DEM Reconstruction Accuracy in Multichannel SAR Interferometry

Interferometric synthetic aperture radar (InSAR) systems allow the estimation of the height profile of the Earth surface. When the height profile of the observed scene is characterized by high slopes or exhibits strong height discontinuities, the height reconstruction obtained from a single interferogram is ambiguous, since the solution of the estimation problem is not unique. To solve this ambiguity and restore the solution uniqueness, multiple interferograms, obtained with different baselines and/or with different frequencies, have to be used (multichannel InSAR). The height profile can then be estimated from multiple interferograms using maximum likelihood (ML) estimation techniques or by means of maximum a posteriori (MAP) estimation techniques, which take into account the relation between adjacent pixels. In this paper, the height estimation accuracy achievable with a given multibaseline interferometric configuration and using the aforementioned estimation techniques in terms of Cramer-Rao lower bound for the ML and of error lower bound for the MAP, is analyzed and discussed. It is shown that the MAP technique outperforms the ML one and that its attainable accuracy is not sensitive to the baselines choice, while mainly depends on the ground slopes.

[1]  Gerhard Krieger,et al.  TanDEM-X: a TerraSAR-X add-on satellite for single-pass SAR interferometry , 2004, IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium.

[2]  Vito Pascazio,et al.  Multifrequency InSAR height reconstruction through maximum likelihood estimation of local planes parameters , 2002, IEEE Trans. Image Process..

[3]  E. Rodríguez,et al.  Theory and design of interferometric synthetic aperture radars , 1992 .

[4]  Jian Guo Liu,et al.  Analysis of topographic decorrelation in SAR interferometry using ratio coherence imagery , 2001, IEEE Trans. Geosci. Remote. Sens..

[5]  Vito Pascazio,et al.  Maximum a posteriori estimation of height profiles in InSAR imaging , 2004, IEEE Geoscience and Remote Sensing Letters.

[6]  Sailes K. Sengijpta Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[7]  A. Monti Guarnieri,et al.  Maximum likelihood multi-baseline Sar interferometry , 2006 .

[8]  Giampaolo Ferraioli,et al.  Phase-Offset Estimation in Multichannel SAR Interferometry , 2008, IEEE Geoscience and Remote Sensing Letters.

[9]  S. Hensley,et al.  SRTM C-band topographic data: quality assessments and calibration activities , 2001, IGARSS 2001. Scanning the Present and Resolving the Future. Proceedings. IEEE 2001 International Geoscience and Remote Sensing Symposium (Cat. No.01CH37217).

[10]  Donald Geman,et al.  Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images , 1984 .

[11]  Fabio Rocca,et al.  Multibaseline InSAR DEM reconstruction: the wavelet approach , 1999, IEEE Trans. Geosci. Remote. Sens..

[12]  Howard A. Zebker,et al.  Decorrelation in interferometric radar echoes , 1992, IEEE Trans. Geosci. Remote. Sens..

[13]  Fuk K. Li,et al.  Synthetic aperture radar interferometry , 2000, Proceedings of the IEEE.

[14]  Fabio Rocca,et al.  Modeling Interferogram Stacks , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[15]  Jaime Hueso Gonzalez,et al.  TanDEM-X: A satellite formation for high-resolution SAR interferometry , 2007 .

[16]  V. Pascazio,et al.  Estimation of terrain elevation by multifrequency interferometric wide band SAR data , 2001, IEEE Signal Processing Letters.

[17]  Ken D. Sauer,et al.  ML parameter estimation for Markov random fields with applications to Bayesian tomography , 1998, IEEE Trans. Image Process..

[18]  Michael Eineder,et al.  A maximum-likelihood estimator to simultaneously unwrap, geocode, and fuse SAR interferograms from different viewing geometries into one digital elevation model , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[19]  H. Zebker,et al.  InSAR Remote Sensing Over Decorrelating Terrains: Persistent Scattering Methods , 2007, 2007 IEEE Radar Conference.