基于前后向子分段和频移补偿的频率与相位联合估计器

发布时间：2018-11-26 18:41

【摘要】：频率估计和相位估计是物理学中的两个基本的测量问题。现有的估计器难以对这两个参数实现高精度的联合测量。为实现联合测量,对已有前后向子分段频率估计器做如下两方面改进:(1)对前、后向子分段快速傅里叶变换(Fast Fourier Transform,FFT)谱峰相位值做平均,获得中心样点的瞬时相位估计;(2)引入频移补偿措施,使得前、后向子分段的峰值谱能量更为集中,增强了估计器抵御噪声的能力,同时提升了估计器的频率和相位估计精度。理论分析和仿真实验表明,该联合估计器性能高于原有前后向子分段估计器和全相位FFT/FFT相位差估计器,对于频率偏离情况,其频率估计方差为克拉美-罗限的4/3倍,其相位估计方差可达到克拉美-罗限。
[Abstract]:Frequency estimation and phase estimation are two basic measurement problems in physics. It is difficult for the existing estimators to achieve high precision joint measurement of these two parameters. In order to realize the joint measurement, two improvements have been made to the existing forward and backward sub-segment frequency estimators: (1) the peak phase values of the forward and backward sub-segment fast Fourier transform (Fast Fourier Transform,FFT) spectra are averaged. The instantaneous phase estimation of the center sample is obtained. (2) the frequency shift compensation is introduced, which makes the peak spectral energy of forward and backward sub-segments more concentrated, enhances the ability of the estimator to resist noise, and improves the frequency and phase estimation accuracy of the estimator. Theoretical analysis and simulation results show that the performance of the joint estimator is higher than that of the original backward sub-segment estimator and the all-phase FFT/FFT phase difference estimator. For frequency deviation, the variance of the joint estimator is 4 / 3 times that of the Cramey-Row limit. The variance of phase estimation can reach the Clamei-Luo limit.
【作者单位】：天津大学电气自动化与信息工程学院;
【基金】：国家自然科学基金(61671012)
【分类号】：TN911.23

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