Revised:2008-06-19 Online:2008-09-27 Published:2008-09-27
  • Contact: LIU Qiang

被引次数

1

摘要： 针对有限脉冲响应滤波器（FIR）和无限脉冲响应滤波器（IIR）的缺点，该文提出一种正交基自适应滤波器.该滤波器引入正交函数理论，利用系统模型与正交基函数之间的关联，预先获取系统的先验信息，从而兼有FIR和IIR两者的优点.文中给出了正交基滤波算法的计算公式，并分析了正交基滤波器与传统滤波器的异同点，最后对正交基滤波器进行了仿真和实验.结果表明：本文的滤波算法有着较快的收敛速度，无需很长的抽头数就可获得良好的滤波效果.

关键词: 自适应滤波, 正交基函数, 滤波器结构, 滤波算法, 飞机座舱

Abstract: To enhance performance of traditional filters, an improved filter is proposed using orthonormal basis functions. The mathematical orthonormal function is introduced into the structure of filter. Prior information of the system is obtained by mapping the system model to orthonormal basis function. This is different from the present filters. Comparison between traditional filters and the orthogonal filter is made. Computation formulations of the new algorithm are given. Results of numerical simulation and the practical application to aircraft cabin noise rejection indicate that the new filter algorithm has fast convergence and high stability with small number of tap-weight.

Key words: adaptive filtering, orthonormal functions, filter structure, filtering algorithm, aircraft cabin

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