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- 2018
航空重力向下延拓的最小二乘配置Tikhonov正则化法
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Abstract:
基于最小二乘配置法向下延拓航空重力的过程中，由于协方差矩阵严重病态，影响延拓结果的稳定性和精度。针对这一问题，提出了航空重力向下延拓的最小二乘配置Tikhonov正则化法。基于全球协方差函数模型建立航空重力数据与地面重力数据的协方差关系，引入基于广义交叉验证法，选择正则化参数的Tikhonov正则化法改善协方差矩阵的病态性，抑制观测噪声对延拓结果的放大影响。基于EGM2008重力场模型，设计了山区、丘陵和海域3种不同地形区域的航空重力数据向下延拓的仿真实验，实验结果验证了该方法的有效性
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