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为了分析基于自相关函数相位频率估计方法的性能,推导了加性高斯白噪声背景中正弦信号观测数据的相关函数相位噪声的表示式,得到了相位噪声方差的计算公式和基于自相关函数相位的频率估计方差的计算公式,给出了此类频率估计方法的估计方差与信噪比、观测数据长度以及对相关函数相位差进行平滑时利用的相关函数的点数关系.仿真结果与该文给出的公式计算结果吻合很好.
In order to analyze the performance of the phase frequency estimation method based on the autocorrelation function, the expression of the phase noise of the correlation function of the observed sinusoidal signal in the additive white Gaussian noise background is deduced. The calculation formula of the phase noise variance and the phase noise based on the phase of the autocorrelation function Frequency estimation variance, and gives the relationship between the estimated variance and signal-to-noise ratio, the length of observation data and the correlation function used in smoothing the phase difference of the correlation function.The simulation results are given in the paper The formula is consistent with the calculated results.