基于全相位谱分析的多频内插迭代频率估计器

摘要

为精确估计多频信号的各成分频率值,提出了基于全相位谱分析的内插迭代估计器.用全相位谱分析替代了传统FFT谱分析,从而减小了各成分之间的谱干扰;探究了全相位离散时间傅里叶变换谱的峰值谱附近的频偏估计机理;利用该机理设计出相应的内插迭代措施,从而增强了估计器的精度.仿真和实际数据分析表明:给定同样数目的多频观测样本,无论是无噪情况还是含噪情况,该估计器比Tsui估计器具有更高的估计精度,故具有较高的应用价值.%To accurately estimate the frequency components of a multiple-frequency signal,an all-phase spectral analysis-based interpolation iterative frequency estimator was proposed. Firstly,the all-phase spectral analysis was used to replace the FFT spectral analysis in this new estimator to reduce inter-spectral component interferences. Secondly,the frequency offset estimation mechanism was explored near the peak position of all-phase discrete time Fourier transformation (apDTFT) spectra. Thirdly,based on this mechanism,the corresponding interpolation and interative measures were designed to improve the accuracy of the proposed estimator. Both simulation results and actual data analysis showed that with the same number of multi-frequency signal observation samples,the proposed estimator has a higher estimation accuracy compared to Tsui estimator,so it is more valuable in application.