CAJ | 학술논문

针对多模多频接收机面临同时处理大量数据的压力，提出了一种基于插值和卡尔曼滤波的接收机钟差预测方法。插值方法分别用拉格朗日和三次样条，三次样条端点的一阶导数采用“差分法代替求导法”来确定。首先由插值方法得出每隔1s的卫星坐标、速度、钟差、频漂和伪距测量值，然后基于单星授时方法计算出静止接收机钟差，接着用卡尔曼滤波算法对接收机钟差和频漂进行预测，最后将预测的接收机钟差与加拿大空间参考系统( CSRS )提供的精密接收机钟差数据进行比较。结果表明，拉格朗日插值由于存在龙格效应，其接收机钟差的抖动幅度比三次样条略大，它们与CSRS钟差数据相比，均方根误差在3 ns之内。
침대다모다빈접수궤면림동시처리대량수거적압력，제출료일충기우삽치화잡이만려파적접수궤종차예측방법。삽치방법분별용랍격랑일화삼차양조，삼차양조단점적일계도수채용“차분법대체구도법”래학정。수선유삽치방법득출매격1s적위성좌표、속도、종차、빈표화위거측량치，연후기우단성수시방법계산출정지접수궤종차，접착용잡이만려파산법대접수궤종차화빈표진행예측，최후장예측적접수궤종차여가나대공간삼고계통( CSRS )제공적정밀접수궤종차수거진행비교。결과표명，랍격랑일삽치유우존재룡격효응，기접수궤종차적두동폭도비삼차양조략대，타문여CSRS종차수거상비，균방근오차재3 ns지내。
To reduce the burden of multi-mode multi-band receiver to handle a large number of data at the same time,a method for the receiver clock bias prediction based on the interpolation and Kalman filter is proposed. Lagrange interpolation and cubic spline are used in this paper. The first derivative of the cubic spline is determined by the difference instead of derivation. First satellite coordinates,satellite speed,satel-lite clock bias,satellite frequency drift and pseudo-range measurements every one second are obtained by interpolation,and then the stationary receiver clock biases are calculated by single satellite timing method, the receiver clock bias and frequency drift are predicted by Kalman filter, finally the predictive value is compared with the precision receiver clock error provided by the Canada Space Reference System( CSRS) company . The results show that the jitter of Lagrange interpolation clock bias is slightly larger than a cubic spline due to the Runge effect,and compared with the CSRS data,the root-mean-square error( RMSE) is in about 3 nanoseconds.