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The dimension estimated using a recording of
an alpha rhythm did not saturate; the characteristic rhythm
was not even reflected
by low-dimensional regions in the correlation integrals as is
the case for the respiration. Furthermore, singular value decomposition
did not prove to be useful.
The spike wave which was oversampled - motivated by the fact that
an epileptic seizure is short in duration - showed that we have to be careful
about autocorrelations: they may cause a spurious saturation.
Irregularities in the respiration signal could not be described by a
low-dimensional system. We expect that part of the irregularities
are caused by the data acquisition. We have no means, however,
to differentiate between data acquisition and biological noise (or chaos).
Furthermore, the heart activity, which was visible in the power spectrum
of the respiration signal,
was not recognizable in the dimension analysis.
The confidence intervals in the plots of the estimated dimension and entropies
are of little value since we do not know what to do with the estimates