Parameter estimation in the magnitude-only and complex-valued fMRI data models

NeuroImage
Daniel B Rowe

Abstract

In functional magnetic resonance imaging, voxel time courses are complex-valued data but are traditionally converted to real magnitude-only data ones. At a large signal-to-noise ratio (SNR), the magnitude-only data Ricean distribution is approximated by a normal distribution that has been suggested as reasonable in magnitude-only data magnetic resonance images for an SNR of 5 and potentially as low as 3. A complex activation model has been recently introduced by Rowe and Logan [Rowe, D.B., and Logan, B.R. (2004). A complex way to compute fMRI activation. NeuroImage, 23 (3):1078-1092] that is valid for all SNRs. The properties of the parameter estimators and activation statistic for these two models and a more accurate Ricean approximation based on a Taylor series expansion are characterized in terms of bias, variance, and Cramer-Rao lower bound. It was found that the unbiased estimators in the complex model continued to be unbiased for lower SNRs while those of the normal magnitude-only data model became biased as the SNR decreased and at differing levels for the regression coefficients. The unbiased parameter estimators from the approximate magnitude-only Ricean Taylor model were unbiased to lower SNRs than the magnitude-only ...Continue Reading

References

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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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Citations

Jan 1, 2010·Sensors·Fabio BaseliceVito Pascazio
Jul 18, 2009·Magnetic Resonance Imaging·Daniel B RoweAndrew S Nencka
Dec 13, 2006·Journal of Neuroscience Methods·Daniel B RoweRaymond G Hoffmann
Apr 26, 2007·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Jongho LeeJohn M Pauly
Feb 25, 2009·IEEE Transactions on Medical Imaging·Yongmei Michelle Wang, Jing Xia
Mar 30, 2006·IEEE Engineering in Medicine and Biology Magazine : the Quarterly Magazine of the Engineering in Medicine & Biology Society·Stephen C Strother
Sep 2, 2006·Journal of Neuroscience Methods·Daniel B RoweRaymond G Hoffmann
Nov 29, 2005·Magnetic Resonance Imaging·Arnold J den Dekker, Jan Sijbers
Aug 21, 2007·Magnetic Resonance Imaging·Yin XuShi-Jiang Li
Nov 5, 2013·Magnetic Resonance Imaging·M Muge KaramanDaniel B Rowe
May 12, 2009·NeuroImage·Zhaomei FengVince D Calhoun
Jan 20, 2015·Magnetic Resonance Imaging·Muge KaramanDaniel B Rowe
Apr 28, 2006·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·Dardo G Tomasi, Elisabeth C Caparelli
Jul 19, 2011·The Annals of Applied Statistics·Xiaoyan ShiHongtu Zhu
Jun 22, 2021·Frontiers in Psychiatry·Stefan FrässleKlaas E Stephan

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