Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (7): 85-88.

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Frequency estimation algorithm based on spectrum fusion among multi-section signals with same frequency and length

SHEN Yanlin1, TU Yaqing1, SU Dan1, WANG Hui2   

  1. 1.Department of Information Engineering, Logistical Engineering University, Chongqing 401311, China
    2.Department of Business Administration, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Online:2014-04-01 Published:2014-04-25

频率估计的一种多段同频等长信号频谱融合法

沈艳林1,涂亚庆1,苏  丹1,王  慧2   

  1. 1.后勤工程学院 信息工程系,重庆 401311
    2.重庆邮电大学 工商管理系,重庆 400065

Abstract: To improve the precision of frequency estimation of signals and extend the application of existing methods, a frequency estimation algorithm for multi-section signals with the same frequency and length based on spectrum fusion is proposed. Firstly, a phase-difference compensating factor is designed to overcome phase discontinuity among different sections of signals and obtain the spectrum for continuous signals. Secondly, a search-frequency array is generated to modify unknown parameters in the phase-difference compensating factor and corrected spectra are gained by the compensated spectra of signals. Thirdly, the spectrum correlation sequence is calculated according to extracted cumulative spectrum and corrected spectra, search its maximum and the corresponding frequency is estimated frequency value. Numerical simulated experimental results demonstrate root mean square error of the proposed algorithm is between 1/4 and 2/3 of existing methods, and its estimation precision approaches Cramer—Rao lower bound.

Key words: frequency estimation, spectrum fusion, multi-section signals with the same frequency and length

摘要: 为提高信号频率估计精度和现有方法的普适性,提出一种基于频谱融合的多段同频等长信号的频率估计算法。设计相位差补偿因子克服分段信号相位不连续问题,以达到相位连续信号的频谱分析效果;建立搜索频率序列修正相位差补偿因子中的未知参数,并对分段信号频谱进行相位差补偿得到修正频谱矩阵;通过累积频谱抽取谱和修正频谱计算频谱相关序列并搜索最大值,其对应搜索频率即为该算法的频率估计值。数值仿真实验表明,基于该算法频率估计的均方根误差约为现有方法的1/4~2/3,较为接近Cramer-Rao下限。

关键词: 频率估计, 频谱融合, 多段同频等长信号