Spectroscopic MR Imaging Using the Spread Spectrum Produced by Oscillating Gradient Fields

Kunio TAKAYA

Spectroscopic MR Imaging Using the Spread Spectrum Produced by Oscillating Gradient Fields

Kunio TAKAYA

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A chemical shift MR method which utilizes a oscillating gradient field is presented in this paper. Frequency modulation resulting from oscillating a gradient field spreads the spectrum that contains both chemical shift and spatial information, over a wide frequency range by using a large modulation factor in FM. The chemical shift spectrum resides within every frequency band segmented by the modulation frequency ω_m. The spectral elements gathered from all such frequency segments for a chemical shift frequency contain the spatial image of that particular chemical shift frequency, despite the distortion introduced by a series of the Bessel functions acting as a point spread function. A sum of several Bessel functions of the first kind J_n(. ) is used to approximate the deconvolution process, since the sum staggered with respect to n has a desirable peaking property useful in deconvolution. This leads to devise a new image reconstruction algorithm based on the simple moving average over the spatial coordinate for which the oscillating gradient is applied. Furthermore, the number of echo measurements necessary for an image size of N N is reduced from N² of the spin echo chemical shift imaging down to N by this method. Simulation results supporting the validity of this method are also presented in this paper.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.3 pp.875-883

Publication Date: 2001/03/01

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Kunio TAKAYA, "Spectroscopic MR Imaging Using the Spread Spectrum Produced by Oscillating Gradient Fields" in IEICE TRANSACTIONS on Fundamentals, vol. E84-A, no. 3, pp. 875-883, March 2001, doi: .
Abstract: A chemical shift MR method which utilizes a oscillating gradient field is presented in this paper. Frequency modulation resulting from oscillating a gradient field spreads the spectrum that contains both chemical shift and spatial information, over a wide frequency range by using a large modulation factor in FM. The chemical shift spectrum resides within every frequency band segmented by the modulation frequency ω_m. The spectral elements gathered from all such frequency segments for a chemical shift frequency contain the spatial image of that particular chemical shift frequency, despite the distortion introduced by a series of the Bessel functions acting as a point spread function. A sum of several Bessel functions of the first kind J_n(. ) is used to approximate the deconvolution process, since the sum staggered with respect to n has a desirable peaking property useful in deconvolution. This leads to devise a new image reconstruction algorithm based on the simple moving average over the spatial coordinate for which the oscillating gradient is applied. Furthermore, the number of echo measurements necessary for an image size of N N is reduced from N² of the spin echo chemical shift imaging down to N by this method. Simulation results supporting the validity of this method are also presented in this paper.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_3_875/_p

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@ARTICLE{e84-a_3_875,
author={Kunio TAKAYA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Spectroscopic MR Imaging Using the Spread Spectrum Produced by Oscillating Gradient Fields},
year={2001},
volume={E84-A},
number={3},
pages={875-883},
abstract={A chemical shift MR method which utilizes a oscillating gradient field is presented in this paper. Frequency modulation resulting from oscillating a gradient field spreads the spectrum that contains both chemical shift and spatial information, over a wide frequency range by using a large modulation factor in FM. The chemical shift spectrum resides within every frequency band segmented by the modulation frequency ω_m. The spectral elements gathered from all such frequency segments for a chemical shift frequency contain the spatial image of that particular chemical shift frequency, despite the distortion introduced by a series of the Bessel functions acting as a point spread function. A sum of several Bessel functions of the first kind J_n(. ) is used to approximate the deconvolution process, since the sum staggered with respect to n has a desirable peaking property useful in deconvolution. This leads to devise a new image reconstruction algorithm based on the simple moving average over the spatial coordinate for which the oscillating gradient is applied. Furthermore, the number of echo measurements necessary for an image size of N N is reduced from N² of the spin echo chemical shift imaging down to N by this method. Simulation results supporting the validity of this method are also presented in this paper.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - Spectroscopic MR Imaging Using the Spread Spectrum Produced by Oscillating Gradient Fields
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 875
EP - 883
AU - Kunio TAKAYA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2001
AB - A chemical shift MR method which utilizes a oscillating gradient field is presented in this paper. Frequency modulation resulting from oscillating a gradient field spreads the spectrum that contains both chemical shift and spatial information, over a wide frequency range by using a large modulation factor in FM. The chemical shift spectrum resides within every frequency band segmented by the modulation frequency ω_m. The spectral elements gathered from all such frequency segments for a chemical shift frequency contain the spatial image of that particular chemical shift frequency, despite the distortion introduced by a series of the Bessel functions acting as a point spread function. A sum of several Bessel functions of the first kind J_n(. ) is used to approximate the deconvolution process, since the sum staggered with respect to n has a desirable peaking property useful in deconvolution. This leads to devise a new image reconstruction algorithm based on the simple moving average over the spatial coordinate for which the oscillating gradient is applied. Furthermore, the number of echo measurements necessary for an image size of N N is reduced from N² of the spin echo chemical shift imaging down to N by this method. Simulation results supporting the validity of this method are also presented in this paper.
ER -