In vitro proton magnetic resonance spectroscopy at 14\,T for benign and malignant ovary. II: Signal processing by the parametric fast Padé transform

DOI10.1007/S10910-022-01357-4zbMath1497.92140OpenAlexW4280508445MaRDI QIDQ2157583

Dževad Belkić, Karen Belkić

Publication date: 22 July 2022

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

Full work available at URL: https://doi.org/10.1007/s10910-022-01357-4

zbMATH Keywords

fast Fourier transformfast Padé transformNMR spectroscopyderivative estimationsOvarian tumor

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Padé approximation (41A21)

Related Items (3)

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

Cites Work

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