Volume 36 Issue 7
Jul.  2010
Turn off MathJax
Article Contents
Wang Jiqiang, Ou Pan, Zhang Chunxi, et al. Error analysis of frequency estimation algorithm based on frequency offset correction[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(7): 849-852. (in Chinese)
Citation: Wang Jiqiang, Ou Pan, Zhang Chunxi, et al. Error analysis of frequency estimation algorithm based on frequency offset correction[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(7): 849-852. (in Chinese)

Error analysis of frequency estimation algorithm based on frequency offset correction

  • Received Date: 21 May 2009
  • Publish Date: 30 Jul 2010
  • The principle of the frequency estimation algorithm based on frequency offset correction was presented. The computation formula of the frequency estimation-s standard deviation of a complex sinusoidal signal in white Gauss noise was obtained. The value of parameter m was optimized when the data length was  N, The algorithm can reach the minimum standard deviation when  m was the integer closest to  N/3. The Monte Carlo simulation results demonstrate that the algorithm based on frequency offset correction as the integer m is closest to  N/3 has lower standard deviation than the interpolation method with Hanning window and the phase difference method, while retaining a flat profile in the frequency range away from the fast Fourier transforms(FFT) discrete spectral line. The m-optimized algorithm-s standard deviation is less and closer to the Cramer-Rao lower bound(CRLB) than the one as m is the integer closest to N/2 when signal noise ratio(SNR) is higher.

     

  • loading
  • [1] Rife D C,Boorstyn P R.Single tone parameter estimation from discrete-time observations[J].IEEE Trans Info Theory,1974,IT220(5):591-598 [2] 丁康,张晓飞.频谱校正理论的发展[J].振动工程学报,2000,13(1):14-22 Ding Kang,Zhang Xiaofei.Advances in spectrum correction theory[J].Journal of Vibration Engineering,2000,13(1):14-22(in Chinese) [3] 谢明,张晓飞,丁康.频谱分析中相位和频率校正的一种新方法——相位差校正法[J].振动工程学报,1999,12(4):454-459 Xie Ming,Zhang Xiaofei,Ding Kang.A phase difference correction method for phase and frequency correction in spectral analysis[J].Journal of Vibration Engineering,1999,12(4):454-459(in Chinese) [4] 齐国清.利用FFT相位差校正信号频率和初相估计的误差分析[J].数据采集与处理,2003,18(1):7-11 Qi Guoqing.Error analysis of frequency and phase estimations based on phase difference of segmented FFTs[J].Journal of Data Acquisition & Processing,2003,18(1):7-11(in Chinese) [5] 张英龙,刘渝,王旭东.基于频偏校正的正弦波频率估计算法[J].南京航空航天大学学报,2007,39(5):597-600 Zhang Yinglong,Liu Yu,Wang Xudong.Sinusoid frequency estimation method based on frequency offset correcting[J].Journal of Nanjing University of Aeronautics & Astronautics,2007,39(5):597-600(in Chinese) [6] Fitz M P.Further results in the fast estimation of a single frequency[J].IEEE Trans on Commun,1994,42(2/3/4):862-864 [7] Kay S.A fast and accurate single frequency estimator [J].IEEE Trans on ASSP,1989,37(12):1987-1990 [8] 齐国清,吕健.基于自相关函数相位的频率估计方法方差分析[J].大连海事大学学报,2007,33(4):5-9 Qi Guoqing,Lü Jian.Variance analysis on sinusoid frequency estimators based on the argument of the sample autocorrelation function[J].Journal of Dalian Maritime University,2007,33(4):5-9(in Chinese)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(4813) PDF downloads(1860) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return