Articles | Volume 7, issue 2
https://doi.org/10.5194/mr-7-125-2026
https://doi.org/10.5194/mr-7-125-2026
Research article
 | 
14 Sep 2026
Research article |  | 14 Sep 2026

Simulating the extraction of signal parameters and spectrograms for non-stationary NMR signals

Jixin Chen

Cited articles

Bothner-By, A. A. and Naar-Colin, C.: The Proton Magnetic Resonance Spectra of 2,3-Disubstituted n-Butanes, J. Am. Chem. Soc., 84, 743–747, https://doi.org/10.1021/ja00864a013, 1962. 
Castellano, S. and Bothner-By, A. A.: Analysis of NMR Spectra by Least Squares, J. Chem. Phys., 41, 3863–3869, https://doi.org/10.1063/1.1725826, 1964. 
Chen, J.: pyjcfit, GitHub [code], https://github.com/nkchenjx/pyjcfit (last access: 25 August 2026), 2023a. 
Chen, J.: jcfit, GitHub [code], https://github.com/nkchenjx/jcfit (last access: 25 August 2026), 2023b. 
Chen, J.: Structured stochastic curve fitting without gradient calculation, Journal of Computational Mathematics and Data Science, 12, 100097, https://doi.org/10.1016/j.jcmds.2024.100097, 2024. 
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Short summary
This simulation study compares Fourier transform, wavelet analysis, and direct nonlinear time-domain fitting for stationary, very short, and non-stationary nuclear magnetic resonance (NMR) free induction decay (FID) signals. It examines dynamically broadened signals, point-sampling approximations to finite collection windows, and the capabilities and limitations of wave fitting for parameter estimation from short, relatively simple FID segments.
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