Mismatched Estimation of Polynomially Damped Signals

Filip Elvander; Johan Sward; Andreas Jakobsson

doi:10.1109/CAMSAP45676.2019.9022668

Mismatched Estimation of Polynomially Damped Signals

Filip Elvander, Johan Sward, Andreas Jakobsson

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	246-250
Number of pages	5
ISBN (Electronic)	9781728155494
DOIs	https://doi.org/10.1109/CAMSAP45676.2019.9022668
Publication status	Published - 2019
Event	8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Le Gosier, Guadeloupe Duration: 2019 Dec 15 → 2019 Dec 18

Publication series

Name	2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings

Conference

Conference	8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019
Country/Territory	Guadeloupe
City	Le Gosier
Period	2019/12/15 → 2019/12/18

Subject classification (UKÄ)

Mathematics
Signal Processing

Free keywords

computational efficiency
Lorentzian and Voigt line shapes
Mismatched estimation
NMR spectroscopy

Access to Document

10.1109/CAMSAP45676.2019.9022668

1 Doctoral Thesis (compilation)

Modeling and Sampling of Spectrally Structured Signals
Elvander, F., 2020, Centre for the Mathematical sciences, Lund University. 256 p.
Research output: Thesis › Doctoral Thesis (compilation)

Open Access
File

Cite this

Elvander, F., Sward, J., & Jakobsson, A. (2019). Mismatched Estimation of Polynomially Damped Signals. In 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings (pp. 246-250). Article 9022668 (2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings). IEEE - Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CAMSAP45676.2019.9022668

Elvander, Filip ; Sward, Johan ; Jakobsson, Andreas. / Mismatched Estimation of Polynomially Damped Signals. 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings. IEEE - Institute of Electrical and Electronics Engineers Inc., 2019. pp. 246-250 (2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings).

@inproceedings{c2a90100146f40dabfc27ce6d2875534,

title = "Mismatched Estimation of Polynomially Damped Signals",

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.",

keywords = "computational efficiency, Lorentzian and Voigt line shapes, Mismatched estimation, NMR spectroscopy",

author = "Filip Elvander and Johan Sward and Andreas Jakobsson",

year = "2019",

doi = "10.1109/CAMSAP45676.2019.9022668",

language = "English",

series = "2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

pages = "246--250",

booktitle = "2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings",

address = "United States",

note = "8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 ; Conference date: 15-12-2019 Through 18-12-2019",

}

Elvander, F, Sward, J & Jakobsson, A 2019, Mismatched Estimation of Polynomially Damped Signals. in 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings., 9022668, 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings, IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 246-250, 8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019, Le Gosier, Guadeloupe, 2019/12/15. https://doi.org/10.1109/CAMSAP45676.2019.9022668

Mismatched Estimation of Polynomially Damped Signals. / Elvander, Filip; Sward, Johan; Jakobsson, Andreas.
2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings. IEEE - Institute of Electrical and Electronics Engineers Inc., 2019. p. 246-250 9022668 (2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Mismatched Estimation of Polynomially Damped Signals

AU - Elvander, Filip

AU - Sward, Johan

AU - Jakobsson, Andreas

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - computational efficiency

KW - Lorentzian and Voigt line shapes

KW - Mismatched estimation

KW - NMR spectroscopy

U2 - 10.1109/CAMSAP45676.2019.9022668

DO - 10.1109/CAMSAP45676.2019.9022668

M3 - Paper in conference proceeding

T3 - 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings

SP - 246

EP - 250

BT - 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 8th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019

Y2 - 15 December 2019 through 18 December 2019

ER -

Elvander F, Sward J, Jakobsson A. Mismatched Estimation of Polynomially Damped Signals. In 2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings. IEEE - Institute of Electrical and Electronics Engineers Inc. 2019. p. 246-250. 9022668. (2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2019 - Proceedings). doi: 10.1109/CAMSAP45676.2019.9022668

Mismatched Estimation of Polynomially Damped Signals

Abstract

Publication series

Conference

Subject classification (UKÄ)

Free keywords

Access to Document

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Research output

Modeling and Sampling of Spectrally Structured Signals

Cite this