Sparse reconstrcution techniques for SAR tomography

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations

Abstract

Tomographic SAR inversion, including SAR tomography and differential SAR tomography, is essentially a spectral analysis problem. The resolution in the elevation direction depends on the size of the elevation aperture, i.e. on the spread of orbit tracks. Since the orbits of modern meter-resolution space-borne SAR systems, like TerraSAR-X, are tightly controlled, the tomographic elevation resolution is at least an order of magnitude lower than in range and azimuth. Hence, super-resolution reconstruction algorithms are desired. The high anisotropy of the 3D tomographic resolution element renders the signals sparse in the elevation direction; only a few point-like reflections are expected per azimuth-range cell. Considering the sparsity of the signal in elevation, a compressive sensing based algorithm is proposed in this paper: Scale-down by L1 norm Minimization, Model selection, and Estimation Reconstruction (SL1MMER, pronounced slimmer). It combines the advantages of compressive sensing, e.g. super-resolution capability, with the high amplitude and phase accuracy of linear estimators, and features a model order selection step which is demonstrated with several examples using TerraSAR-X spotlight data. Moreover, we investigate the ultimate bounds of the technique on localization accuracy and super-resolution power. Finally, a practical demonstration of the super resolution of SL1MMER for SAR tomographic reconstruction is provided.

Original languageEnglish
Title of host publication17th DSP 2011 International Conference on Digital Signal Processing, Proceedings
DOIs
StatePublished - 2011
Event17th International Conference on Digital Signal Processing, DSP 2011 - Corfu, Greece
Duration: 6 Jul 20118 Jul 2011

Publication series

Name17th DSP 2011 International Conference on Digital Signal Processing, Proceedings

Conference

Conference17th International Conference on Digital Signal Processing, DSP 2011
Country/TerritoryGreece
CityCorfu
Period6/07/118/07/11

Keywords

  • SAR tomography
  • SL1MMER
  • Synthetic aperture radar
  • TerraSAR-X
  • compressive sensing
  • sparse reconstruction

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