Improved resolution estimate for the two-dimensional super-resolution and a new algorithm for direction of arrival estimation with uniform rectangular array
DOI10.1007/S10208-023-09618-7MaRDI QIDQ6645954
Publication date: 29 November 2024
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
MUSIC algorithmstability resultsdirection of arrival algorithmsmodel order detectionresolution estimatessparsity-promoting algorithmtwo-dimensional super-resolution
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical linear algebra (65F99) Numerical solution to inverse problems in abstract spaces (65J22) Numerical methods for mathematical programming, optimization and variational techniques (65K99)
Cites Work
- Mathematical and statistical methods for multistatic imaging
- Support recovery for sparse super-resolution of positive measures
- Assignment problems: a golden anniversary survey
- Exact support recovery for sparse spikes deconvolution
- MUSIC for single-snapshot spectral estimation: stability and super-resolution
- An introduction to mathematics of emerging biomedical imaging
- On inverses of Vandermonde and confluent Vandermonde matrices
- Modeling by shortest data description
- Estimating the dimension of a model
- Spike detection from inaccurate samplings
- Stable super-resolution limit and smallest singular value of restricted Fourier matrices
- A mathematical theory of the computational resolution limit in one dimension
- Super-resolution of positive sources: the discrete setup
- Super-resolution, Extremal Functions and the Condition Number of Vandermonde Matrices
- Near Minimax Line Spectral Estimation
- TESTS OF SIGNIFICANCE FOR THE LATENT ROOTS OF COVARIANCE AND CORRELATION MATRICES
- MUSIC, maximum likelihood, and Cramer-Rao bound
- Superresolution via Sparsity Constraints
- Improved Source Number Detection and Direction Estimation With Nested Arrays and ULAs Using Jackknifing
- MUSIC for Multidimensional Spectral Estimation: Stability and Super-Resolution
- MultiDimensional Sparse Super-Resolution
- A Theory of Computational Resolution Limit for Line Spectral Estimation
- Super-Resolution Limit of the ESPRIT Algorithm
- On the Stable Resolution Limit of Total Variation Regularization for Spike Deconvolution
- A mathematical theory of computational resolution limit in multi-dimensional spaces *
- Conditioning of Partial Nonuniform Fourier Matrices with Clustered Nodes
- The detection and resolution of optical signals
- Compressed Sensing Off the Grid
- A Tree Structure One-Dimensional Based Algorithm for Estimating the Two-Dimensional Direction of Arrivals and Its Performance Analysis
- On the resolvability of sinusoids with nearby frequencies in the presence of noise
- Towards a Mathematical Theory of Super‐resolution
- A new look at the statistical model identification
- An introduction to the theory of optics.
- Algorithmic foundations for the diffraction limit
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