AS Maths (Instant Revision) by Jenny Sharp, Stewart Townend

By Jenny Sharp, Stewart Townend

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M. van Cappellen van Walsum, and B. W. van Dijk, “Nonlinear synchronization in EEG and whole head MEG recordings of healthy subjects,” Hum. , vol. 19, no. 2, pp. 10106. 1 THE PROBLEMS OF CONVENTIONAL ELECTROENCEPHALOGY RECORDINGS Among the different noninvasive brain imaging techniques, electroencephalography (EEG) and magneto encephalography (MEG) alone directly reflect neuronal firing and exhibit a remarkable temporal resolution (in milliseconds) despite a poor spatial resolution (of the order of fewsquare centimeters).

The L2 norm of the ith column of the lead field matrix A is denoted by ||Ai ||. 1 Cortical Estimated Waveforms Using the relations described earlier, an estimate of the signed magnitude of the dipolar moment for each one of the 5000 cortical dipoles was obtained for each time point. As the orientation of the dipole was defined to be perpendicular to the local cortical surface in the head model, the estimation process returned a scalar vector field. To obtain the cortical current waveforms for all the time points, we used a unique “‘quasioptimal” regularization value for all the analyzed EEG potential distributions.

This was achieved by focusing on the MVAR model structure described in Eq. 1) and comparing it with the signal generation scheme. The elements of matrices (k) of MVAR model coefficients can be related to the coefficients used in the signal generation and are different from zero only for k = ij , where ij ESTIMATION OF THE FUNCTIONAL CONNECTIVITY FROM STATIONARY DATA 23 is the delay chosen for each pair ij of ROIs and for each direction among them. In particular, for the independent reference source waveform x1 (t), an autoregressive model of the same order of the MVAR was estimated, with coefficients a11 (1), .

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