脳波モデルを用いたReal-time集中状態判別器の実演と現状の稼働アルゴリズムの紹介

ྟচੜମϥϘதؒใࠂձ 5VFTEBZ

೴೾൝%͏͑͸Β͚ΜΏ͏ɹ
,FZXPSETΧΦεɼ&&( %VGpOHํఔࣜɼٯ໰୊ɼαϙʔτϕΫλʔϚγϯ 47.

ʻ໨࣍ʼ
ɹ̍ɽ࣮ԋɹɹɹɹɹɿ3FBMUJNFͰूதঢ়ଶΛ൑ผ͢ΔσϞ
ɹ̎ɽݚڀഎܠͱ໨తɿ%VGpOHํఔࣜʹΑΔ೴೾ϞσϧͱՄೳੑ
ɹ̏ɽղੳख๏ɹɹɹɿٯ໰୊Λղ͖ɼ/POMJOFBS47.Ͱ෼ྨ
ɹ̐ɽ݁Ռͱߟ࡯ɹɹɿׂҎ্ͷ൑ผਖ਼ղ཰ͷ࣮ݱɼࠔ೉ͳέʔε΋
୊໨ͱ໨࣍
೴೾ϞσϧΛ༻͍ͨ3FBMUJNFूதঢ়ଶ൑ผثͷ࣮ԋͱ
ݱঢ়ͷՔಇΞϧΰϦζϜͷ঺հ

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࣮ԋɿ3FBMUJNFͰूதঢ়ଶΛ൑ผ͢ΔσϞ
೴೾Λ༻͍ͨ3FBMUJNFूதঢ়ଶ൑ผͷ࣮ԋ
ύʔιφϥΠζͨ͠
൑ผث࡞੒
ϦΞϧλΠϜ
ूதঢ়ଶ൑ผ
೴೾औಘ ҆੩ूத

೴೾ͷ਺஋Խ 
Ϟσϧύϥϝʔλಉఆ

҆੩ूதͷ൑ผث࡞੒
ඇઢܗ47.

ʮ҆੩ूதͷ൑ผثʯ
ඇઢܗ47.

೴೾औಘ
೴೾ͷ਺஋Խ 
Ϟσϧύϥϝʔλಉఆ

ूதঢ়ଶΛϞχλ
ιϑτ΢ΤΞͷྲྀΕ
#FOFTTFͷλΠϐϯάࢼݧΛ΍Γ·͢
҆੩ ෼
λΠϐϯάࢼݧ ෼

ϕωοη͕ग़͍ͯ͠Δ 
ݕఆͷλΠϐϯάαΠτ
࣮ݧ৚݅

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਺ࣜͰ͔͚Δܾఆ࿦తϞσϧͰ͋Δ
ॳظ஋ͷͪΐͬͱͨ͠ҧ͍ʹΑͬͯڍಈ͕ඇपظతʹͳΔ
ݚڀഎܠɿ%VGpOHํఔࣜʹΑΔ೴೾ϞσϧͱՄೳੑ
ΧΦεɾɾɾॏৼΓࢠ͸ΧΦεతڍಈͱ͍͏ྫ
(m1
+ m2
)l2
1
··
θ1
+ m2
l1
l2
cos(θ1
− θ2
)
··
θ2
+ m2
l1
l2
sin(θ1
− θ2
)
·
θ2
2
+ g(m1
+ m2
)l1
sin θ1
= 0
m2
l2
2
··
θ2
+ m2
l1
l2
cos(θ1
− θ2
)
··
θ1
− m2
l1
l2
sin(θ1
− θ2
)
·
θ2
1
+ gm2
l2
sin θ2
= 0
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ͩͬͯΧΦεͩ΋Μ
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ΞΠβοΫɾχϡʔτϯ

ଠཅɼ஍ٿɼ݄ɼ͜
ͷମͷఱମͷيಓ
͸ղੳతʹղ͚ͳ͍

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神経インパルス
ʮ೴೾ʯ΋ʮΧΦεʯ͕ೝΊΒΕ͍ͯΔ
೥೴ͷجຊߏ੒ཁૉͰ͋Δχϡʔϩϯ͕ΧΦεԠ౴Λࣔ͢͜ͱ͕໌Β͔ʹ͞Εͨ<>
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QQ
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೾ܗͦͷ΋ͷΛॲཧͯ͠਺஋Խ͢Δ 
Ͳͷ͘Β͍೾ܗ͕ΧΦεͳͷ͔ʁ

