华南理工大学学报(自然科学版) ›› 2007, Vol. 35 ›› Issue (10): 147-151.

• 创刊五十周年纪念专辑 • 上一篇    下一篇

基于逆积分方程的正弦波频率估计

韦岗 李道远 陈芳炯   

  1. 华南理工大学 电信学院,广东 广州 510640
  • 收稿日期:2007-03-01 出版日期:2007-10-25 发布日期:2007-10-25
  • 通信作者: 韦岗(1963-) ,男,教授,博士生导师,主要从事信息系统研究 E-mail:ecgwei@ scut. edu. cn
  • 作者简介:韦岗(1963-) ,男,教授,博士生导师,主要从事信息系统研究
  • 基金资助:

    国家自然科学基金资助项目(60402014 , 60625101)

Sinusoidal Frequency Estimation ßased on Inversion Integral Equation

Wei Gang  Li Dao-yuan  Chen Fang-jiong   

  1. School of Electronic and Information Engineering , South China Univ. of Tech. , Guangzhou 510640 , Guangdong , China
  • Received:2007-03-01 Online:2007-10-25 Published:2007-10-25
  • Contact: Wei Gang( born in 1963), male,professor , Ph. D.tutor , mainly researches on communication systems. E-mail:ecgwei@ scut. edu. cn
  • About author:Wei Gang( born in 1963), male,professor , Ph. D.tutor , mainly researches on communication systems.
  • Supported by:

    Supported by the National Nature Science Foundation of China (60402014 ,60625101)

摘要: 频率估计算法的普遍问题是计算量大并且在低信噪比时性能较差.文中提出一种基于逆积分方程( Inversion Integral Equation , IIE )的频率估计新算法.首先利用快速傅立叶变换得到频率的粗估计,并从傅立叶变换中提出一个窄带信号建立和、分方程.然后通过对积分方程中参数和特征频率的估计得到最终的频率估计.仿真结果显示文中算法以适中的计算量在低信噪比下达到了较好的性能.

关键词: 频率估计, 积分方程, 特征频率

Abstract:

In traditional frequency estimation algorithms , there exists a general problem arising from the discrepancy between the costly computation and the unsatisfactory performance under low SNRs (Signal-to-Noise Ratios). In order to solve this problem , this paper proposes a new frequency estimation algorithm based on the IIE (Inversion Integral Equation) approach. In this algorithm , FIT (Fast Fourier Transform) is used to roughly estimate the frequency , based on which an IIE is constructed according to the narrow-band signal resulting from FIT. Then , the fine frequency is estimated by calculating the parameters and characteristic frequency of the IIE. Simulated results show that the proposed algorithm is of good performance and moderate computationaI requirement under low SNRs.

Key words: frequency estimation, integral equation, characteristic frequency