北京航空航天大学学报 ›› 2011, Vol. 37 ›› Issue (8): 1030-1033,1043.

• 论文 • 上一篇    下一篇

基于自相关及相位差法的高精度频率估计算法

杨德钊, 宋凝芳, 林志立, 欧攀   

  1. 北京航空航天大学 仪器科学与光电工程学院, 北京 100191
  • 收稿日期:2010-04-16 出版日期:2011-08-30 发布日期:2011-09-03
  • 作者简介:杨德钊(1981-),男,山东淄博人,博士生,yangdezhao1234@163.com.
  • 基金资助:

    北京航空航天大学青年创新基金资助项目(911901341)

High-accuracy frequency estimation algorithm based on autocorrelation and phase difference method

Yang Dezhao, Song Ningfang, Lin Zhili, Ou Pan   

  1. School of Instrument Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2010-04-16 Online:2011-08-30 Published:2011-09-03

摘要: 为提高高斯白噪声背景中正弦信号的频率估计精度,对基于自相关运算的频率估计算法的相关长度m进行了推导,得到了m的优化值与信噪比的关系式.当信噪比较高时,m的最优值为N/3(N为信号采样点数);信噪比较低时,m的最优值为N/2.通过对自相关法及分段FFT(Fast Fourier Transforms)相位差法特性的分析,提出了一种性能更优的频率估计综合算法. Monte Carlo仿真实验表明:新算法吸收了两种算法的优点,克服了其不足,在更大的信噪比范围内具有较高的频率估计精度,且计算量也较小.

Abstract: In order to improve the frequency estimation accuracy of sinusoidal signal in white Gaussian noise, the correlation length m of the algorithm based on the autocorrelation operation was derived, and the equation representing the relationship of m and signal-to-noise ratio (SNR) was acquired. Given the data length N, the optimum value of m was N/3 when the SNR was large and it was N/2 when the SNR was small. The performance of segmented-FFT phase difference method and autocorrelation method were analyzed, and a new frequency estimation algorithm was proposed. The Monte Carlo simulation results verify that the new algorithm combines the advantages of the two methods previously mentioned, and avoid the disadvantages of them. It can fetch the highly accurate frequency of a signal in a wide range of SNR, and the computational cost is small.

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