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Multidimensional Cramér-Rao Lower Bound for Non-uniformly Sampled NMR Signals

Månsson, Anders; Jakobsson, Andreas LU and Akke, Mikael LU (2014) 22nd European Signal Processing Conference - EUSIPCO 2014 In European Signal Processing Conference
Abstract
In this work, we extend recent results on the Cramé r-Rao lower

bound for multidimensional non-uniformly sampled Nuclear

Magnetic Resonance (NMR) signals. The used signal model

is more general than earlier models, allowing for the typically

present variance differences between the direct and the dif-

ferent indirect sampling dimensions. The presented bound is

verified with earlier presented 1-and R-dimensional bounds

as well as with the obtainable estimation accuracy using the

statistically efficient non-linear least squares estimator. Finally,

the usability of the presented bound is illustrated as a mea-

sure of the obtainable accuracy using three... (More)
In this work, we extend recent results on the Cramé r-Rao lower

bound for multidimensional non-uniformly sampled Nuclear

Magnetic Resonance (NMR) signals. The used signal model

is more general than earlier models, allowing for the typically

present variance differences between the direct and the dif-

ferent indirect sampling dimensions. The presented bound is

verified with earlier presented 1-and R-dimensional bounds

as well as with the obtainable estimation accuracy using the

statistically efficient non-linear least squares estimator. Finally,

the usability of the presented bound is illustrated as a mea-

sure of the obtainable accuracy using three different sampling

schemes for a real 15N-HSQC NMR experiment. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
European Signal Processing Conference
pages
5 pages
publisher
EURASIP
conference name
22nd European Signal Processing Conference - EUSIPCO 2014
external identifiers
  • scopus:84911896934
ISSN
2219-5491
language
English
LU publication?
yes
id
8742b020-2742-4877-9e10-cb32c4abc310 (old id 4645569)
alternative location
http://www.eurasip.org/Proceedings/Eusipco/Eusipco2014/HTML/papers/1569915415.pdf
date added to LUP
2014-10-22 17:55:10
date last changed
2017-03-16 09:33:07
@inproceedings{8742b020-2742-4877-9e10-cb32c4abc310,
  abstract     = {In this work, we extend recent results on the Cramé r-Rao lower<br/><br>
bound for multidimensional non-uniformly sampled Nuclear<br/><br>
Magnetic Resonance (NMR) signals. The used signal model<br/><br>
is more general than earlier models, allowing for the typically<br/><br>
present variance differences between the direct and the dif-<br/><br>
ferent indirect sampling dimensions. The presented bound is<br/><br>
verified with earlier presented 1-and R-dimensional bounds<br/><br>
as well as with the obtainable estimation accuracy using the<br/><br>
statistically efficient non-linear least squares estimator. Finally,<br/><br>
the usability of the presented bound is illustrated as a mea-<br/><br>
sure of the obtainable accuracy using three different sampling<br/><br>
schemes for a real 15N-HSQC NMR experiment.},
  author       = {Månsson, Anders and Jakobsson, Andreas and Akke, Mikael},
  booktitle    = {European Signal Processing Conference},
  issn         = {2219-5491},
  language     = {eng},
  pages        = {5},
  publisher    = {EURASIP},
  title        = {Multidimensional Cramér-Rao Lower Bound for Non-uniformly Sampled NMR Signals},
  year         = {2014},
}