Title
Dealing with frequency perturbations in compressive reconstructions with Fourier sensing matrices.
Abstract
•A novel algorithm for compressive recovery of a signal from its undersampled Fourier measurements where the frequencies are incorrectly specified. The perturbations or errors in the frequency specification are also recovered along with the signal itself. This problem crops up in magnetic resonance imaging and in an indirect way in computed tomography.•Theoretical analysis of the uniqueness of the solution of such a computational problem under some specific assumptions.•Extensive simulation results for the algorithm.
Year
DOI
Venue
2019
10.1016/j.sigpro.2019.06.033
Signal Processing
Keywords
Field
DocType
Compressed sensing,Fourier measurements,Frequency Perturbation
Uniqueness,Computational problem,Matrix (mathematics),Control theory,Mathematical analysis,Direction of arrival,Fourier transform,Calibration,Perturbation (astronomy),Mathematics,Compressed sensing
Journal
Volume
ISSN
Citations 
165
0165-1684
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Himanshu Pandotra101.01
Eeshan Malhotra200.68
Ajit Rajwade316018.32
karthik s gurumoorthy45210.09