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eess.IV2022★ 1 cited
A mathematical theory of super-resolution and two-point resolution
Ping Liu, Habib Ammari
This paper focuses on the fundamental aspects of super-resolution, particularly addressing the stability of super-resolution and the estimation of two-point resolution. Our first m…
eess.IV2022
Mathematical Foundation of Sparsity-based Multi-snapshot Spectral Estimation
Ping Liu, Sanghyeon Yu, Ola Sabet +2
In this paper, we study the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements in a bounded…