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建立了脉冲相位估计模型,提出了加权非线性最小二乘方法,利用脉冲轮廓噪声的统计特征构造了最优加权矩阵,分析了提出方法的理论精度和计算复杂度,并与克拉美-罗下界进行比较.数值仿真和实验表明:提出的方法具有最小方差的渐近无偏估计,当观测时间较长时,该方法的性能优于非线性最小二乘方法,接近最大似然方法,但计算复杂度要明显低于最大似然方法.对于Crab脉冲星,当观测时间为80s时,该方法的距离估计误差比非线性最小二乘法小400m.
The pulse phase estimation model is established and a weighted nonlinear least squares method is proposed. The optimal weighted matrix is constructed by using the statistical characteristics of pulse contour noise. The theoretical accuracy and computational complexity of the proposed method are analyzed. The numerical simulation and experimental results show that the proposed method has the minimum variance asymptotically unbiased estimator, which performs better than the nonlinear least squares method and approaches the maximum likelihood method when the observation time is longer, The complexity is significantly lower than the maximum likelihood method.For the Crab pulsar, when the observation time is 80s, the distance estimation error of this method is 400m less than the nonlinear least square method.