Ng. Gencer et Sj. Williamson, DIFFERENTIAL CHARACTERIZATION OF NEURAL SOURCES WITH THE BIMODAL TRUNCATED SVD PSEUDO-INVERSE FOR EEG AND MEG MEASUREMENTS, IEEE transactions on biomedical engineering, 45(7), 1998, pp. 827-838
A method for obtaining a practical inverse for the distribution of neu
ral activity in the human cerebral cortex is developed for electric, m
agnetic, and bimodal data to exploit their complementary aspects. Intr
acellular current is represented by current dipoles uniformly distribu
ted on two parallel sulci joined by a gyrus, Linear systems of equatio
ns relate electric, magnetic, and binodal data to unknown dipole momen
ts. The corresponding lead-field matrices are characterized by singula
r value decomposition (SVD), The optimal reference electrode location
for electric data is chosen on the basis of the decay behavior of the
singular values. The singular values of these matrices show better dec
ay behavior with increasing number of measurements, however, that prop
erty is useful depending on the noise in the measurements. The truncat
ed SVD pseudo-inverse is used to control noise artifacts in the recons
tructed images, Simulations for single-dipole sources at different dep
ths reveal the relative contributions of electric and magnetic measure
s. For realistic noise levels the performance of both unimodal and bim
odal systems do not improve with an increase in the number of measurem
ents beyond similar to 100. Bimodal image reconstructions are generall
y superior to unimodal ones in finding the center of activity.