SAR Tomographic techniques have been successfully used for separating the contribution of multiple coherent scatterers lying in the same range azimuth resolution cell, but usually they assume stationary scatterers and does not account for phase variations due to time deformation and/or dilation. In this paper we investigate the design of a detector in SAR tomography for multiple scatterers that can exhibit a time deformation. It exploits the a priori information that at most Kmax different scatterers are present in the same range-Azimuth resolution cell and a phase model that allows modelling time deformation, thereby at the same time, the detector allows a simultaneous retrieval of at most Kmax scatterers with their elevation and deformation parameters.
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