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Related Concept Videos

¹³C NMR: ¹H–¹³C Decoupling01:04

¹³C NMR: ¹H–¹³C Decoupling

The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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...
2D NMR: Overview of Homonuclear Correlation Techniques01:16

2D NMR: Overview of Homonuclear Correlation Techniques

Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other axis.
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...

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A Multimodal Wide-Field Fourier-Transform Raman Microscope
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Receive array magnetic resonance spectroscopy: Whitened singular value decomposition (WSVD) gives optimal Bayesian

Christopher T Rodgers1, Matthew D Robson

  • 1Oxford Centre for Clinical Magnetic Resonance Research, University of Oxford, John Radcliffe Hospital, Oxford, UK. pubs-c@rodgers.org.uk

Magnetic Resonance in Medicine
|April 8, 2010
PubMed
Summary

This study introduces a new algorithm for Magnetic Resonance Imaging (MRI) receive array coils. The novel method significantly improves signal-to-noise ratio by effectively combining correlated noise spectra.

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Area of Science:

  • Medical Imaging
  • Magnetic Resonance Imaging (MRI)
  • Spectroscopy

Background:

  • Receive array coils are crucial for modern MRI and MR spectroscopy, enhancing signal-to-noise ratio and field of view.
  • Current methods for combining spectra from array elements often overlook correlated noise, leading to suboptimal results.

Purpose of the Study:

  • To develop an efficient, robust, and automated algorithm for combining spectra from MRI receive arrays.
  • To address the challenge of correlated noise in multi-element array experiments.

Main Methods:

  • The study introduces a novel algorithm utilizing noise whitening and singular value decomposition (SVD).
  • This approach aims to generate a single combined spectrum with maximum likelihood in the presence of correlated noise.

Main Results:

  • Simulations demonstrated the superiority of the new algorithm over previous methods.
  • Experiments in phantoms and in vivo (brain, heart, liver) showed signal-to-noise ratio improvements of up to 60% across various field strengths (1.5 T, 3 T) and array sizes (8-32 elements).
  • The algorithm proved most advantageous for large arrays, correlated noise, and low signal-to-noise conditions.

Conclusions:

  • The developed noise whitening and SVD algorithm provides significant signal-to-noise ratio improvements in MRI.
  • This method offers a robust and automated solution for combining spectra from receive array coils, particularly beneficial for advanced imaging scenarios.