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 different sampling
schemes for a real 15N-HSQC NMR experiment.
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.
Original language | English |
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Title of host publication | European Signal Processing Conference |
Publisher | EURASIP |
Number of pages | 5 |
Publication status | Published - 2014 |
Event | 22nd European Signal Processing Conference - EUSIPCO 2014 - Lissabon, Portugal Duration: 2014 Sept 1 → 2014 Sept 5 Conference number: 22 |
Publication series
Name | |
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ISSN (Print) | 2219-5491 |
Conference
Conference | 22nd European Signal Processing Conference - EUSIPCO 2014 |
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Country/Territory | Portugal |
City | Lissabon |
Period | 2014/09/01 → 2014/09/05 |
Subject classification (UKÄ)
- Probability Theory and Statistics