基于增强型DGPS高精度星间相对定位的样条方法

用传统的差分GPS（DGPS）方法确定分布式SAR的星间相对位置，可能存在：（1）卫星的高速运动可能导致GPS接收信号的信噪比过低，进而造成可用信号数目无法达到正常解算的要求；（2）传统状态估计方法的精度不能满足要求。为解决上述问题，提出了一种基于增强型DGPS的相对定位样条方法，即在GPS测量的基础上，增加星间伪距测量，并结合待估参数的连续特性，建立了相对定位的样条模型，最后利用最小二乘进行参数估计。仿真结果表明：该方法的相对定位精度比相对传统方法大约提高了3倍。最后的理论分析验证了仿真的正确性。     

变参数线性常微分方程组的积分型级数解

本文给出了在控制系统研究中很有用的特解公式:在控制、仿真、观测等研究领域中,此公式均表现出其简单、精确性。     

用相对差分GPS技术确定绕飞轨道

本文对各种GPS相对差分技术进行了研究 ,提出了利用Kalman滤波确定高动态情况下载波相位整周数的方法。对用GPS相对位置差分、GPS相对伪距差分、GPS相对载波相位差分确定绕飞轨道进行了初步仿真     

调和微分求积法权系数矩阵的一种显式计算式

简要介绍了调和微分求积法，导出了求一阶导数权系数矩阵的显式计算公式。利用该公式和其中反心对称的性能，可进一步提高计算效率。由于均匀网点有时不能给出可靠的解，本文导出了几种能出可靠结果的不等距网点公式，其中一种公式虽然用不同的方法导出，但结果与Ｇａｕｓｓ－Ｌｏｂａｔｔｏ方法等价，本文还证明了调和微分求积法权系数矩阵具有中心对称或中心反对称的性质（取决于导数的阶数），利用这些性质可以进一步减少计算工程     

关于微分方程的有理式解的存性问题

许多非线性微分方程一般都是不可积的，例如Ｒｉｃｃａｔｉ方程。本文主要利用在文［４］中得到的一个定理，通过构造微分方程的线性算子的方法，得到了一个关于微分方程的算子矩阵，从这个算子矩阵向量的线性相关性得到了微分方程存在有理式解的充分必要条件，并举例给出求有理式解的具体方法。本文的结果对研究Ｒｉｃｃａｔｉ方程的特解以及可积性等问题具有重要意义，并推广了文［３］中收集的相应结果，且以此为特例     

用差分干涉仪测量钝锥模型周围的密度场

本文介绍了用差分干涉仪测量超声速流场中钝锥模型周围密度场的试验装置和测量结果,并同尖锥模型的测量结果进行了比较。     

整周模糊度动态快速求解

初始整周模糊度的求解是利用GPS载波相位进行测量时的关键问题，本文提出了一种初始整周模糊度在航快速解算方法，该方法由低阶Kalman滤波器和基线约束条件来实现，利用Kalman滤波器动态递推的特性可以实现模糊度的动态解算，由基线约束条件可以有效地剔除不合理模糊度组合，文中对所提出的算法进行了理论推导，并进行了计算机仿真和实测数据分析，仿真和实验结果表明，该算法计算量小，快速准确，适合整周模糊度的快速动态求解。     

利用GPS进行时间传递与频率比对

全面介绍了ＢＩＲＭＭ从１９８６～１９９２年间从事利用时间ＧＰＳ进行时间传递与频率比对技术研究方面的情况，包括所建立的ＣＰＳ定时校频系统、单站定时、ＳＡ对定时精度的影响、ＧＰＳ定时信号噪声模型、卡尔曼滤波、电离层时延估算、ＧＰＳ共视试验、ＣＰＳ校频、接收系统差测量等。     

Performance improvement of real-time PPP ambiguity resolution using a regional integer clock

Obtaining reliable GNSS uncalibrated phase delay (UPD) or integer clock products is the key to achieving ambiguity-fixed solutions for real-time (RT) precise point positioning (PPP) users. However, due to the influence of RT orbit errors, the quality of UPD/integer clock products estimated with a globally distributed GNSS network is difficult to ensure, thereby affecting the ambiguity resolution (AR) performance of RT-PPP. In this contribution, by fully utilising the consistency of orbital errors in regional GNSS network coverage areas, a method is proposed for estimating regional integer clock products to compensate for RT orbit errors. Based on Centre National d’Études Spatiales (CNES) RT precise products, the regional GPS/BDS integer clock was estimated with a CORS network in the west of China. Results showed that the difference between the estimated regional and CNES global integer clock/bias products was generally less than 5 cm for GPS, whereas clock differences of greater than 10 cm were observed for BDS due to the large RT orbit error. Compared with PPP using global integer clock/bias products, the AR performance of PPP using the regional integer clock was obviously improved for four rover stations. For single GPS, the horizontal and vertical accuracies of ambiguity-fixed PPP solutions were improved by 56.2% and 45.3% on average, respectively, whereas improvements of 67.5% and 50.5% in the horizontal and vertical directions, respectively, were observed for the combined GPS/BDS situation. Based on a regional integer clock, the RMS error of a kinematic ambiguity-fixed PPP solution in the horizontal direction could reach 0.5 cm. In terms of initialisation time, the average time to first fix (TTFF) in combined GPS/BDS PPP was shortened from 18.2 min to 12.7 min. In view of the high AR performance realised with the use of regional integer clocks, this method can be applied to scenarios that require high positioning accuracy, such as deformation monitoring.     

Initial accuracy and reliability of current BDS-3 precise positioning,velocity estimation,and time transfer (PVT)

The primary system of Chinese global BeiDou satellite system (BDS-3) was completed to provide global services on December 27, 2018; this was a key milestone in the development process for BDS in terms of its provision of global services. Therefore, this study analyzed the current performance of BDS-3, including its precise positioning, velocity estimation, and time transfer (PVT). The datasets were derived from international GNSS monitoring and assessment system (iGMAS) tracking networks and the two international time laboratories in collaboration with the International Bureau of Weights and Measures (BIPM). With respect to the positioning, the focus is on the real-time kinematic (RTK) positioning and precise point positioning (PPP) modes with static and kinematic scenarios. The results show that the mean available satellite number is 4.8 for current BDS-3 system at short baseline XIA1–XIA3. The RTK accuracy for three components is generally within cm level; the 3D mean accuracy is 8.9 mm for BDS-3 solutions. For the PPP scenarios, the convergence time is about 4 h for TP01 and BRCH stations in two scenarios. After the convergence, the horizontal positioning accuracy is better than cm level and the vertical accuracy nearly reaches the 1 dm level. With respect to kinematic scenarios, the accuracy stays at the cm level for horizontal components and dm level for the vertical component at two stations. In terms of velocity estimation, the horizontal accuracy stays at a sub-mm level, and the vertical accuracy is better than 2 mm/s in the BDS-3 scenario, even in the Arctic. In terms of time and frequency transfer, the noise level of BDS-3 time links can reach 0.096 ns for long-distances link NT01–TP02 and 0.016 ns for short-distance links TP01–TP02. Frequency stability reaches 5E–14 accuracy when the averaging time is within 10,000 s for NT01–TP02 and 1E–15 for TP01–TP02.