Code and Data supplement to "Incoherence of Partial Component Sampling in multidimensional NMR"
Abstract/Contents
- Abstract
The data and code provided here are supplementary information for the paper “Incoherence of Partial Component Sampling in multidimensional NMR" by H. Monajemi, D.L. Donoho, J.C. Hoch, and A.D. Schuyler. Please read INSTRUCTION.TXT for reproducing the results of the article.
Abstract of the article:
In NMR spectroscopy, random undersampling in the indirect dimensions causes reconstruction artifacts whose size can be bounded
using the so-called {\it coherence}. In experiments with multiple indirect dimensions, new undersampling approaches were recently proposed: random phase detection (RPD) \cite{Maciejewski11} and its generalization, partial component sampling (PCS) \cite{Schuyler13}. The new approaches are fully aware of the fact that high-dimensional experiments generate hypercomplex-valued free induction decays; they randomly acquire only certain low-dimensional components of each high-dimensional hypercomplex entry. We provide a classification of various hypercomplex-aware undersampling schemes, and define a hypercomplex-aware coherence appropriate for such undersampling schemes; we then use it to quantify undersampling artifacts of RPD and various PCS schemes.
Description
Type of resource | software, multimedia |
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Date created | 2016 |
Creators/Contributors
Author | Monajemi, Hatef | |
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Author | Donoho, David L. | |
Author | Hoch, Jeffrey C. | |
Author | Schuyler, Adam D. |
Subjects
Subject | Random phase detection |
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Subject | non-uniform sampling |
Subject | hypercomplex algebra |
Subject | sparse recovery |
Genre | Dataset |
Bibliographic information
Related Publication | Monajemi, H., Donoho, D.L., Hoch, J.C., Schuyler, A.D. Incoherence of Partial-Component Sampling in Multidimensional NMR. (2017). ArXiv:1702.01830. https://arxiv.org/abs/1702.01830 |
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Location | https://purl.stanford.edu/xn744fp3001 |
Access conditions
- Use and reproduction
- User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
- License
- This work is licensed under an Open Data Commons Public Domain Dedication & License 1.0.
Preferred citation
- Preferred Citation
- Monajemi, Hatef and Donoho, David L. and Hoch, Jeffrey C. and Schuyler, Adam D. (2016). Code and Data supplement to "Incoherence of Partial Component Sampling in multidimensional NMR". Stanford Digital Repository. Available at: http://purl.stanford.edu/xn744fp3001
Collection
Stanford Research Data
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- Contact
- monajemi@stanford.edu
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