Title
Distributed Compressed Sensing off the Grid
Abstract
This letter investigates the joint recovery of a frequency-sparse signal ensemble sharing a common frequency-sparse component from the collection of their compressed measurements. Unlike conventional arts in compressed sensing, the frequencies follow an off-the-grid formulation and are continuously valued in [0, 1]. As an extension of atomic norm, the concatenated atomic norm minimization approach is proposed to handle the exact recovery of signals, which is reformulated as a computationally tractable semidefinite program. The optimality of the proposed approach is characterized using a dual certificate. Numerical experiments are performed to illustrate the effectiveness of the proposed approach and its advantage over separate recovery.
Year
DOI
Venue
2015
10.1109/LSP.2014.2349904
Signal Processing Letters, IEEE  
Keywords
DocType
Volume
distributed compressed sensing,off-the-grid formulation,common frequency-sparse component,frequency-sparse signal ensemble joint recovery,dual certificate characterization,mathematical programming,basis mismatch,compressed sensing,semidefinite program,joint sparsity,compressed measurement,concatenated atomic norm minimization approach,atomic norm,minimisation
Journal
22
Issue
ISSN
Citations 
1
1070-9908
4
PageRank 
References 
Authors
0.44
24
6
Name
Order
Citations
PageRank
Zhenqi Lu1112.02
Rendong Ying27519.11
Sumxin Jiang372.87
Zenghui Zhang45010.29
Pei-Lin Liu523144.49
Wenxian Yu632943.89