顾及模型误差的卡尔曼滤波相位解缠Kalman filter phase unwrapping algorithm based on error factors
刘国林,闫满
摘要(Abstract)：
本文提出一种顾及模型误差的卡尔曼滤波相位解缠算法,该算法在卡尔曼滤波的状态空间模型中引入一与误差因素有关的控制变量,对相位误差进行补偿,通过在解缠过程中将卡尔曼滤波增益限制在一定范围内,把误差阻遏在相当小的区域,最后对解缠相位进行卡尔曼滤波平滑操作,减少了误差的传播。分别采用仿真数据和真实InSAR数据进行实验,并与原卡尔曼滤波相位解缠结果进行对比分析,验证了本文方法的有效性。
关键词(KeyWords)： InSAR;卡尔曼滤波;相位解缠;误差补偿;卡尔曼滤波平滑
基金项目(Foundation): 国家自然科学基金(40874001);; 国家863计划(2009AA12Z147);; 山东省泰山学者建设工程专项经费(TSXZ-0520)
作者(Author): 刘国林,闫满
DOI: 10.16251/j.cnki.1009-2307.2012.02.059
参考文献(References)：
- [1]T J Flynn.Two Dimensional Phase Unwrapping with Min-imum Weighted Discontinuity[J].J.OPt.Soc.Am.A,1997,(14):2692-2701.
- [2]R M Goldstein,H A Zerber,C L Werner.Satellite ra-dar interferometry:Two-dimensional phase unwrapping[J].Radio Science,1988,23(4):713-720.
- [3]W Xu,I Cumming.A Region-Growing Algorithm for InSARPhase Unwrapping[C]//IEEE.Trans.Geosci.RemoteSens.,1999,37(3):124-133.
- [4]G Fornaro,G Franceshetti,R Lanari.InterferometricSAR Phase Unwrapping Using Greens Formulation[C]//IEEE.Trans.Geosci.Remote Sens.,1996,34(3):720-727.
- [5]M D Pritt,J S Shipman.Least-Squares Two-DimensionalPhase Unwrapping Using FFTs[C]//IEEE.Trans.Geosci.Remote Sens.,1994,32(3):706-708.
- [6]M D Pritt.Phase Unwrapping by Means of MultigridTechniques for Interferometric SAR[C]//IEEE.Trans.Geosci.Remote Sens.,1996,34(3):728-738.
- [7]M Contantini,A Farina,F Zirilli.A Fast Phase Un-wrapping Alorgrithm for SAR Interferometry[C]//IEEE.Trans.Geosci.Remote Sens.,1999,37(1):452-460.
- [8]Dias J M B,Leitao J M N.InSAR phase unwrapping:aBayesian approach[C]//Geoscience and RemoteSensing Symposium,2001,1(1):396-400.
- [9]Krmer R.Auf Kalman-Filtern basierende Phasen-undparameter estimation zur Lsung derp hasen vieldeutigkeitsproblematik bei der Hhenmodellerstellung aus SAR-In-terferogrammen[D].Univer-sitt-GH Siegen,Siegen,Germany,1989.
- [10]刘国林,独知行,薛怀平,等.卡尔曼滤波在In-SAR噪声消除与相位解缠中的应用[J].大地测量与地球动力学,2006,26(2):66-70.
- [11]O Loffeld,H Nies,S Knedlik,and Y Wang.Phase un-wrapping for SAR Interferometry-A data fusion approachby kalman filtering[C]//IEEE Transactions on Geosci-ence and Remote Sensing,2008,46(1):47-58.
- [12]J J Martinez,T Martinez,J M Lopez,Using a Grid-Based Filter to Solve InSAR Phase Unwrap-ping.Geoscience and Remote Sensing[C]//IEEETransactions on,2008,5(1):147-151.
- [13]H Nies,O Loffeld,R Wang.Phase Unwrapping using2D-Kalman Filter-Potential and Limitations[C]//Ge-oscience and Remote Sensing Symposium,2008,4(1):1213-1216.