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Multi-dimensional grid-less estimation of saturated signals

Elvander, Filip LU ; Swärd, Johan LU and Jakobsson, Andreas LU (2018) In Signal Processing 145. p.37-47
Abstract
This work proposes a multi-dimensional frequency and amplitude estimator tailored for noise corrupted signals that have been clipped. Formulated as a sparse reconstruction problem, the proposed algorithm estimates the signal parameters by solving an atomic norm minimization problem. The estimator also exploits the waveform information provided by the clipped samples, incorporated in the form of linear constraints that have been augmented by slack variables as to provide robustness to noise. Numerical examples indicate that the algorithm offers preferable performance as compared to methods not exploiting the saturated samples.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Atomic norm, De-clipping, Gridless reconstruction
in
Signal Processing
volume
145
pages
11 pages
publisher
Elsevier
external identifiers
  • scopus:85034743727
ISSN
0165-1684
DOI
language
English
LU publication?
yes
id
b568dbea-aba1-4110-bbfa-16950fece073
date added to LUP
2017-12-03 17:04:28
date last changed
2018-05-29 11:51:37
@article{b568dbea-aba1-4110-bbfa-16950fece073,
  abstract     = {This work proposes a multi-dimensional frequency and amplitude estimator tailored for noise corrupted signals that have been clipped. Formulated as a sparse reconstruction problem, the proposed algorithm estimates the signal parameters by solving an atomic norm minimization problem. The estimator also exploits the waveform information provided by the clipped samples, incorporated in the form of linear constraints that have been augmented by slack variables as to provide robustness to noise. Numerical examples indicate that the algorithm offers preferable performance as compared to methods not exploiting the saturated samples.},
  author       = {Elvander, Filip and Swärd, Johan and Jakobsson, Andreas},
  issn         = {0165-1684},
  keyword      = {Atomic norm,De-clipping,Gridless reconstruction},
  language     = {eng},
  pages        = {37--47},
  publisher    = {Elsevier},
  series       = {Signal Processing},
  title        = {Multi-dimensional grid-less estimation of saturated signals},
  url          = {http://dx.doi.org/},
  volume       = {145},
  year         = {2018},
}