15 citations · 24 across the 5 of their papers we have counts for
5 papers
IFF: A Super-resolution Algorithm for Multiple Measurements
Zetao Fei, Hai Zhang
We consider the problem of reconstructing one-dimensional point sources from their Fourier measurements in a bounded interval . This problem is known to be challenging in…
A measurement decoupling based fast algorithm for super-resolving point sources with multi-cluster structure
Ping Liu, Hai Zhang
We consider the problem of resolving closely spaced point sources in one dimension from their Fourier data in a bounded domain. Classical subspace methods (e.g., MUSIC algorithm, M…
Mathematical Theory of Computational Resolution Limit in Multi-dimensions
Ping Liu, Hai Zhang
Resolving a linear combination of point sources from their band-limited Fourier data is a fundamental problem in imaging and signal processing. With the incomplete Fourier data and…
A Theory of Computational Resolution Limit for Line Spectral Estimation
Ping Liu, Hai Zhang
Line spectral estimation is a classical signal processing problem that aims to estimate the line spectra from their signal which is contaminated by deterministic or random noise. D…
A mathematical theory of computational resolution limit in one dimension
Ping Liu, Hai Zhang
Given an image generated by the convolution of point sources with a band-limited function, the deconvolution problem is to reconstruct the source number, positions, and amplitudes.…