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Exact classification of NMR spectra from NMR signals

DOI:
10.60864/rr1y-6f09
Citation Author(s):
Pedro Izquierdo Lehmann, Aline Xavier, Marcelo E. Andia, Carlos A. Sing Long
Submitted by:
Carlos Sing Long
Last updated:
6 June 2024 - 10:50am
Document Type:
Poster
Document Year:
2024
Event:
Presenters:
Pedro Izquierdo Lehmann, Carlos Sing Long
Paper Code:
SPTM-P2.8
 

Nuclear magnetic resonance (NMR) spectroscopy is routinely used to study the properties of matter. Therefore, different materials can be classified according to their NMR spectra. However, the NMR spectra cannot be observed directly, and only the NMR signal, which is a sum of complex exponentials, is directly observable in practice. A popular approach to recover the spectrum is to perform harmonic retrieval, i.e., to reconstruct exactly the spectrum from the NMR signal. However, even when this approach fails, the spectrum might still be classified accurately. In this work, we model the spectrum as an atomic measure to study the performance of classifying the spectrum from the NMR signal, and to determine how it degrades in the presence of additive noise and changes in field intensity. Although we focus on NMR signals, our results are broadly applicable to sum-of-exponential signals. We show numerical results illustrating our claims.

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