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An ESPRIT-based parameter estimator for spectroscopic data

Gudmundson, Erik LU ; Wirfält, Petter ; Jakobsson, Andreas LU orcid and Jansson, Magnus (2012) 2012 IEEE Statistical Signal Processing Workshop (SSP) p.77-80
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... (More)
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. (Less)
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
subspace techniques, parameter estimation, damped sinusoids, multidimensional signal processing, NQR, NMR
host publication
2012 IEEE Statistical Signal Processing Workshop (SSP), Proceedings of
pages
4 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
2012 IEEE Statistical Signal Processing Workshop (SSP)
conference location
Ann Arbor, Michigan, United States
conference dates
2012-08-05 - 2012-08-08
external identifiers
  • scopus:84868231140
ISBN
978-1-4673-0183-1 (online)
DOI
10.1109/SSP.2012.6319820
language
English
LU publication?
yes
id
c693bf31-2490-43a5-a75f-27fc7e407481 (old id 3167916)
date added to LUP
2016-04-04 11:07:55
date last changed
2022-02-28 19:30:26
@inproceedings{c693bf31-2490-43a5-a75f-27fc7e407481,
  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.}},
  author       = {{Gudmundson, Erik and Wirfält, Petter and Jakobsson, Andreas and Jansson, Magnus}},
  booktitle    = {{2012 IEEE Statistical Signal Processing Workshop (SSP), Proceedings of}},
  isbn         = {{978-1-4673-0183-1 (online)}},
  keywords     = {{subspace techniques; parameter estimation; damped sinusoids; multidimensional signal processing; NQR; NMR}},
  language     = {{eng}},
  pages        = {{77--80}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{An ESPRIT-based parameter estimator for spectroscopic data}},
  url          = {{https://lup.lub.lu.se/search/files/5701579/3167917.pdf}},
  doi          = {{10.1109/SSP.2012.6319820}},
  year         = {{2012}},
}