K. Sekihara et B. Scholz, GENERALIZED WIENER ESTIMATION OF 3-DIMENSIONAL CURRENT DISTRIBUTION FROM BIOMAGNETIC MEASUREMENTS, IEEE transactions on biomedical engineering, 43(3), 1996, pp. 281-291
This paper proposes a method for estimating three-dimensional (3-D) bi
ocurrent distribution from spatio-temporal biomagnetic data. This meth
od is based on the principle of generalized Wiener estimation, and it
is formulated based on the assumption that current sources are uncorre
lated. Computer simulation demonstrates that the proposed method can r
econstruct a 3-D current distribution where the conventional least-squ
ares minimum-norm method fails. The influence of noise is also simulat
ed, and the results indicate that a signal-to-noise ratio of more than
20 for the uncorrelated sensor noise is needed to implement the propo
sed method. The calculated point spread function shows that the propos
ed method has very high spatial resolution compared to the conventiona
l minimum norm method. The results of computer simulation of the distr
ibuted current sources are also presented, including cases where curre
nt sources are correlated. These results suggest that no serious error
s arise if the source correlation is weak.