Solving Ill-posed Problem of Whole-Cycle Ambiguities Estimation Using Damped Singular Value Decomposition

摘要：

In this paper we deal with the ill-posed problems of whole-cycle ambiguities estimation by damped singular value decomposition (DSVD). First, we presented a singular normal equation matrix of whole-cycle ambiguities estimation, and then added synthetic noises to the right hand side to create two “noisy problems. Second, we performed DSVD in conjunction with some parameter-choice approaches (e.g., the L-curve, generalized cross-validation (GCV) function, and normalized cumulative periodogram (NCP)), to solve ill-posed problems under different noise conditions. Finally, we also discussed the performance of these parameter-choice approaches. The results indicate that DSVD is promising in solving ill-posed problems, and the selection of regularization parameter has significant effect on the ambiguities estimation.

关键词： damped singular value decomposition whole-cycle ambiguity regularization parameter L-curve GCV NCP

作者: Xu Chang Zhu Lu

作者单位: Department of Hydraulic Engineering Zhejiang Water Conservancy and Hydropower College Hangzhou P.R.C Lianyungang Development Zone State Land Planning Surveying Office Co., Ltd Lianyungang P.R.China

会议类型: 国际会议

会议名称: The 2nd IEEE International Conference on Advanced Computer Control(第二届先进计算机控制国际会议 ICACC 2010)

会议地点: 沈阳

会议语种:英文

页码: 594-597

在线出版日期: 2010-03-27（万方平台首次上网日期，不代表论文的发表时间）