| 基于滤波因子的病态方程解法 |
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| 引用本文： | 沈云中.基于滤波因子的病态方程解法[J].同济大学学报(自然科学版),2006,34(6):844-847. |
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| 作者姓名： | 沈云中 |
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| 作者单位： | 同济大学,测量与国土信息工程系,上海,200092 |
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| 摘 要： | 给出了基于滤波因子解算病态方程的谱分解公式，在均方误差最小的准则下，导出了滤波因子的计算公式并用该公式模拟计算了CHAMP卫星（德国2000年发射的重力卫星）5天数据恢复的重力场模型系数．结果表明公式明显改善了45阶次以上部分的位系数精度．
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| 关 键 词： | 卫星重力测定 病态方程 滤波因子 |
| 文章编号： | 0253-374X（2006）06-0844-04 |
| 收稿时间： | 11 15 2004 12:00AM |
| 修稿时间： | 2004-11-15 |
Algorithm for Solving Ⅲ-Posed Equation Based on Filter Factor |
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| SHEN Yunzhong.Algorithm for Solving Ⅲ-Posed Equation Based on Filter Factor[J].Journal of Tongji University(Natural Science),2006,34(6):844-847. |
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| Authors: | SHEN Yunzhong |
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| Institution: | Department of Surveying and Geoinformaties, Tongji University, Shanghai 200092, China |
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| Abstract: | First the spectral decomposition formula is proposed in this paper to ,solve ill-posed equation based on filter factor, and then a formula is educed to calculate filter factor by the criterion of minimizing the mean square error. The algorithm is used to construct the gravitational potential model based on 5-day simulated CHAMP data. Results show that the algorithm remarkably improves the gravitational potential model in the frequency domain with the degree and order higher than 45. |
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| Keywords: | satellite gravimetry ill-posed equation filter factor |
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