લճͷதؒ
ͰऔΓ্͛ͨ

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ΧΦεͷಛੑɾɾɾܾఆ࿦త ਺ࣜͰ͔͚Δ΋ͷ
Ͱ͋Γɼॳظ஋Ӷහੑ͕͋Δ
··
x + A·
x + Bx + Cx3 = P cos(ωt + ϕ)
%VGpOHํఔࣜ
t → ∞Ͱશ͘ҟͳΔڍಈ
x0
= 0.0
x0
= 0.001
x Ұ֊ৗඍ෼ํఔࣜʹඇઢܗ߲͕
ೖͬͨγϯϓϧͳࣜ
ΧΦεΛৼΔ෣͏͜ͱͰ
༗໊ͳඇઢܗͳӡಈํఔࣜ
ʮ೴೾ͷৼΔ෣͍ʯΛ
ʮϞσϦϯάʯͰ͖ΔͷͰ͸ʁ

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໨తɿඇઢܗํఔࣜʹΑΔ೴೾ϞσϧΛୡ੒͢ΔͨΊʹ͸ʁ
ʻνϟϨϯδϯάͳ͜ͱͱ޻෉఺ʼ
೴೾ˠΧΦεͱ͍͏ੑ࣭ˠ਺ࣜͰ͔͚Δܾఆ࿦ˠॳظ஋Ӷහੑˠ௕ظ༧ଌ͕ࠔ೉
%VGpOHํఔ͕ࣜɼ೴೾ͱಉ༷ͳৼΔ෣͍
Λࣔ͢͜ͱ͕Ͱ͖Δͷ͔ʁ
%VGpOHํఔࣜΛ༻͍ͨ೴೾ղੳϞσϧͷߏங
ˠՄೳͰ͋Δ ͕ɽɽɽ

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ʹؔ͠
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ɹ೾ͷఆྔԽ͕ՄೳͰ͋Δɽ
ղੳ̍ɽ೴೾ͷ࣮ଌ஋Λਖ਼ղ஋ͱͨ͠%VGpOHํఔࣜͷϑΟοςΟϯά݁Ռ<>
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ݚղੳख๏ɿ࠷খೋ৐๏Ͱٯ໰୊Λղ͖ɼ/POMJOFBS47.Ͱ෼ྨ
A
B
C

'SFRVFODZ )[

5JN
F T

A
B
C
D
ɾɾɾ
ɾɾɾ
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T

Y
··
x + A ·
x + Bx + cx3 = D
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˔3FMBY
˔$PODFOUSBUJPO
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࣮ݧσʔλ
3FMBY
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ɾ՝୊ ΩʔϘʔυλΠϐϯάɼϚεܭࢉɼεϚϗΞϓϦήʔϜ

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ҕһձͷ৹ࠪʹΑΓɼ
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ղੳख๏ɿ࠷খೋ৐๏Ͱٯ໰୊Λղ͖ɼ/POMJOFBS47.Ͱ෼ྨ
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B
C

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F T

A
B
C
D
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ɾɾɾ
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T

Y
··
x + A ·
x + Bx + cx3 = D
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.PEFM1BSBNFUFST 
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-4. 
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&&(ͷ࣌ؒˠप೾਺ʹؔ͢Δ৘ใ΁ɿҙຯͷ͋Δ৘ใͷநग़
ඵ N=2048

Δf =
fs
N
=
500
2048
= 0.244
サンプリング周波数 fs
500 Hz (0.002 sec)
0.244 0.488 0.732 0.976
0.244 ʢ෼ղೳʣͷഒ਺
(Hz)
ɾɾɾ
प೾਺஋ͷ
ִؒͷ͓࿩
ͳΔ΂͘प೾਺෼ղೳΛ্͍͛ͨʂ /ˠେ

͚Ͳɼ࣌ؒత෼ղೳ΋͍͋͛ͨʂ /ˠখ

Α͠ʂΦʔόʔϥοϓͩʂ /ΛॏͶΔ

4 - 30 Hz
प೾਺෼ղೳ
͸
ม͑Εͳ͍
ͬͪ͜͸ 
ม͑ΕΔ
ଳҬ੍ݶ 
όϯυύεϑΟϧλ
ੜཧֶతಛ௃͕ 
ؔ࿈͍ͯ͠Δ
''5ʹΑΔप೾਺όϯυύεϑΟϧλϦϯάˠ*''5ʹΑΔ࣌ؒԽ

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A
B
C

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F T

A
B
C
D
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ɾɾɾ
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T

Y
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x + Bx + cx3 = D
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ඵ N=2048

Δf =
fs
N
=
500
2048
= 0.244
500 Hz (0.002 sec)
0.244 0.488 0.732 0.976
(Hz)
ɾɾɾ
प೾਺஋ͷ
ִؒͷ͓࿩



4 - 30 Hz
प೾਺෼ղೳ
͸
ม͑Εͳ͍
ͬͪ͜͸ 
ม͑ΕΔ
ଳҬ੍ݶ 
όϯυύεϑΟϧλ
ؔ࿈͍ͯ͠Δ

View Slide

A
B
C

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5JN
F T

A
B
C
D
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ɾɾɾ
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T

Y
··
x + A ·
x + Bx + cx3 = D
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$MBTTJpDBUJPO

ඵ N=2048

Δf =
fs
N
=
500
2048
= 0.244
500 Hz (0.002 sec)
0.244 0.488 0.732 0.976
(Hz)
ɾɾɾ
प೾਺஋ͷ
ִؒͷ͓࿩



4 - 30 Hz
प೾਺෼ղೳ
͸
ม͑Εͳ͍
ͬͪ͜͸ 
ม͑ΕΔ
ɾɾɾ
ɾɾɾ
ඵຖͷ೾ܗʹରͯ͠ɼ࠷খೋ৐๏Ͱύϥϝλಉఆ
ଳҬ੍ݶ 
όϯυύεϑΟϧλ
ؔ࿈͍ͯ͠Δ
ɾɾɾ

View Slide

A
B
C

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F T

A
B
C
D
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ɾɾɾ
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T

Y
··
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x + Bx + cx3 = D
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໿ඵຖʹ࠷খೋ৐๏ -4.
ʹΑΔύϥϝʔλಉఆ
%VGpOHํఔࣜ
min
N
∑
i=1
(ϵi
)2
ϵi
= ··
xi
+ A ·
xi
+ Bxi
+ Cx3
i
− D
ϵi
࢒ࠩ
xi
··
x + A ·
x + Bx + Cx3 = D
∂∑N
i=1
ϵ2
i
∂A
= 0
∂∑N
i=1
ϵ2
i
∂B
= 0
∂∑N
i=1
ϵ2
i
∂C
= 0
∂∑N
i=1
ϵ2
i
∂D
= 0
࠷খԽͷҰ֊৚݅ͭͷύϥϝλɼͭͷํఔࣜ
֤ม਺ͷภඍ෼Λ
ඵຖʹղ͍͍ͯ͘
೴೾σʔλ˔
͸཭ࢄ৴߸
ಉఆ͞ΕͨϞσϧύϥϝλͷ஋ʹඇઢܗ47.Λద༻ͯ͠ 
҆੩ूதͷ෼ྨثΛ࡞Δ

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A
B
C

'SFRVFODZ )[

5JN
F T

A
B
C
D
ɾɾɾ
ɾɾɾ
5JNF T

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5JNF T

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T

Y
··
x + A ·
x + Bx + cx3 = D
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-4. 
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ඇઢܗ47.ͷ࣮૷ A-BΛྫʹ͢Δ

ඃݧऀ/P ඃݧऀ/P ඃݧऀ/P ඃݧऀ/P
˔҆੩ɹ
˔ूத
ूத࣌ɼ͹Β͖ͭ͸ݟΒΕΔ΋ͷͷɼ෼෍ܗঢ়͸ಉ༷ͳ܏޲͕ݟΒΕΔʜ
ඇઢܗ47.Ͱ҆੩࣌ͱूத࣌ͷڥքઢΛఆΊ͍ͨ
Ϛʔδϯ࠷େԽ
max{
˜
L(α) =
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∑
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∑
i=1
n
∑
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αϙʔτϕΫτϧ
Ϛʔδϯ࠷େԽ
໼ҹ෦ͷ௕͞

K2
K1
wT x + b = 0
w
αɿϥάϥϯδϡ৐਺
ϥάϥϯδϡؔ਺Λ࠷େʹ͢ΔΑ͏ʹڥքઢΛܾΊΔ
ઢܗͷ֓೦
ڭࢣ
ςετ

ڭࢣ ςετ
3FMBY $PODFOUSBUJPO
αϙʔτϕΫλʔϚγϯʹΑΔඇઢܗ෼཭
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ɽ
ɹɾ࣍ͷଟ߲ࣜΧʔωϧΛ༻͍ͨࣸ૾ɽ
ɹɾճͷަࠩݕূޙɼਖ਼ղ཰ͷฏۉ஋Λ༻͍ͯධՁɽ

