计算机工程 ›› 2014, Vol. 40 ›› Issue (12): 209-213.doi: 10.3969/j.issn.1000-3428.2014.12.039

• 人工智能及识别技术 • 上一篇    下一篇

基于自由搜索算法的数字多频陷波滤波器设计

任伟,曾以成,陈莉,杨丹   

  1. 湘潭大学光电工程系,湖南 湘潭 411105
  • 收稿日期:2013-12-30 修回日期:2014-02-21 出版日期:2014-12-15 发布日期:2015-01-16
  • 作者简介:任 伟(1986-),男,硕士研究生,主研方向:数字信号处理;曾以成,教授、博士、博士生导师;陈 莉、杨 丹,硕士研究生
  • 基金项目:
    国家自然科学基金资助重点项目(61233010)

Design of Digital Multiple Frequency Notch Filter Based on Free Search Algorithm

REN Wei,ZENG Yicheng,CHEN Li,YANG Dan   

  1. Department of Photoelectric Engineering,Xiangtan University,Xiangtan 411105,China
  • Received:2013-12-30 Revised:2014-02-21 Online:2014-12-15 Published:2015-01-16

摘要: 数字多频陷波滤波器的作用是同时处理数字信号中多个特定频率分量。传统设计方法通过级联多个单频陷波系统实现,仅适用于陷波频率间隔较大的情况,且存在频率响应不均匀、过渡带增益不对称以及陷波频率点之间增益难以控制等局限性。为此,以改进的自由搜索算法为基础,提出一种数字多频陷波滤波器的设计方法。通过改进陷波系统结构,约束参数空间,建立优化模型,优化配置极点位置,实现具有稳定特性的数字多频陷波系统。仿真实验结果表明,该设计方法在实现准确陷波的同时,可使得过渡带增益对称且可控,通带内频率响应均匀平稳。

关键词: 多频陷波滤波器, 自由搜索算法, 数字信号, 陷波频率, 优化模型

Abstract: Digital multiple notch filters are applied to process some particular frequencies in a digital signal simultaneously.The traditional design method is realized by cascading a plurality of single frequency notch system,which applies only to the larger notch frequency interval.And there are limitations such as nonuniform frequency response,asymmetrical transition band gain and hard control of gain between the notch frequency points.A novel design approach of digital multiple notch filters is proposed based on Free Search Algorithm(FSA).It improves the system structure to compensate magnitude of transition-band.Through optimal pole placement,this method can realize the optimized design of notch filters with stable characteristics.The effectiveness and practicability of the presented method are verified with simulation experiments.

Key words: multiple frequency notch filter, Free Search Algorithm(FSA), digital signal, notch frequency, optimization model

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