Signal and noise of Fourier reconstructed fMRI data

Journal of Neuroscience Methods
Daniel B RoweRaymond G Hoffmann

Abstract

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

References

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

Citations

Aug 19, 2014·Brain Connectivity·M Muge KaramanDaniel B Rowe
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

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Hereditary Sensory Autonomic Neuropathy

Hereditary Sensory Autonomic Neuropathies are a group of inherited neurodegenerative disorders characterized clinically by loss of sensation and autonomic dysfunction. Here is the latest research on these neuropathies.

Spatio-Temporal Regulation of DNA Repair

DNA repair is a complex process regulated by several different classes of enzymes, including ligases, endonucleases, and polymerases. This feed focuses on the spatial and temporal regulation that accompanies DNA damage signaling and repair enzymes and processes.

Glut1 Deficiency

Glut1 deficiency, an autosomal dominant, genetic metabolic disorder associated with a deficiency of GLUT1, the protein that transports glucose across the blood brain barrier, is characterized by mental and motor developmental delays and infantile seizures. Follow the latest research on Glut1 deficiency with this feed.

Separation Anxiety

Separation anxiety is a type of anxiety disorder that involves excessive distress and anxiety with separation. This may include separation from places or people to which they have a strong emotional connection with. It often affects children more than adults. Here is the latest research on separation anxiety.

KIF1A Associated Neurological Disorder

KIF1A associated neurological disorder (KAND) is a rare neurodegenerative condition caused by mutations in the KIF1A gene. KAND may present with a wide range and severity of symptoms including stiff or weak leg muscles, low muscle tone, a lack of muscle coordination and balance, and intellectual disability. Find the latest research on KAND here.

Regulation of Vocal-Motor Plasticity

Dopaminergic projections to the basal ganglia and nucleus accumbens shape the learning and plasticity of motivated behaviors across species including the regulation of vocal-motor plasticity and performance in songbirds. Discover the latest research on the regulation of vocal-motor plasticity here.