234 citations · 581 across the 34 of their papers we have counts for
26 papers · 1 filter
Mathematical Theory of Atomic Norm Denoising In Blind Two-Dimensional Super-Resolution (Extended Version)
Mohamed A. Suliman, Wei Dai
This paper develops a new mathematical framework for denoising in blind two-dimensional (2D) super-resolution upon using the atomic norm. The framework denoises a signal that consi…
Blind Two-Dimensional Super-Resolution and Its Performance Guarantee (Extended Version)
Mohamed A. Suliman, Wei Dai
We study the problem of identifying the parameters of a linear system from its response to multiple unknown waveforms. We assume that the system response is a scaled superposition…
A Tight Converse to the Spectral Resolution Limit via Convex Programming
Maxime Ferreira Da Costa, Wei Dai
It is now well understood that convex programming can be used to estimate the frequency components of a spectrally sparse signal from uniform temporal measurements. It is co…
Low Dimensional Atomic Norm Representations in Line Spectral Estimation
Maxime Ferreira Da Costa, Wei Dai
The line spectral estimation problem consists in recovering the frequencies of a complex valued time signal that is assumed to be sparse in the spectral domain from its discrete ob…
Exact Dimensionality Reduction for Partial Line Spectra Estimation Problems
Maxime Ferreira Da Costa, Wei Dai
Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to reco…
Achieving Super-Resolution in Multi-Rate Sampling Systems via Efficient Semidefinite Programming
M. Ferreira Da Costa, W. Dai
Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the pote…