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ݚڀ݁ՌͷҰྫɿ"#ͷ47.
ճͷަࠩݕূͷ͏ͪɼҰྫ
ࠨଆɿڭࢣσʔλ 
ӈଆɿςετσʔλ
ɾڭࢣσʔλ͸ڥքΛҾͨ͘Ίͷ΋ͷ
ɾςετͰڥքΛҾ͍ͨ΋ͷͷਖ਼ղ཰Λࢉग़

ɹશମత ࢀߟࢿྉ
ʹਖ਼ղ཰Λݟͯ΋ɼׂҎ্Ͱ
ूதঢ়ଶͷ൑ผ͕ՄೳͰ͋Δɽ
ɹ͔͠͠ɼඃݧऀE /P
ͷΑ͏ʹڥքΛҾ͘ͷ
͕ඇৗʹࠔ೉ͳέʔε΋͋ͬͨɽ 
ɹଟ߲ࣜΧʔωϧͷࣸ૾࣍਺Λ૿΍ͨ͠Γ͕ͨ͠ɼ 
ਖ਼ղ཰্͕͕Δ͜ͱ͸ͳ͔ͬͨɽ
ɹͦ͏͍ͬͨ৔߹͸ɼ࠶౓՝୊Λ΍Γ௚ͯ͠ɼ൑ผ
ثΛ࠶ߏங͢Δ͜ͱͰରԠ͢Δɽ

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݁ݴɿࠓճͷൃදͰߦͳͬͨ͜ͱ
˔3FBMUJNFͰػೳ͢Δूதঢ়ଶ൑ผثͷσϞΛެ։ͨ͠ɽ
˔Ϟσϧύϥϝλͷ෺ཧతͳҙຯ߹͍Ͱ͸ͳ͘ɼ൑ผΞϧΰϦζϜʹ͍ͭͯൃදͨ͠ɽ
˔ΧΦεΛ༗͢Δ೴೾ͷϞσϧͱͯ͠ɼ%VGpOHํఔࣜΛ࢖༻͢Δཧ༝Λઆ໌ͨ͠ɽ
˔47.ͳͲͷٕज़ͷઆ໌͸͠ͳ͔͕ͬͨɼͬ͘͟Γͱͨ͠ॲཧͷϓϩηεΛ঺հͨ͠ɽ
˔ׂҎ্ͷਖ਼ղ཰Ͱूதঢ়ଶΛ൑ผͰ͖Δ͜ͱΛ͔֬Ίͨɽ
೴೾ϞσϧΛ༻͍ͨ3FBMUJNFूதঢ়ଶ൑ผثͷ࣮ԋͱ
ݱঢ়ͷՔಇΞϧΰϦζϜͷ঺հ
ൃද಺༰ͷ૯ׅ
˓Ϟσϧύϥϝλͷ෺ཧతҙຯ߹͍ͷ͋ΔϚοϓΛ࡞Δɽ
ɹˠଞͷঢ়ଶͷ࣮ݧΛ͢Δඞཁ͕͋Δ
ɹˠ47.ͷ಺ଆͷΞϧΰϦζϜͷࡉ͔͍ઃఆΛ͢Δ

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ऴΘΓ
͓ΘΓ

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ࢀߟࢿྉ
ʻࢀߟࢿྉʼ
ɹɾ%VGpOHํఔࣜͷϑΟοςΟϯάʹؔͯ͠
ɹɾ%VGpOHํఔࣜͷετϨϯδΞτϥΫλ
ɹɾ࣮ݧσʔλͷ೴೾ͷੜσʔλ
ɹɾϞσϧύϥϝʔλಉఆ݁Ռ
ɹɾ૭෯ͷݕ౼ ઢܗ47.ͷ࣌୅

