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Mismatched Estimation of Polynomially Damped Signals

Elvander, Filip LU ; Sward, Johan LU and Jakobsson, Andreas LU orcid (2019) 8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 In 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings p.246-250
Abstract

In this work, we consider the problem of estimating the parameters of polynomially damped sinusoidal signals, commonly encountered in, for instance, spectroscopy. Generally, finding the parameter values of such signals constitutes a high-dimensional problem, often further complicated by not knowing the number of signal components or their specific signal structures. In order to alleviate the computational burden, we herein propose a mismatched estimation procedure using simplified, approximate signal models. Despite the approximation, we show that such a procedure is expected to yield predictable results, allowing for statistically and computationally efficient estimates of the signal parameters.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
computational efficiency, Lorentzian and Voigt line shapes, Mismatched estimation, NMR spectroscopy
host publication
2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings
series title
2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings
article number
9022668
pages
5 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019
conference location
Le Gosier, Guadeloupe
conference dates
2019-12-15 - 2019-12-18
external identifiers
  • scopus:85082381726
ISBN
9781728155494
DOI
10.1109/CAMSAP45676.2019.9022668
language
English
LU publication?
yes
id
c2a90100-146f-40da-bfc2-7ce6d2875534
date added to LUP
2020-04-14 13:12:15
date last changed
2022-04-18 21:45:44
@inproceedings{c2a90100-146f-40da-bfc2-7ce6d2875534,
  abstract     = {{<p>In this work, we consider the problem of estimating the parameters of polynomially damped sinusoidal signals, commonly encountered in, for instance, spectroscopy. Generally, finding the parameter values of such signals constitutes a high-dimensional problem, often further complicated by not knowing the number of signal components or their specific signal structures. In order to alleviate the computational burden, we herein propose a mismatched estimation procedure using simplified, approximate signal models. Despite the approximation, we show that such a procedure is expected to yield predictable results, allowing for statistically and computationally efficient estimates of the signal parameters.</p>}},
  author       = {{Elvander, Filip and Sward, Johan and Jakobsson, Andreas}},
  booktitle    = {{2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings}},
  isbn         = {{9781728155494}},
  keywords     = {{computational efficiency; Lorentzian and Voigt line shapes; Mismatched estimation; NMR spectroscopy}},
  language     = {{eng}},
  pages        = {{246--250}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings}},
  title        = {{Mismatched Estimation of Polynomially Damped Signals}},
  url          = {{http://dx.doi.org/10.1109/CAMSAP45676.2019.9022668}},
  doi          = {{10.1109/CAMSAP45676.2019.9022668}},
  year         = {{2019}},
}