DFT相位估计算法及噪声敏感频率问题分析

DFT Phase Estimation Algorithm and Noise Sensitive Frequency Region

该文利用参数估计方差最小为优化准则,计算出多频正弦信号分段WDFT(Windowed-DFT)相位加权平均相位估计算法的最优加权系数,并给出算法相位估计的方差公式。另外,该文对DFT"噪声敏感"频率区域问题进行了详细的理论分析。计算机仿真证明了算法的有效性和理论分析的正确性。

Using the principle of minimum variance, this paper computes the optimal weight coefficients tor the phase estimation algorithm of the multi-frequencies signal, which is based on the phase weighted average of the partitions windowed-DFT. The variance formula of the estimator is derived. In addition, the issue of the DFT ＂noise sensitive frequency region＂ is precisely analyzed. Simulation results show the effectiveness of the algorithm and the rightness of the analysis.