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Efficient Two-Dimensional Line Spectrum Estimation Based on Decoupled Atomic Norm Minimization
[article]
2018
arXiv
pre-print
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This paper presents an efficient optimization technique for gridless 2-D line spectrum estimation, named decoupled atomic norm minimization (D-ANM). ...
We develop a novel decoupled approach of 2-D ANM via semi-definite programming (SDP), which introduces a new matrix-form atom set to naturally decouple the joint observations in both dimensions without ...
The goal is to estimate X along with its structure given C and Y, which boils down to 2-D line spectrum estimation [33] .
III. ATOMIC NORM MINIMIZATION FOR 2-D LINE SPECTRUM ESTIMATION
A. ...
arXiv:1808.01019v2
fatcat:267vgvnjmzfb5otrqb3cgz2sty
2020 Index IEEE Signal Processing Letters Vol. 27
2020
IEEE Signal Processing Letters
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., +, LSP 2020 1400-1404 Toeplitz Structured Covariance Matrix Estimation for Radar Applications. ...
., +, LSP 2020 366-370 The Global Geometry of Centralized and Distributed Low-rank Matrix Recovery Without Regularization. ...
doi:10.1109/lsp.2021.3055468
fatcat:wfdtkv6fmngihjdqultujzv4by
Table of Contents
2020
IEEE Signal Processing Letters
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Jeong, A. Dytso, and M. Cardone 1909 A Novel Parameter Estimation for Polynomial Phase Signals Using the Spectrum Phase . . . . . . . . . . . . X. Jiang and S. ...
Castella, The Global Geometry of Centralized and Distributed Low-rank Matrix Recovery Without Regularization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
Nie 565 Toeplitz Structured Covariance Matrix Estimation for Radar Applications . . . . . X. Du, A. Aubry, A. De Maio, and G. ...
doi:10.1109/lsp.2020.3040844
fatcat:xpovskhrvfgctk3hhufuvpyyne
Nested Sampling and its Applications in Stable Compressive Covariance Estimation and Phase Retrieval with Near-Minimal Measurements
2016
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The problem of low rank compressive Toeplitz covariance estimation is first shown to be fundamentally related to that of line spectrum recovery. ...
In presence of bounded noise, we develop a regularization-free algorithm that provably leads to stable recovery of the high dimensional Toeplitz matrix from its order-wise minimal sketch acquired using ...
The problem of low rank compressive Toeplitz covariance estimation is first shown to be fundamentally related to that of line spectrum recovery. ...
doi:10.13016/m2qv49
fatcat:trnta5oe5bajdmjgz2tip3yxx4
A total variation approach to sampling and sparse reconstruction from Fourier measurements
2019
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Line spectral estimation is probably one of the most iconic instances of this category of problems and consists of recovering the locations of highly localized patterns, or spikes, in the spectrum of a ...
A low-dimensional semidefinite program is formulated and its equivalence with the TV approach is ensured under the existence of a certain trigonometric certificate verifying the sparse Fejér-Riesz condition ...
Estimating the line spectrum There is a rich literature on spectral estimation. ...
doi:10.25560/65670
fatcat:5jdugxkferftda5zqfptlms7vu