An ESPRIT-based parameter estimator for spectroscopic data

Erik Gudmundson; Petter Wirfält; Andreas Jakobsson; Magnus Jansson

doi:10.1109/SSP.2012.6319820

An ESPRIT-based parameter estimator for spectroscopic data

Erik Gudmundson, Petter Wirfält, Andreas Jakobsson, Magnus Jansson

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

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Abstract

The pulse spin-locking sequence is a common excitation sequence for magnetic resonance and nuclear quadrupole resonance signals, with the resulting measurement data being well modeled as a train of exponentially damped sinusoidals. In this paper, we derive an ESPRIT-based estimator for such signals, together with the corre- sponding Cramér-Rao lower bound. The proposed estimator is com- putationally efficient and only requires prior knowledge of the number of spectral lines, which is in general available in the considered applications. Numerical simulations indicate that the proposed method is close to statistically efficient, and that it offers an attractive approach for initialization of existing statistically efficient gradient or search based techniques.

Original language	English
Title of host publication	2012 IEEE Statistical Signal Processing Workshop (SSP), Proceedings of
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	77-80
Number of pages	4
ISBN (Print)	978-1-4673-0183-1 (online)
DOIs	https://doi.org/10.1109/SSP.2012.6319820
Publication status	Published - 2012
Event	2012 IEEE Statistical Signal Processing Workshop (SSP) - Ann Arbor, Michigan, United States Duration: 2012 Aug 5 → 2012 Aug 8

Conference

Conference	2012 IEEE Statistical Signal Processing Workshop (SSP)
Country/Territory	United States
City	Ann Arbor, Michigan
Period	2012/08/05 → 2012/08/08

Subject classification (UKÄ)

Probability Theory and Statistics

Free keywords

subspace techniques
parameter estimation
damped sinusoids
multidimensional signal processing
NQR
NMR

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10.1109/SSP.2012.6319820

GudmundsonWJJ12_lup

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title = "An ESPRIT-based parameter estimator for spectroscopic data",

abstract = "The pulse spin-locking sequence is a common excitation sequence for magnetic resonance and nuclear quadrupole resonance signals, with the resulting measurement data being well modeled as a train of exponentially damped sinusoidals. In this paper, we derive an ESPRIT-based estimator for such signals, together with the corre- sponding Cram{\'e}r-Rao lower bound. The proposed estimator is com- putationally efficient and only requires prior knowledge of the number of spectral lines, which is in general available in the considered applications. Numerical simulations indicate that the proposed method is close to statistically efficient, and that it offers an attractive approach for initialization of existing statistically efficient gradient or search based techniques.",

keywords = "subspace techniques, parameter estimation, damped sinusoids, multidimensional signal processing, NQR, NMR",

author = "Erik Gudmundson and Petter Wirf{\"a}lt and Andreas Jakobsson and Magnus Jansson",

year = "2012",

doi = "10.1109/SSP.2012.6319820",

language = "English",

isbn = "978-1-4673-0183-1 (online)",

pages = "77--80",

booktitle = "2012 IEEE Statistical Signal Processing Workshop (SSP), Proceedings of",

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

address = "United States",

note = "2012 IEEE Statistical Signal Processing Workshop (SSP) ; Conference date: 05-08-2012 Through 08-08-2012",

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Gudmundson, E, Wirfält, P, Jakobsson, A & Jansson, M 2012, An ESPRIT-based parameter estimator for spectroscopic data. in 2012 IEEE Statistical Signal Processing Workshop (SSP), Proceedings of. IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 77-80, 2012 IEEE Statistical Signal Processing Workshop (SSP), Ann Arbor, Michigan, United States, 2012/08/05. https://doi.org/10.1109/SSP.2012.6319820

An ESPRIT-based parameter estimator for spectroscopic data. / Gudmundson, Erik; Wirfält, Petter; Jakobsson, Andreas et al.
2012 IEEE Statistical Signal Processing Workshop (SSP), Proceedings of. IEEE - Institute of Electrical and Electronics Engineers Inc., 2012. p. 77-80.

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

TY - GEN

T1 - An ESPRIT-based parameter estimator for spectroscopic data

AU - Gudmundson, Erik

AU - Wirfält, Petter

AU - Jakobsson, Andreas

AU - Jansson, Magnus

PY - 2012

Y1 - 2012

N2 - The pulse spin-locking sequence is a common excitation sequence for magnetic resonance and nuclear quadrupole resonance signals, with the resulting measurement data being well modeled as a train of exponentially damped sinusoidals. In this paper, we derive an ESPRIT-based estimator for such signals, together with the corre- sponding Cramér-Rao lower bound. The proposed estimator is com- putationally efficient and only requires prior knowledge of the number of spectral lines, which is in general available in the considered applications. Numerical simulations indicate that the proposed method is close to statistically efficient, and that it offers an attractive approach for initialization of existing statistically efficient gradient or search based techniques.

AB - The pulse spin-locking sequence is a common excitation sequence for magnetic resonance and nuclear quadrupole resonance signals, with the resulting measurement data being well modeled as a train of exponentially damped sinusoidals. In this paper, we derive an ESPRIT-based estimator for such signals, together with the corre- sponding Cramér-Rao lower bound. The proposed estimator is com- putationally efficient and only requires prior knowledge of the number of spectral lines, which is in general available in the considered applications. Numerical simulations indicate that the proposed method is close to statistically efficient, and that it offers an attractive approach for initialization of existing statistically efficient gradient or search based techniques.

KW - subspace techniques

KW - parameter estimation

KW - damped sinusoids

KW - multidimensional signal processing

KW - NQR

KW - NMR

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DO - 10.1109/SSP.2012.6319820

M3 - Paper in conference proceeding

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EP - 80

BT - 2012 IEEE Statistical Signal Processing Workshop (SSP), Proceedings of

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

T2 - 2012 IEEE Statistical Signal Processing Workshop (SSP)

Y2 - 5 August 2012 through 8 August 2012

ER -

An ESPRIT-based parameter estimator for spectroscopic data

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