推导基于卡尔曼滤波的海底地形反演算法,算法通过利用重力梯度仪测量重力梯度异常,提高地形反演的精度和分辨率。结合地形坡度计算理论和矩形棱柱法,建立基于卡尔曼滤波的系统方程和量测方程。对算法进行仿真,分析地形均值误差、随机误差和梯度仪测量精度对反演精度的影响,最后的区域反演仿真结果表明:反演后的地形在精度和分辨率上都有所提高。
A terrain estimation algorithm based on Kalman filter is proposed.Combining with gradient anomaly measured by gravity gradiometer,the algorithm achieves the purpose of terrain estimation by improving the accuracy and resolution of a low-resolution priori terrain.By introducing slope theory and rectangular prism method,system error model and measure equation of the Kalman filter are built first.After that a simulation research is carried out to investigate the effect of algorithm.The simulation analyzes terrain mean noise,random noise and gravity gradiometer precision's influence on estimation accuracy.At last,an area estimation simulation is also investigated.The results show that both the precision and resolution of estimated terrain have improved,which confirmed the correctness of the algorithm.