Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incoherence of Partial-Component Sampling in multidimensional NMR   In NMR spectroscopy, 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.

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The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn