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

Anders Månsson, Andreas Jakobsson, Mikael Akke

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

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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.
Original languageEnglish
Title of host publicationEuropean Signal Processing Conference
PublisherEURASIP
Number of pages5
Publication statusPublished - 2014
Event22nd European Signal Processing Conference - EUSIPCO 2014 - Lissabon, Portugal
Duration: 2014 Sept 12014 Sept 5
Conference number: 22

Publication series

Name
ISSN (Print)2219-5491

Conference

Conference22nd European Signal Processing Conference - EUSIPCO 2014
Country/TerritoryPortugal
CityLissabon
Period2014/09/012014/09/05

Subject classification (UKÄ)

  • Probability Theory and Statistics

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