频率失配条件的自适应相位差无偏估计方法及性能分析

Unbiased Adaptive Phase Difference Estimation Method in the Presence of Frequency Mismatch and Its Performance Analysis

针对频率失配条件下受噪声影响导致相位差估计精度不高的问题,提出一种频率失配的自适应相位差无偏估计方法,提升相位差估计的精确性和抗噪性.为此,首先通过对两路正弦信号的展开式参数进行自适应估计,利用展开式参数估计值实时计算两路正弦信号的相位差;其次,利用泰勒级数展开式对相位差估计方法进行了估计偏差分析,证明了频率失配条件下所提相位差估计方法的无偏性,并给出了相位差估计方法的稳态性能;最后,给出了不同方法的相位差估计结果,并讨论了各参数对相位差估计的影响,计算结果表明所提方法的有效性与正确性.

For the issue of low accuracy of phase difference estimation affected by the noise under the condition of frequency mismatch,an unbiased adaptive phase difference estimation method in the presence of frequency mismatch is proposed,which could improve the accuracy of phase difference estimation and enhance the ability of anti-noise.Therefore,firstly the expansion parameters of two sinusoidal signals are adaptive estimated,which is used to estimate the phase difference between two sinusoidal signals.Secondly,the deviation analysis of phase difference estimation is carried out by the expansion of Taylor series,the unbiased phase difference estimation with frequency mismatch is proved,and the performance of steady-state for phase difference estimation are also presented.Consequently,the phase difference estimation results of different methods are compared,the effect by different parameters are discussed,and the calculated results are provided to confirm the effectiveness and correctness of the proposed method.