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Super-Resolution from Noisy Data
Deconvolution stable signal recovery sparsity line spectra estimation basis mismatch superresolution factor
2015/6/17
This paper studies the recovery of a superposition of point sources from noisy bandlimited data. In the fewest possible words, we only have information about the spectrum of an object in the lowfreque...
Towards a Mathematical Theory of Super-Resolution
Diffraction limit deconvolution stable signal recovery sparsity sparse spike trains, `1 minimization dual certificates interpolation super-resolution semidefinite programming
2015/6/17
This paper develops a mathematical theory of super-resolution. Broadly speaking, superresolution is the problem of recovering the fine details of an object—the high end of its spectrum— from coarse sc...
In single-molecule microscopy it is necessary to locate with high precision point sources from noisy observations of the spectrum of the signal at frequencies capped by fc, which is just about the fre...