Derivative NMR spectroscopy for J-coupled multiplet resonances using short time signals (0.5KB) encoded at low magnetic field strengths (1.5T). II: Water unsuppressed

DOI10.1007/S10910-020-01199-YOpenAlexW3115049334MaRDI QIDQ830834

Dževad Belkić, Karen Belkić

Publication date: 10 May 2021

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

Full work available at URL: https://doi.org/10.1007/s10910-020-01199-y

zbMATH Keywords

fast Padé transformNMR spectroscopyencoded short FIDsJ-couplingprecise quantification

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (7)

In vitro proton magnetic resonance spectroscopy at 14\,T for benign and malignant ovary. II: Signal processing by the parametric fast Padé transform ⋮ Derivative shape estimations with resolved overlapped peaks and reduced noise for time signals encoded by NMR spectroscopy with and without water suppression ⋮ Optimized derivative fast Fourier transform with high resolution and low noise from encoded time signals: ovarian NMR spectroscopy ⋮ Inverse problem for reconstruction of components from derivative envelope in ovarian MRS: citrate quartet as a cancer biomarker with considerably decreased levels in malignant vs benign samples ⋮ \textit{In vivo} derivative NMR spectroscopy for simultaneous improvements of resolution and signal-to-noise-ratio: case study, glioma ⋮ High-resolution at 3\,T for in vivo derivative NMR spectroscopy in medical diagnostics of ovarian tumor: exact quantification by shape estimations ⋮ In vitro proton magnetic resonance spectroscopy at 14T for benign and malignant ovary. I: Signal processing by the nonparametric fast Padé transform

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• In vivo magnetic resonance spectroscopy for ovarian cancer diagnostics: quantification by the fast Padé transform
• 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
• The general concept of signal-noise separation (SNS): mathematical aspects and implementation in magnetic resonance spectroscopy
• Feasibility study for applying the lower-order derivative fast Padé transform to measured time signals
• Review of recent applications of the conventional and derivative fast Padé transform for magnetic resonance spectroscopy

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