附有直线约束条件的卡尔曼滤波周跳探测方法

Kalman Filter Cycle-slip Detection Method with Linear Constraints

针对卡尔曼滤波用于动态周跳探测精度不高问题,本文通过将直线轨迹约束条件加入标准卡尔曼滤波方程中,从而对卡尔曼滤波方程中的预报值进行修正,来提高动态周跳探测精度。实验结果表明,加入约束后的卡尔曼滤波对于动态周跳的探测精度有相应的提高;约束卡尔曼滤波弥补了标准卡尔曼滤波不能探测连续周跳的缺陷,并且加入约束条件后的卡尔曼滤波收敛速度更快,对动态周跳探测效果有明显提高。

Aiming at the low accuracy of Kalman filter for dynamic cycle-slip detection,this paper improves the accuracy of dynamic cycle-slip detection by adding the linear trajectory constraint to the standard Kalman filter equation to modify the predicted value in the Kalman filter equation.The experimental results show that the Kalman filter with constraints can improve the detection accuracy of dynamic cycle-slips;The constrained Kalman filter makes up for the disadvantage that the standard Kalman filter can not detect continuous cycle-slips,and the Kalman filter with constraint conditions converges faster,and the detection effect of dynamic cycle-slips is significantly improved.