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
- 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:
https://lup.lub.lu.se/record/4645569
- author
- Månsson, Anders
; Jakobsson, Andreas
LU
and Akke, Mikael
LU
- organization
- publishing date
- 2014
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- European Signal Processing Conference
- pages
- 5 pages
- publisher
- EURASIP
- conference name
- 22nd European Signal Processing Conference - EUSIPCO 2014
- conference location
- Lissabon, Portugal
- conference dates
- 2014-09-01 - 2014-09-05
- 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
- 2016-04-01 15:05:40
- date last changed
- 2022-02-05 00:22:27
@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}},
publisher = {{EURASIP}},
title = {{Multidimensional Cramér-Rao Lower Bound for Non-uniformly Sampled NMR Signals}},
url = {{https://lup.lub.lu.se/search/files/4335609/4645570.pdf}},
year = {{2014}},
}