Cramér-rao lower bound for pulsar rotation parameters estimation with X-ray pulsar observation data

In this paper, the Cramér-Rao Lower Bound (CRLB) for estimating the rotation parameters of pulsars using X-ray pulsar observation data is deduced, and the calculation equation is presented. In order to verify the correctness of the deduced equation, we use the X-ray pulsar observation data to estimate pulsar rotation parameters, and obtain the root mean square error (RMSE) of the estimated pulsar rotation parameters through conducting repeated experiments. The experimental results suggest that when the observation time increases, the RMSE gradually approaches the estimated CRLB, and that when the observation time is 2.4 × 10⁶ s, the error between the RMSE of pulsar frequency estimation and the CRLB stays at 10^?11 order of magnitude. This verifies that the CRLB expression deduced in this paper is the theoretical lower bound for estimating pulsar rotation parameters. The deduced CRLB in this paper helps determine the minimum variance estimator for pulsar rotation parameter estimation using X-ray pulsar data, providing a benchmark for the comparison between the minimum variance estimator and other estimators.     

基于B1c/B2a/B3I北斗三频实时 高采样率动态PPP分析

为了分析北斗三号新信号的三频实时动态PPP定位性能，首先推导了三频两两组合无电离层模型和三频非差非组合模型的观测方程。基于山东建筑大学CORS站观测得到的北斗三号B1c/B2a/B3I三频信号1s采样率数据，使用iGMAS提供的超快速精密星历预报部分，制定了基于B1cB3I-B2aB3I三频无电离层两两组合、B1cB2aB3I三频非差非组合以及用于对比分析的B1cB2a、B1IB3I两种双频无电离层共四种定位方案。然后利用Net_Diff软件进行实时动态PPP实验，对超快速精密轨道和钟差预报部分的精度和稳定度以及实验解算结果进行分析，对比不同定位方案的定位性能。实验分析表明，两种三频定位方案定位性能均优于B1cB2a双频定位方案，定位精度能达到0.462m和0.479m，收敛至分米所需时间能达到45.8min和62.8min；B1IB3I方案定位性能优于两种三频定位方案，定位精度和收敛速度能达到0.228m和6.6min。