8 citations · 16 across the 5 of their papers we have counts for
4 papers · 1 filter
Conditioning of restricted Fourier matrices and super-resolution of MUSIC
Weilin Li, Wenjing Liao
This paper studies stable recovery of a collection of point sources from its noisy low-frequency Fourier coefficients. We focus on the super-resolution regime where the minim…
Super-resolution limit of the ESPRIT algorithm
Weilin Li, Wenjing Liao, Albert Fannjiang
The problem of imaging point objects can be formulated as estimation of an unknown atomic measure from its consecutive noisy Fourier coefficients. The standard resolution of…
High-performance quantization for spectral super-resolution
C. Sinan Güntürk, Weilin Li
We show that the method of distributed noise-shaping beta-quantization offers superior performance for the problem of spectral super-resolution with quantization whenever there is…
Elementary error estimates for super-resolution de-noising
Weilin Li
This paper studies the problem of recovering a discrete complex measure on the torus from a finite number of corrupted Fourier samples. We assume the support of the unknown discret…