Guaranteed performance in the FRI setting

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Title: Guaranteed performance in the FRI setting
Authors: Wei, X
Dragotti, PL
Item Type: Journal Article
Abstract: Finite Rate of Innovation (FRI) sampling theory has shown that it is possible to sample and perfectly reconstruct classes of non-bandlimited signals such as streams of Diracs. In the case of noisy measurements, FRI methods achieve the optimal performance given by the Cramér-Rao bound up to a certain PSNR and breaks down for smaller PSNRs. To the best of our knowledge, the precise anticipation of the breakdown event in FRI settings is still an open problem. In this letter, we address this issue by investigating the subspace swap event which has been broadly recognised as the reason for performance breakdown in SVD-based parameter estimation algorithms. We work out at which noise level the absence of subspace swap is guaranteed and this gives us an accurate prediction of the breakdown PSNR which we also relate to the sampling rate and the distance between adjacent Diracs. Simulation results validate the reliability of our analysis.
Issue Date: 1-Oct-2015
Date of Acceptance: 9-Mar-2015
URI: http://hdl.handle.net/10044/1/38767
DOI: https://dx.doi.org/10.1109/LSP.2015.2411154
ISSN: 1558-2361
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Start Page: 1661
End Page: 1665
Journal / Book Title: IEEE Signal Processing Letters
Volume: 22
Issue: 10
Copyright Statement: © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: 277800
Keywords: Science & Technology
Technology
Engineering, Electrical & Electronic
Engineering
Sampling signals
Strang-fix
Kernels
Matrix
Networking & Telecommunications
Electrical And Electronic Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering



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