A Novel Multitemporal InSAR Model for Joint Estimation of Deformation Rates and Orbital Errors

Orbital errors, characterized typically as longwavelength artifacts, commonly exist in interferometric synthetic aperture radar (InSAR) imagery as a result of inaccurate determination of the sensor state vector. Orbital errors degrade the precision of multitemporal InSAR products (i.e., ground deformation). Although research on orbital error reduction has been ongoing for nearly two decades and several algorithms for reducing the effect of the errors are already in existence, the errors cannot always be corrected efficiently and reliably. We propose a novel model that is able to jointly estimate deformation rates and orbital errors based on the different spatial-temporal characteristics of the two types of signals. The proposed model is able to isolate a long-wavelength ground motion signal from the orbital error even when the two types of signals exhibit similar spatial patterns. The proposed algorithm is efficient and requires no ground control points. In addition, the method is built upon wrapped phases of interferograms, eliminating the need of phase unwrapping. The performance of the proposed model is validated using both simulated and real data sets. The demo codes of the proposed model are also provided for reference.

[1]  James Foster,et al.  Space geodetic determination of spatial variability in relative sea level change, Los Angeles basin , 2007 .

[2]  H. Zebker,et al.  A new method for measuring deformation on volcanoes and other natural terrains using InSAR persistent scatterers , 2004 .

[3]  Sang-Ho Yun,et al.  Stress Control of Deep Rift Intrusion at Mauna Loa Volcano, Hawaii , 2007, Science.

[4]  Gianfranco Fornaro,et al.  A new algorithm for surface deformation monitoring based on small baseline differential SAR interferograms , 2002, IEEE Trans. Geosci. Remote. Sens..

[5]  Zhong Lu,et al.  The postseismic response to the 2002 M 7.9 Denali Fault earthquake: Constraints from InSAR 2003-2005 , 2009 .

[6]  T. Wright,et al.  InSAR Observations of Low Slip Rates on the Major Faults of Western Tibet , 2004, Science.

[7]  J. Mallorquí,et al.  The Coherent Pixels Technique (CPT): An Advanced DInSAR Technique for Nonlinear Deformation Monitoring , 2008 .

[8]  Hyung-Sup Jung,et al.  Mapping ground surface deformation using temporarily coherent point SAR interferometry: Application to Los Angeles Basin , 2012 .

[9]  Riccardo Lanari,et al.  Satellite radar interferometry time series analysis of surface deformation for Los Angeles, California , 2004 .

[10]  B. AfeArd CALCULATING THE SINGULAR VALUES AND PSEUDOINVERSE OF A MATRIX , 2022 .

[11]  Michael A. Saunders,et al.  LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares , 1982, TOMS.

[12]  R. Hanssen,et al.  Network adjustment of orbit errors in SAR interferometry , 2010 .

[13]  Walter H. F. Smith,et al.  New, improved version of generic mapping tools released , 1998 .

[14]  T. Strozzi,et al.  Interferometric Point Target Analysis with JERS-1 L-band SAR data , 2003, IGARSS 2003. 2003 IEEE International Geoscience and Remote Sensing Symposium. Proceedings (IEEE Cat. No.03CH37477).

[15]  J. Beck,et al.  An introduction to the RADARSAT-2 mission , 2004 .

[16]  Riccardo Lanari,et al.  A quantitative assessment of the SBAS algorithm performance for surface deformation retrieval from DInSAR data , 2006 .

[17]  Ramon F. Hanssen,et al.  Ambiguity resolution for permanent scatterer interferometry , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[18]  Thomas R. Walter,et al.  Estimating the Effect of Satellite Orbital Error Using Wavelet-Based Robust Regression Applied to InSAR Deformation Data , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[19]  R. Hanssen Radar Interferometry: Data Interpretation and Error Analysis , 2001 .

[20]  Xiaoli Ding,et al.  Modeling PSInSAR Time Series Without Phase Unwrapping , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[21]  Antonio Pepe,et al.  SBAS-Based Satellite Orbit Correction for the Generation of DInSAR Time-Series: Application to RADARSAT-1 Data , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[22]  Fabio Rocca,et al.  Monitoring landslides and tectonic motions with the Permanent Scatterers Technique , 2003 .

[23]  Nobuo Kudo,et al.  Precise Orbit Determination for ALOS , 2007 .

[24]  Xiaoli Ding,et al.  Deformation Rate Estimation On Changing Landscapes Using Temporarily Coherent Point INSAR , 2012 .

[25]  Michele Manunta,et al.  A small-baseline approach for investigating deformations on full-resolution differential SAR interferograms , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[26]  Yngvar Larsen,et al.  InSAR Deformation Time Series Using an $L_{1}$ -Norm Small-Baseline Approach , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[27]  Fabio Rocca,et al.  Nonlinear subsidence rate estimation using permanent scatterers in differential SAR interferometry , 2000, IEEE Trans. Geosci. Remote. Sens..

[28]  Gene H. Golub,et al.  Calculating the singular values and pseudo-inverse of a matrix , 2007, Milestones in Matrix Computation.

[29]  S. Ahmed,et al.  RADARSAT Mission Requirements and Concept , 1993 .

[30]  B. Kampes Radar Interferometry: Persistent Scatterer Technique , 2006 .

[31]  Zhong Lu,et al.  Surface deformation associated with the March 1996 earthquake swarm at Akutan Island, Alaska, revealed by C-band ERS and L-band JERS radar interferometry , 2005 .

[32]  T. Wright,et al.  Multi-interferogram method for measuring interseismic deformation: Denali Fault, Alaska , 2007 .