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NMR Spectrometers: Resolution and Error Correction01:14

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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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NMR spectrometers consist of a strong magnet, a radiofrequency transmitter, and a detector attached to a computer console for recording spectra of samples containing NMR-active nuclei. In first-generation NMR instruments called continuous-wave spectrometers, the resonance frequencies of the nuclei are determined by frequency-sweep or field-sweep methods. The magnetic field strength is fixed and the rf signal is swept in the former, while the radiofrequency signal is fixed and the magnetic field...
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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
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A conventional Raman spectrophotometer includes a laser source, a sample holding system, a wavelength selector, and a detector.
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Updated: Oct 9, 2025

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MR spectroscopy frequency and phase correction using convolutional neural networks.

David J Ma1, Hortense A-M Le1, Yuming Ye1

  • 1Department of Biomedical Engineering, Columbia University, New York, New York, USA.

Magnetic Resonance in Medicine
|December 21, 2021
PubMed
Summary
This summary is machine-generated.

A novel convolutional neural network (CNN) approach offers fast and accurate frequency-and-phase correction (FPC) for magnetic resonance spectroscopy (MRS) data. This method demonstrates superior robustness to noise and improved spectral quality compared to existing techniques.

Keywords:
CNNMEGA-PRESSMRSdeep learningfrequency correctionphase correction

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Area of Science:

  • Medical Imaging
  • Spectroscopy
  • Artificial Intelligence

Background:

  • Magnetic Resonance Spectroscopy (MRS) is crucial for non-invasive metabolic profiling.
  • Frequency- and phase-correction (FPC) is essential for accurate MRS data analysis.
  • Current FPC methods can be limited in speed and robustness.

Purpose of the Study:

  • To introduce a novel Convolutional Neural Network (CNN)-based approach for automated FPC of MRS data.
  • To achieve fast and accurate FPC for single-voxel MEGA-PRESS MRS data.
  • To evaluate the CNN model's performance against existing deep learning and conventional methods.

Main Methods:

  • Trained and validated two CNNs (frequency and phase) on simulated and in vivo MEGA-PRESS MRS data with artificial offsets.
  • Compared CNN performance against Multilayer Perceptrons (MLP) and conventional spectral registration (SR) methods.
  • Assessed model robustness by adding random noise and applying varying frequency/phase offsets.

Main Results:

  • The CNN model exhibited greater robustness to noise than MLP, with lower mean absolute errors in frequency and phase offset prediction.
  • CNN-based FPC outperformed MLP and SR methods on in vivo datasets, even with added offsets.
  • Quantitatively improved spectral quality was observed using the CNN approach.

Conclusions:

  • CNN-based FPC provides an automated solution for MRS data preprocessing.
  • The developed CNN approach significantly enhances MRS spectral quality compared to state-of-the-art methods.
  • This technique holds promise for accelerating and improving MRS data analysis in research and clinical settings.