Optimized derivative fast Fourier transform with high resolution and low noise from encoded time signals: ovarian NMR spectroscopy (Q6149340)

scientific article; zbMATH DE number 7812877

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English	Optimized derivative fast Fourier transform with high resolution and low noise from encoded time signals: ovarian NMR spectroscopy	scientific article; zbMATH DE number 7812877

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instance of

scholarly article

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title

Optimized derivative fast Fourier transform with high resolution and low noise from encoded time signals: ovarian NMR spectroscopy (English)

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5 March 2024

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zbMATH Keywords

optimized derivative fast Fourier transform

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resolution enhancement

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noise reduction

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NMR spectroscopy

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MaRDI profile type

Publication

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cites work

An Algorithm for the Machine Calculation of Complex Fourier Series

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Q3523757

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Automatic self-correcting in signal processing for magnetic resonance spectroscopy: noise reduction, resolution improvement and splitting overlapped peaks

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Exact quantification by the nonparametric fast Padé transform using only shape estimation of high-order derivatives of envelopes

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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

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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

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Review of recent applications of the conventional and derivative fast Padé transform for magnetic resonance spectroscopy

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

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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

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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

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\textit{In vivo} derivative NMR spectroscopy for simultaneous improvements of resolution and signal-to-noise-ratio: case study, glioma

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High-resolution at 3\,T for in vivo derivative NMR spectroscopy in medical diagnostics of ovarian tumor: exact quantification by shape estimations

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

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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

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Derivative shape estimations with resolved overlapped peaks and reduced noise for time signals encoded by NMR spectroscopy with and without water suppression

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In vivo magnetic resonance spectroscopy for ovarian cancer diagnostics: quantification by the fast Padé transform

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published in

Journal of Mathematical Chemistry

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10910-023-01553-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:6149340