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- W2962936647 abstract "This paper provides a theoretical analysis of diffraction-limited superresolution, demonstrating that arbitrarily close point sources can be resolved in ideal situations. Precisely, we assume that the incoming signal is a linear combination of M shifted copies of a known waveform with unknown shifts and amplitudes, and one only observes a finite collection of evaluations of this signal. We characterize properties of the base waveform such that the exact translations and amplitudes can be recovered from 2M + 1 observations. This recovery is achieved by solving a a weighted version of basis pursuit over a continuous dictionary. Our methods combine classical polynomial interpolation techniques with contemporary tools from compressed sensing." @default.
- W2962936647 created "2019-07-30" @default.
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- W2962936647 date "2015-12-01" @default.
- W2962936647 modified "2023-09-26" @default.
- W2962936647 title "Superresolution without separation" @default.
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- W2962936647 doi "https://doi.org/10.1109/camsap.2015.7383732" @default.
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