[EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method

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  • 7/24/2019 [EXE] EEG-Based Fractal Analysis of Different Motor Imagery Tasks Using Critical Exponent Method

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    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

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    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

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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

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    NFD = (L Lw)/t + 1 L Lw t

    Lw

    International Journal of Biological and Life Sciences 1:3 2005

    178

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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

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    International Journal of Biological and Life Sciences 1:3 2005

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