基于插值DFT的正弦信号高精度参数估计方法

采用传统的DFT对正弦信号进行参数估计，估计精度会因频谱泄漏而降低。本文分析了基于插值DFT的对单分量正弦信号参数的精确估计方法。仿真试验表明，采用该方法估计单分量正弦信号参数时为近似无偏估计，估计误差方差接近Crammer-Rao界。在此基础上本文提出了对多分量正弦信号参数进行精确估计的插值DFT方法，该方法能很好地抑制噪声和分量信号间的旁瓣干扰，当各分量信号间不发生主瓣重叠时为近似无偏估计，估计误差方差接近Crammer-Rao界。

High Accuracy Parameter Estimation of Sinusoidal Signals Based on Interpolated DFT Method

Due to the spectral leakage, the parameter estimation of sinusoidal signal based on DFT bears significant errors. This paper analysed the interpolated DFT method to solve this problem. Monte Carlo tests show that this method can improve the estimation accuracy significantly and the variance of parameter estimation is close to the Crammer Rao bound. Then we proposed an interpolated DFT based method to estimate accurately the parameters of multi frequency sinusoidal signals. Computer tests show that this method has a perfect ability to suppress white noise and interference errors.