2004
DOI: 10.1109/tbme.2004.827926
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Asymptotic SNR of Scalar and Vector Minimum-Variance Beamformers for Neuromagnetic Source Reconstruction

Abstract: To reconstruct neuromagnetic sources, the minimum-variance beamformer has been extended to incorporate the three-dimensional vector nature of the sources, and two types of extensions-the scalar-and vector-type extensions-have been proposed. This paper discusses the asymptotic signal-to-noise ratio (SNR) of the outputs of these two types of beamformers. We first show that these two types of beamformers give exactly the same output power and output SNR if the beamformer pointing direction is optimized. We then c… Show more

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Cited by 181 publications
(190 citation statements)
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“…Beamformer weights were normalized by their vector norm to alleviate the depth bias of MEG source reconstruction (Hillebrand et al, 2012). The participant's MRI was used to define the source space with an isotropic resolution of 6 mm and the output for each location was independently derived as a weighted sum of all MEG sensor signals using the optimal source orientation (Sekihara, Nagarajan, Poeppel, & Marantz, 2004). …”
Section: Methodsmentioning
confidence: 99%
“…Beamformer weights were normalized by their vector norm to alleviate the depth bias of MEG source reconstruction (Hillebrand et al, 2012). The participant's MRI was used to define the source space with an isotropic resolution of 6 mm and the output for each location was independently derived as a weighted sum of all MEG sensor signals using the optimal source orientation (Sekihara, Nagarajan, Poeppel, & Marantz, 2004). …”
Section: Methodsmentioning
confidence: 99%
“…The linearly constrained minimum variance scalar beamformer spatial filter algorithm (Sekihara et al, 2004) implemented in SPM8 was used to generate maps of source activity in a 10 mm grid. Coregistration to the MNI coordinates was based on three fiducials points: nasion and left and right preauricular.…”
Section: Methodsmentioning
confidence: 99%
“…The average referenced EEG was bandpass-filtered between 1 and 20 Hz and non-overlapping data segments of 1 s duration were tapered with a Hanning window and Fourier transformed. Fourier coefficients were then projected to grey matter voxels with an adaptive spatial filter (scalar minimum variance beamformer) (Sekihara et al, 2004). We subsequently calculated the imaginary component of coherence (IC) between all possible voxel pairs during the entire resting-state recording for each frequency bin between 1 and 20 Hz (frequencies <1 Hz and >20 Hz were not investigated because of the larger susceptibility to artifacts and technological limitations of surface EEG to reliably reconstruct these rhythms).…”
Section: Functional Connectivity Analysismentioning
confidence: 99%