signal in time-domain; this first step is crucial for the
successfulness of the whole diagnostic process. Our
method is relatively simple and was developed for
the detection of QSCG pseudo-periods in real time.
The method is derived from a well-known and
robust algorithm for QRS complex detection in
traditional electrocardiograms (ECG), originally
developed by Hamilton et al. The algorithm was
based on the first derivative of the input signal and
many thresholds and parameters are automatically
adapted to individual changes in the input signal
using sophisticated empirical rules. The results
(position of the dominant – so-called R - wave) are
obtained with some detection delay (above 200 ms).
For details on the algorithm, see [Hamilton].
For our purposes it is important that the initial
values of many parameters are adjustable and by
modification of these values the original method was
slightly adapted to QSCG’s different curve
morphology. Namely the following parameters were
changed: (1) length of the first derivative from the
original 10 ms to 80 ms, (2) length of the high-pass
pre-filter from 125 ms to 350 ms, (3) length of
moving window integration from 80 ms to 200 ms.
Optimal values were selected experimentally in
order to achieve the best detection results.
Additionally, we developed a special backward
searching process for the precise detection of the
position of the I-wave and J-wave in each QSCG
pseudo-period.
The function of the whole algorithm is as follows:
output of the traditional ECG QRS detector gives the
rough position of the systolic complex inside the
QSCG - candidate X. Then the specific morphology
of the QSCG curve is utilized to backward search
the position of the J-wave – we expect the first big
negative peak in MTI samples (about 100 ms). If the
detection is successful, we assign the position of the
peak as the I-wave; see Figure 8.
6000
7000
8000
9000
10000
11000
12000
13000
1 58 115 172 229 286 343 400 457
time [samples]
Force (quant. le ve ls )
X
I
H
K
L
I
max
MTI
Figure 8: Backward local I-peak searching in the QSCG
cycle.
Finally we search forward for the position of the
J-wave, which we expect to be the first big positive
peak in maximally MTJ samples (about 160 ms), see
Figure 9.
6000
7000
8000
9000
10000
11000
12000
13000
1 58 115 172 229 286 343 400 457
time [samples]
Force (quant. le ve ls )
I J
H
K
L
J
max
MTJ
Figure 9: Forward local J-peak searching in the QSCG
cycle.
For the peak-detection we used a very simple
method based on the first difference (length 15 ms):
when the transition from negative to positive value
of the difference occurs, then the sequence is marked
as a negative peak; the transition from a positive to
negative difference means a positive peak. If
searching for the J-wave or the I-wave fails,
candidate “X” is rejected and the algorithm
continues without detection of the QSCG pseudo-
period.
The rejection of “candidate X” is very important
step and it increases robustness of the whole
detection procedure against the artifacts – see
demonstration on the Figure 10.
8800
10800
12800
1 11 21 31 41 51 61 71 81 91 101 111 121 131 141 151 161 171 181 191 201 211 221
time (samples)
Force (quant. levels)
X3
I
max
MTI
Figure 10: Rejection of the false beat detection. We search
backward from “candidate X3” for the first big negative
peak. The I-wave must be recognized in MTI samples
(about 100 ms), so in this case the detection was not
successful.
The false detection of the dominant “candidate
X”, which is not a true QSCG cycle, was corrected
by the proposed simple backward searching
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