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math.NA2022★ 1 cited
Decimated Prony's Method for Stable Super-resolution
Rami Katz, Nuha Diab, Dmitry Batenkov
We study recovery of amplitudes and nodes of a finite impulse train from noisy frequency samples. This problem is known as super-resolution under sparsity constraints and has numer…
math.NA2022★ 6 cited
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices
Dmitry Batenkov, Nuha Diab
We study the problem of super-resolution of a linear combination of Dirac distributions and their derivatives on a one-dimensional circle from noisy Fourier measurements. Following…