66 citations · 375 across the 33 of their papers we have counts for
10 papers · 1 filter
Stability and Super-resolution of MUSIC and ESPRIT for Multi-snapshot Spectral Estimation
Weilin Li, Zengying Zhu, Weiguo Gao +1
This paper studies the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements collected by a un…
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…
Stable super-resolution limit and smallest singular value of restricted Fourier matrices
Weilin Li, Wenjing Liao
We consider the inverse problem of recovering the locations and amplitudes of a collection of point sources represented as a discrete measure, given of its noisy low-frequenc…
Sensor Calibration for Off-the-Grid Spectral Estimation
Yonina C. Eldar, Wenjing Liao, Sui Tang
This paper studies sensor calibration in spectral estimation where the true frequencies are located on a continuous domain. We consider a uniform array of sensors that collects mea…
MUSIC for multidimensional spectral estimation: stability and super-resolution
Wenjing Liao
This paper presents a performance analysis of the MUltiple SIgnal Classification (MUSIC) algorithm applied on dimensional single-snapshot spectral estimation while true fre…
MUSIC for Single-Snapshot Spectral Estimation: Stability and Super-resolution
Wenjing Liao, Albert Fannjiang
This paper studies the problem of line spectral estimation in the continuum of a bounded interval with one snapshot of array measurement. The single-snapshot measurement data is tu…
Super-Resolution by Compressive Sensing Algorithms
A. Fannjiang, W. Liao
In this work, super-resolution by 4 compressive sensing methods (OMP, BP, BLOOMP, BP-BLOT) with highly coherent partial Fourier measurements is comparatively studied. An alternativ…
Mismatch and resolution in compressive imaging
Albert Fannjiang, Wenjing Liao
Highly coherent sensing matrices arise in discretization of continuum problems such as radar and medical imaging when the grid spacing is below the Rayleigh threshold as well as in…
Coherence-Pattern Guided Compressive Sensing with Unresolved Grids
A. Fannjiang, W. Liao
Highly coherent sensing matrices arise in discretization of continuum imaging problems such as radar and medical imaging when the grid spacing is below the Rayleigh threshold. Algo…