Signal and noise of Fourier reconstructed fMRI data

Journal of Neuroscience Methods
Daniel B RoweRaymond G Hoffmann


In magnetic resonance imaging, complex-valued measurements are acquired in time corresponding to spatial frequency measurements in space generally placed on a Cartesian rectangular grid. These complex-valued measurements are transformed into a measured complex-valued image by an image reconstruction method. The most common image reconstruction method is the inverse Fourier transform. It is known that image voxels are spatially correlated. A property of the inverse Fourier transformation is that uncorrelated spatial frequency measurements yield spatially uncorrelated voxel measurements and vice versa. Spatially correlated voxel measurements result from correlated spatial frequency measurements. This paper describes the resulting correlation structure between voxel measurements when inverse Fourier reconstructing correlated spatial frequency measurements. A real-valued representation for the complex-valued measurements is introduced along with an associated multivariate normal distribution. One potential application of this methodology is that there may be a correlation structure introduced by the measurement process or adjustments made to the spatial frequencies. This would produce spatially correlated voxel measurements after i...Continue Reading


Jul 1, 1995·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·P Jezzard, R S Balaban
Aug 1, 1993·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·P A BandettiniJ S Hyde
Oct 1, 1995·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·B BiswalJ S Hyde
Dec 1, 1995·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·H Gudbjartsson, S Patz
Apr 1, 1996·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·L P PanychJ Hennig
Jan 5, 2002·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Ravi S Menon
Apr 28, 2004·NeuroImage·Brent R Logan, Daniel B Rowe
Nov 6, 2004·NeuroImage·Daniel B Rowe, Brent R Logan
May 14, 2005·IEEE Transactions on Medical Imaging·J Sijbers, A J den Dekker


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Sep 13, 2011·Magnetic Resonance Imaging·Iain P BruceDaniel B Rowe
Jun 26, 2009·Magnetic Resonance Imaging·Daniel B Rowe, E Mark Haacke
Jul 18, 2009·Magnetic Resonance Imaging·Daniel B RoweAndrew S Nencka
Mar 19, 2016·Magnetic Resonance Imaging·Mary C Kociuba, Daniel B Rowe
Nov 16, 2013·IEEE Transactions on Medical Imaging·Iain P Bruce, Daniel B Rowe
Jan 20, 2015·Magnetic Resonance Imaging·M Muge KaramanDaniel B Rowe

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