100 Practical Biomedical Signal Analysis Using MATLAB
R
varies topographicaly. Hence atom g
γ
k
can be expressed as:
g
γ
k
= argmax
g
γ
∈D
n
∑
i=1
|R
n
x
i
,g
i
γ
|
2
and ∀
i, j
g
i
γ
= g
j
γ
(3.53)
Another example of optimality criterion can be formulated when the multivariate
signal is obtained as an ensemble of realization of a process, e.g., multiple epochs
containing the realizations of an evoked potential. In such a case the criterion could
be analogous to the one given by (equation 3.53), but the constraint of the same phase
for all univariate atoms can be relaxed.