Quantitative analysis of EEG signals: Time-frequency methods and ...
Quantitative analysis of EEG signals: Time-frequency methods and ...
Quantitative analysis of EEG signals: Time-frequency methods and ...
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information that two dierent stimuli are manifestations <strong>of</strong> the same process. However,<br />
the possibility thatanintensity rise on joined-polymodal conditions leads to behavioral<br />
changes in terms <strong>of</strong> attention <strong>and</strong> arousal functions can not be discarded <strong>and</strong> deserves<br />
further studies.<br />
Less data is available on the role <strong>of</strong> 40 Hz-oscillatory processes in bisensory integration.<br />
Sheer <strong>and</strong> Schrock (1986) conducted their studies on focused attention by looking<br />
for modications in 40 Hz-SSRs (steady-state responses, seesec.x1.2) driven by means <strong>of</strong><br />
simultaneously applied click-<strong>and</strong>-ash stimuli, from which one or the other modality had<br />
to be ignored. With the stimulus trains being not in phase, they found the 40 Hz-SSRs<br />
<strong>of</strong> the non-focused stimulus modality reduced. Other modes <strong>of</strong> intermodal perturbation<br />
<strong>of</strong> the 40 Hz-SSRs have been tested by Rohrbaugh et al. (1990). Both salient \foreground"<br />
visual <strong>and</strong> auditory stimuli implied a latency <strong>and</strong> amplitude decrease in the<br />
40Hz auditory steady-state responses, stimuli <strong>of</strong> the same modality thereby dominating<br />
in eect. Thus both exemplary studies have discriminative functions in common, which<br />
are modiers <strong>of</strong> the 40Hz surface <strong>EEG</strong>.<br />
4.7 Conclusion<br />
Wavelet decomposition proved to be a very useful tool for analyzing brain <strong>signals</strong>. I<br />
would like to remark two advantages <strong>of</strong> Wavelet Transform over Fourier based <strong>methods</strong>.<br />
First, Wavelet Transform lacks <strong>of</strong> the requirement <strong>of</strong> stationarity, this being crucial for<br />
avoiding spurious results when analyzing brain <strong>signals</strong>, already known to be highly nonstationary.<br />
Second, owing to the varying window size<strong>of</strong>theWavelet Transform, a better<br />
time-<strong>frequency</strong> resolution can be achieved when the signal has patterns involving dierent<br />
scales. This is particularly important inthe case <strong>of</strong> event-related potentials, where<br />
the relevant response is limited to a fraction <strong>of</strong> a second, a good time resolution thus<br />
being crucial for making any physiological interpretation. In section 4.5.2, I showed<br />
with some selected sweeps how the multiresolution decomposition implemented with<br />
B-Splines functions leads to a better resolution <strong>of</strong> the event-related oscillations in comparison<br />
with a conventional ideal lter used in several previous works. Moreover, due<br />
to the fact that the multiresolution decomposition method is implemented as a ltering<br />
scheme, it can be seen as a way to construct lters with an optimal time-<strong>frequency</strong> resolution.<br />
This exemplies <strong>and</strong> complements the theoretical description <strong>of</strong> the advantages<br />
<strong>of</strong> wavelets introduced in section 4.2. Furthermore, the multiresolution decomposition<br />
is a way <strong>of</strong> data reduction, thus giving relevant (i.e. non-redundant) coecients that<br />
allows a straightforward implementation <strong>of</strong> statistical tests.<br />
Alpha responses to pattern visual event-related potentials were related with primary<br />
sensory processing, having several generators. Furthermore, the <strong>analysis</strong> <strong>of</strong> discrete<br />
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