In the following, we investigate the effect of recording reference on the aforementioned measures of neural synchronization. Let R(t) = Ar(t) denote the potential signal at the reference electrode where coefficient A > 0, and let bi be the potential signal at the ith intracranial or scalp electrode, where i = 1, 2. Now, let xi(t) denote bi(t) referenced to R(t), i.e., xi(t) = R(t) – bi(t), i = 1, 2. Now, we aim to discuss the effect of R(t) on the correlation, phase synchrony, and MSC of nonreferential signals b1(t) and b2(t) as measured from referential signals x1(t) and x2(t). To do so, next, we obtain analytical expressions for the three measures and establish the relationship among R(= Ar), b1, b2, x1, and x2.
