北斗卫星定位算法研究

A Positioning Algorithm for the "Beidou" Navigation System

对北斗卫星定位系统的定位原理进行研究的基础上,提出了一种可以自主求解用户位置和速度的新的北斗卫星定位算法。该算法不仅可以求解“北斗一号”静态用户的三维位置,而且可以求出动态用户的三维位置和速度以及时钟偏差和频率偏差。给出了该算法的模型并进行了仿真,仿真结果表明了该算法的正确性及实用性。

The PRC ＂Beidou＂ navigation system actually consists of three satellites, but its positioning algorithm only utilizes the signals of two of them. We now present an improved algorithm that utilizes the signals of all three satellites. In the full paper, we explain in detail our improved algorithm and simulation results using this improved algorithm; in this abstract, we just add some pertinent remarks to listing the two topics of explanation： （1） the improved positioning algorithm for ＂Beidou＂ navigation system and （2） the measurement of the velocity of the user of ＂Beidou＂ navigation system using the improved navigation system; the three subtopics of topic 1 are the positioning principles of the ＂Beidou＂ navigation system （subtopic 1. 1）, our improved positioning algorithm （subtopic 1.2） and position simulations using our improved positioning algorithm （subtopic 1.3）; in subtopic 1.2, we derive eqs. （1）, （2）, （3） and （4） in the full paper; in subtopic 1.3, we give the simulation results of user＇s position in Figs. 1 through 7 in the full paper; the three subtopics of topic 2 are the GPS user＇s velocity measurement equations（subtopic 2. 1）, the ＂Beidou＂ navigation system＇s velocity measurement algorithm （subtopic 2.2） and velocity simulations using our improved algorithm（subtopic 2.3）; in subtopic 2. 2, we derive eq. （11） in the full paper giving the velocity of user. The above-mentioned position and velocity simulation results show preliminarily that our improved algorithm can reduce user＇s time error and frequency error.