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ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation

Abstract: 

This paper is concerned with estimating unknown multidimensional frequencies from linear compressive measurements. This is accomplished by employing the recently proposed atomic norm minimization framework to recover these frequencies under a sparsity prior without imposing any grid restriction on these frequencies. To this end, we give a rigorous derivation of an iterative scheme called alternating direction of multipliers method, which is able to incorporate multiple compressive snapshots from a multi-dimensional superposition of complex harmonics. The key result here is how to formulate the objective function minimized by this scheme and its partial derivatives, which become hard to manage if the dimensionality of the frequencies is larger than 1. Moreover we demonstrate the performance of this approach in case of 3D line spectral estimation and 2D DOA estimation with a synthetic antenna array.

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Paper Details

Authors:
Sebastian Semper, Florian Roemer
Submitted On:
20 May 2019 - 8:31am
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Florian Roemer
Paper Code:
SAM-L1.3
Document Year:
2019
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Document Files

Slides for the presentation at ICASSP 2019 (SAM-L1.3)

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[1] Sebastian Semper, Florian Roemer, "ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation", IEEE SigPort, 2019. [Online]. Available: http://sigport.org/4553. Accessed: Oct. 15, 2019.
@article{4553-19,
url = {http://sigport.org/4553},
author = {Sebastian Semper; Florian Roemer },
publisher = {IEEE SigPort},
title = {ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation},
year = {2019} }
TY - EJOUR
T1 - ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation
AU - Sebastian Semper; Florian Roemer
PY - 2019
PB - IEEE SigPort
UR - http://sigport.org/4553
ER -
Sebastian Semper, Florian Roemer. (2019). ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation. IEEE SigPort. http://sigport.org/4553
Sebastian Semper, Florian Roemer, 2019. ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation. Available at: http://sigport.org/4553.
Sebastian Semper, Florian Roemer. (2019). "ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation." Web.
1. Sebastian Semper, Florian Roemer. ADMM for ND Line Spectral Estimation using Grid-Free Compressive Sensing from Multiple Measurements with Applications to DOA Estimation [Internet]. IEEE SigPort; 2019. Available from : http://sigport.org/4553