K. Sekihara et B. Scholz, AVERAGE INTENSITY RECONSTRUCTION AND WIENER RECONSTRUCTION OF BIOELECTRIC CURRENT DISTRIBUTION BASED ON ITS ESTIMATED COVARIANCE-MATRIX, IEEE transactions on biomedical engineering, 42(2), 1995, pp. 149-157
This paper proposes two methods for reconstructing current distributio
ns from biomagnetic measurements. Both of these methods are based on e
stimating the source-current covariance matrix from the measured-data
covariance matrix. One method is the reconstruction of average current
intensity distributions. This method first estimates the source-curre
nt covariance matrix and, using its diagonal terms, it reconstructs cu
rrent intensity distributions averaged over a certain time. Although t
he method does not reconstruct the orientation of each current element
at each time instant, it can retrieve information regarding the curre
nt time-averaged intensity at each voxel location using extremely low
SNR data. The second method is Wiener reconstruction using the estimat
ed source-current covariance matrix. Unlike the first method, this Wie
ner reconstruction can provide a current distribution with its orienta
tion at each time instant. Computer simulation shows that the Wiener m
ethod is less affected by the choice of the regularization parameter,
resulting in a method that is more effective than the conventional min
imum-norm method when the SNR of the measurement is low.