The problem of electroencephalography (EEG) source localization using beamforming techniques is reported in number of studies. Some suggest a reduced-rank extension of the multi-source activity index (MAI), which is an extension of the classical neural activity index to the multi-source case.
Papers:
A. Moiseev, J. M. Gaspar, J. A. Schneider, and A. T. Herdman, “Application of multi-source minimum variance beamformers for reconstruction of correlated neural activity,” NeuroImage, vol. 58, no. 2, September 2011.
B. D. Van Veen, W. van Drongelen, M. Yuchtman, and A. Suzuki, “Localization of brain electrical activity via linearly constrained minimum variance spatial filtering,” IEEE Transactions on Biomedical Engineering, vol. 44, no. 9, pp. 867–880, 1997.