Feasibility study for applying the lower-order derivative fast Padé transform to measured time signals

DOI10.1007/s10910-019-01077-2zbMath1455.94048OpenAlexW2990017374MaRDI QIDQ2299054

Karen Belkić, Dževad Belkić

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-019-01077-2

zbMATH Keywords

signal processingNMR spectroscopyshape estimationcerebral asphyxiaderivative fast Padé transform

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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Cites Work

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• Validation of reconstructed component spectra from non-parametric derivative envelopes: comparison with component lineshapes from parametric derivative estimations with the solved quantification problem
• Exact quantification by the nonparametric fast Padé transform using only shape estimation of high-order derivatives of envelopes
• Explicit extraction of absorption peak positions, widths and heights using higher order derivatives of total shape spectra by nonparametric processing of time signals as complex damped multi-exponentials
• Automatic self-correcting in signal processing for magnetic resonance spectroscopy: noise reduction, resolution improvement and splitting overlapped peaks
• Review of recent applications of the conventional and derivative fast Padé transform for magnetic resonance spectroscopy

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