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7/24/2019 [EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method
1/6
International Journal of Biological and Life Sciences 1:3 2005
175
7/24/2019 [EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method
2/6
T4
T5
Pz
P4
C3T3
P3T6
Cz C4
F3F7
A1
O2O1
Fz
F8F4
A2
Fp1
GFp
2
Nasion
Inion
Blank screen Execution cue
0 [sec] 3 [sec] 4 [sec]
Next trialPreparation
8 [sec]
Ls = 2xy =
2x2
+ 2
y2
,
x,y,z,
xy
xi = xi 1M
jNi
xj ,
xi xi i Ni
M = 2 M= 3
M = 4
International Journal of Biological and Life Sciences 1:3 2005
176
7/24/2019 [EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method
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H
PH()
PH() 2H+1 = ,
I
I =
PH()
d, ( < < ),
I
1
d= 1
+ 1(+1 1),
= 2
Uexp
Ulog
2
,
U=+1 U = 0 = c log I
d3 log Id3
= II
2 3I
I
I+ 2(I
)3
I3
,
c =c 1
D= 2 c
2 .
c
H = 0.07 D = 1.930
D= 1.9320
0 2 00 4 00 6 00 8 00 1 00 0 1 20 0 14 00 1 600 1 8 00 2 00 0-8
-6
-4
-2
0
2
4
6
8
Samples
Amplitude
-4 -3 -2 -1 0 1 2 3 4-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1x 10
-5
d3log(I)/d
3
1360.0c
(a) (b)
0 5 10 15 20 25 30 35
1.78
1.8
1.82
1.84
Window index
FractalDimension
0 1 2 3 4 5 6 7 8-60
-40
-20
0
20
40
60
Time [sec]
Amplitude[v]
window 1
window 2
window m
t
n t
International Journal of Biological and Life Sciences 1:3 2005
177
7/24/2019 [EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method
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NFD = (L Lw)/t + 1 L Lw t
Lw
International Journal of Biological and Life Sciences 1:3 2005
178
7/24/2019 [EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method
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1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
F7 F3 Fz F4 F8 T3 C3 Cz C4 T4 T5 P3 Pz P4 T6
Linear (FT-MI) Linear (TG-MI) Linear (LF-MI) Linear (RF-MI)
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
F7 F3 Fz F4 F8 T3 C3 Cz C4 T4 T5 P3 Pz P4 T6
Linear (FT-MI) Linear (TG-MI) Linear (LF-MI) Linear (RF-MI)
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
F7 F3 Fz F4 F8 T3 C3 Cz C4 T4 T5 P3 Pz P4 T6
Linear (FT-MI) Linear (TG-MI) Linear (LF-MI) Linear (RF-MI)
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
F7 F3 Fz F4 F8 T3 C3 Cz C4 T4 T5 P3 Pz P4 T6
Linear (FT-MI) Linear (TG-MI) Linear (LF-MI) Linear (RF-MI)
1.6
1.65
1.7
1.75
1.8
1.85
1.9
1.95
2
F7 F3 Fz F4 F8 T3 C3 Cz C4 T4 T5 P3 Pz P4 T6
Linear (FT-MI) Linear (TG-MI) Linear (LF-MI) Linear (RF-MI)
International Journal of Biological and Life Sciences 1:3 2005
179
7/24/2019 [EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method
6/6
International Journal of Biological and Life Sciences 1:3 2005
180