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. Author manuscript; available in PMC: 2020 Nov 7.
Published before final editing as: IEEE Trans Biomed Eng. 2019 May 7:10.1109/TBME.2019.2913928. doi: 10.1109/TBME.2019.2913928
k,l,,m,n Indices for vector/matrix elements, time points, frequency components.
t Time.
ν Frequency
ω pulsation = 2 * π*ν
x,y Generic vector processes.
e Generic noise process.
ρ Generic complex signal amplitude
φ Generic complex signal phase
f Generic scalar function.
V Observations (M/EEG sensor signal) vector
ι States (source activity) vector
ξ Sensor signal noise vector
ζ Biological noise vector
u Exogenous inputs (stimulus) vector
L Source to observations (M/EEG sensor signal) transfer function (Lead Field) matrix
s Empirical covariance (cross-spectral) matrix.
Σ Population covariance (cross-spectral) matrix.
K Neural connectivity matrix or source connectivity.
T Neural lag matrix
A (uppercase alpha) Multivariate Autoregressive (MVAR) model coefficients matrix
B (uppercase Beta) Multivariate Autoregressive (MVAR) model Transfer Function (TF).
GCxy Granger Causality from y to x
Bmn2 Multivariate Autoregressive (MVAR) model Directed Transfer Function (DTF) from m to n
Γmn2 Normalized DTF
Rmn Pearson Correlation matrix coefficient of the m-th and n-th vector components
Γ Normalized DTF
Π Partial Directed Coherence (PDC) matrix
Πmn2(v) Squared amplitude of the PCD component m,n (magnitude of the influence from m to n)
CΠ, RΠ, GΠ, JΠ, WΠ PDC normalization versions: column-wise, row-wise, generalized, information, weighted
δ Gradient of the PDC squared absolute values
γ2 PCD’s normal tendency squared variance
H Hilbert Transform
PLV Phase locking value (PLV)
WPLV,
JPLV
weighted PLV, information PLV