Publication
Title
How to get high resolution results from sparse and coarsely sampled data
Author
Abstract
Sampling a signal below the ShannonNyquist rate causes aliasing, meaning different frequencies to become indistinguishable. It is also well-known that recovering spectral information from a signal using a parametric method can be ill-posed or ill-conditioned and therefore should be done with caution. We present an exponential analysis method to retrieve high-resolution information from coarse-scale measurements, using uniform downsampling. We exploit rather than avoid aliasing. While we loose the unicity of the solution by the downsampling, it allows to recondition the problem statement and increase the resolution. Our technique can be combined with different existing implementations of multi-exponential analysis (matrix pencil, MUSIC, ESPRIT, APM, generalized overdetermined eigenvalue solver, simultaneous QR factorization, ) and so is very versatile. It seems to be especially useful in the presence of clusters of frequencies that are difficult to distinguish from one another.
Language
English
Source (journal)
Applied and computational harmonic analysis. - San Diego, Calif.
Publication
San Diego, Calif. : Academic Press , 2020
ISSN
1063-5203
Volume/pages
48 :3 (2020) , p. 1066-1087
ISI
000518499600008
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Project info
Sub-Nyquist underwater communication.
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 15.11.2018
Last edited 29.08.2021
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