航空重力向下延拓分组修正的正则化解法  

Regularization by Grouping Correction in Downward Continuation of Airborne Gravity

作　　者：顾勇为[1] 归庆明[1] 韩松辉[1] 王靳辉[1] 

机构地区：[1]信息工程大学理学院,郑州市科学大道62号450001

出　　处：《武汉大学学报（信息科学版）》2013年第6期720-724,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(41174005;40974009);郑州市科技攻关计划资助项目(0910SGYG21198);中国卫星导航学术年会青年优秀论文获奖者资助项目

摘　　要：在航空重力向下延拓中,针对病态性对解算结果各个部分影响的不同进行分组修正,提出了分组修正的正则化解法。利用信噪比评估病态性影响,得到将参数分组的方式;依分组修正思想构造正则化矩阵;通过极小化均方误差选取正则化参数。基于EGM2008重力场模型仿真一组航空重力数据,验证了该方法对航空重力数据向下延拓过程的有效性,并与另外3种方法作比较。结果表明,新方法具有更高的精度。During downward continuation of airborne gravity, ill-condition causes different effects to different parameters. In order to eliminate or alleviate the effects to an appropriate level, we put forward a new algorithm named regularization by grouping correction. Using the signal-to-noise ratio to assess the ill-condition effects, parameters are grouped. Regulari- zation matrix is constructed by grouping amendment idea. Regularization parameter is select- ed by minimizing the mean square error. Using the simulative airborne gravity data based on the EGM2008 as true values of the gravity field, the effectiveness of the method is verified. Comparing with three other methods, the new method has higher accuracy.

关 键 词：航空重力 向下延拓 病态性 信噪比 正则化 

分 类 号：P223.4[天文地球—大地测量学与测量工程]