We address the problem of resolving two closely spaced complex-valued points from N irregular Fourier domain samples. Although this is a generic super-resolution problem, our target application is SAR tomography where typically the number of acquisitions is N = 10... 100 and SNR = 0 ...10dB. In this paper, a compressive sensing based algorithm is introduced for tomographic SAR inversion. It is named "Scale-down by LI. norm Minimization. Model selection, and Estimation Reconstruction" (SLIMMER, pronounced "slimmer"). SLIMMER combines the advantage of compressive sensing, e.g. high localization accuracy and super-resolution, and the radiometric accuracy of the linear estimator. Moreover, a systematic performance assessment of the SLIMMER algorithm is carried out regarding the elevation estimation accuracy and super-resolution. It is proven that SLIMMER is an efficient estimator; its super resolution factors are in the range of 1.5 to 25 for the aforementioned parameter ranges of TV and SNR. Our results are approximately applicable to nonlinear least-squares estimation, and hence can be considered as fundamental bounds for super-resolution of spectral estimators.     «

We address the problem of resolving two closely spaced complex-valued points from N irregular Fourier domain samples. Although this is a generic super-resolution problem, our target application is SAR tomography where typically the number of acquisitions is N = 10... 100 and SNR = 0 ...10dB. In this paper, a compressive sensing based algorithm is introduced for tomographic SAR inversion. It is named "Scale-down by LI. norm Minimization. Model selection, and Estimation Reconstruction" (SLIMMER, p...     »

Synthetic aperture radar, tomographic SAR imaging, Strontium, super-resolution, minimisation, nonlinear least-squares estimation, radar imaging, tomography, Estimation, Signal resolution, Signal to noise ratio, Spatial resolution, SL1MMER, SAR tomography, linear estimator, radiometry, N irregular Fourier domain samples, Scale-down by L1. norm Minimization. Model selection, and Estimation Reconstruction, closely spaced complex-valued points, compressive sensing based algorithm, localization accuracy, radiometric accuracy, resolution cell, spectral estimators, superresolution, least squares approximations     «

Synthetic aperture radar, tomographic SAR imaging, Strontium, super-resolution, minimisation, nonlinear least-squares estimation, radar imaging, tomography, Estimation, Signal resolution, Signal to noise ratio, Spatial resolution, SL1MMER, SAR tomography, linear estimator, radiometry, N irregular Fourier domain samples, Scale-down by L1. norm Minimization. Model selection, and Estimation Reconstruction, closely spaced complex-valued points, compressive sensing based algorithm, localization accur...     »