Super-Resolution of Positive Sources: The Discrete Setup

Abstract

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 frequency of natural light. This paper rigorously establishes that this super-resolution problem can be solved via linear programming in a stable manner. We prove… (More)
DOI: 10.1137/15M1016552

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