hands of an avatar in a 3-D Virtual Reality Feedback
environment (VRFB, see section II for more details).
Either the left or the right hand of the avatar moves
according to the MI. For comparison, a popular
strategy (bFB, e.g. in Guger, 2003) was used. Here
the feedback entails the movement of a bar on the
computer screen. This bar always starts in the
middle of the screen and extends either to the left or
right side of the screen, according to the classified
motor imagination. Nine subjects did recordings
with 63 EEG channels. Two subjects did the same
session with using 63 and 27 channels (See Figs. 1
and 2). For these two persons using 63 and 27 we
evaluated the difference in accuracy.
Recently, Neuper and colleagues compared
different BCI feedback strategies (Neuper, 2011).
There, the realistic feedback consisted of a hand
grasping a target, and the bar feedback was similar
to the present study. While Neuper used only three
bipolar channels for the classification, the present
study used a common spatial patterns (CSP)
approach that takes advantage of the high number of
EEG channels.
2 METHODS
2.1 Common Spatial Patterns
The method of CSP is known for discrimination of
two motor imagery tasks (Blankertz, 2008) and was
first used for extracting abnormal components from
the clinical EEG (Koles, 1991). By applying the
simultaneous diagonalization of two covariance
matrices, one is able to construct new time series
that maximize the variance for one task, while
minimizing it for the other one.
Given N channels of EEG for each left and right
trial, the CSP method gives an N x N projection
matrix. This matrix is a set of subject-dependent
spatial patterns, which reflect the specific activation
of cortical areas during hand movement imagination.
With the projection matrix W, the decomposition of
a trial X is described by:
WXZ
(1)
This transformation projects the variance of X
onto the rows of Z and results in N new time series.
The columns of W
-1
are a set of CSPs and can be
considered time-invariant EEG source distributions.
Due to the definition of W, the variance for a left
movement imagination is largest in the first row of Z
and decreases with the increasing number of the
subsequent rows. The opposite occurs for a trial with
right motor imagery. For classification of the left
and right trials, the variances have to be extracted as
reliable features of the newly designed N time series.
However, it is not necessary to calculate the
variances of all N time series. The method provides
a dimensionality reduction of the EEG. Mueller-
Gerking and colleagues (
Mueller, 1999) showed that
the optimal number of common spatial patterns is
four. Following their results, after building the
projection matrix W from an artifact corrected
training set X
T
, only the first and last two rows (p=4)
of W are used to process new input data X. Then the
variance (VAR
p
) of the resulting four time series is
calculated for a time window T. After normalizing
and log-transforming, four feature vectors are
obtained.
4
1
log
p
p
p
p
VAR
VAR
f
(2)
With these four features a linear discriminant
analysis (LDA) classification is done to categorize
the movement either as left-hand or right-hand.
2.2 Data Processing
EEG data were recorded over 63 positions (see Fig.
1) or 27 channels (see Fig. 2) of the motor cortex,
using active electrodes (g.LADYbird, g.tec medical
engineering GmbH, Austria). A multichannel EEG-
amplifier was used (g.HIamp, g.tec medical
engineering GmbH) to record the data with a
sampling frequency of 256 Hz. The workflow model
is shown in Fig 3. The sampled data went into a
bandpass filter (Butterworth, 5th order) before the
four spatial filters were applied. The variance was
computed for a moving window of one second.
Normalization is done according to Eq. (2). Finally,
the LDA classification drives the feedback block of
the paradigm.
2.3 Paradigm and Sessions
Before the tests started, the healthy users (all male
between 25 and 30 years old; all right handed) were
trained on motor imagery tasks until their
performance was stable. After that, the two sessions
with different feedback were executed. The
workflow can be seen in the middle of Fig. 3. Each
session consisted of seven runs; each run included
20 trials for left-hand movement and 20 trials for
right-hand movement in a randomized order. The
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