ɹɾ''5ͷप೾਺৘ใʹؔͯ͠ प೾਺ؚ༗ྔͱप೾਺ϐʔΫͷҰྫ

ɹɾओ੒෼෼ੳʹΑΔ௿࣍ݩԽ
ɹɾઢܗ47.ɼۣܗ૭ɼϋχϯά૭ɼಛ௃ྔͷݕ౼
ɹɾύϥϝλಉఆͷ݁Ռ ಈը෇͖

ɹɾઢܗ47.ͷ݁Ռ
ɹɾඇઢܗ47.ͷ݁Ռ
ɹɾଟ߲ࣜࣸ૾ͷ޻෉
ɹɾ೴೾ͷ৽ͨͳ৘ใఏࣔʹ޲͚ͨऔΓ૊Έ
ɹɾ֎෦ࢀߟϦϯΫ 47.ͱ͸ʁɼલճͷதؒใࠂͷࢿྉ

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ղੳɿ%VGpOHํఔࣜͷϑΟοςΟϯάํ๏ʹ͍ͭͯ
··
xsim + A ·
xsim + Bxsim + C(xsim)3 = P(t)
ઢܗ߲ ඇઢܗ߲ ֎෦ೖྗ߲
࣮ଌͨ͠೴೾࣌ܥྻσʔλ
ϞσϧʹΑΔγϛϡϨʔγϣϯ஋
ඵؒ
࣮ଌ஋ͷॳظ஋ʢx0, v0
ʣΛϞσϧʹ༩͑Δ
Error(A, B, C, P(t))
ධՁؔ਺
ཧ૝ Ϟσϧͷܭࢉ݁Ռ͸
ɹɹ࣮ݧ஋ͱಉ༷ʹ͍ͨ͠

=
1
N
N
∑
i=1
(xexp
i
− xsim
i
)2
A
B
C
P(t)
xexp
xsim
xexp
ܾఆ஋
Λຬ଍͢ΔϞσϧ
ύϥϝʔλΛಉఆ
xsim → xexp
࠷దԽख๏ͷ࣮਺ܕ("ʢҨ఻తΞϧΰ
ϦζϜʣΛ࢖༻ͯ͠࠷খ஋໰୊Λܭࢉ
ධՁؔ਺͕࠷খʹͳΔ
ύϥϝλͷ૊Έ߹Θͤ

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··
xsim + A ·
ʣΛϞσϧʹ༩͑Δ
ධՁؔ਺
=
1
N
N
∑
i=1
(xexp
i
− xsim
i
)2
A
B
C
P(t)
xexp
xsim
xexp
ܾఆ஋
Λຬ଍͢ΔϞσϧ
ύϥϝʔλΛಉఆ
xsim → xexp
ඵؒ

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··
xsim + A ·
ʣΛϞσϧʹ༩͑Δ
ධՁؔ਺
=
1
N
N
∑
i=1
(xexp
i
− xsim
i
)2
xexp
xsim
xexp
ܾఆ஋
Λຬ଍͢ΔϞσϧ
ύϥϝʔλΛಉఆ
xsim → xexp
ඵؒ

A
B
C
P(t)

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··
xsim + A ·
ʣΛϞσϧʹ༩͑Δ
ධՁؔ਺
=
1
N
N
∑
i=1
(xexp
i
− xsim
i
)2
xexp
xsim
xexp
ܾఆ஋
Λຬ଍͢ΔϞσϧ
ύϥϝʔλΛಉఆ
xsim → xexp
ඵؒ ඵؒ ඵؒ ඵؒ
A
B
C
P(t)
೴೾ͷ࣮ଌ஋ͷৼΔ෣͍ͱಉ༷ͳγϛϡϨʔγϣϯ೾ܗΛಘΔ͜ͱ͕Ͱ͖Ε
͹ɼ࣌ࣄࠁʑͱมಈ͢Δ೴೾ࣗମͷఆྔԽ͕ՄೳͰ͋Δ

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ϦϥοΫε74ετϨε೴೾ͷݕ౼
ɾΞϧϑΝ೾<)[>
ɾϦϥοΫε೴೾TFD
ɾετϨε೴೾TFD
Ϛεܭࢉ

ɾޙ಄෦ ࢹ֮໺0

ɾ4BNQMJOHTFD
ɾղੳ૭ඵؒTBNQMF
ώτͷঢ়ଶΛਪఆ ··
x + A ·
x + Bx + Cx3 = P1
cosωt + P2
sinωt
ฏۉޡࠩ

ฏۉޡࠩ

ϦϥοΫε ετϨε
˔%VGpOHํఔࣜͰɼ೴೾ͷෳࡶͳৼΔ෣͍ΛϞσ
ɹϧԽ͢Δ͜ͱ͕ՄೳͰ͋Δ
˔ಉఆ͞ΕͨϞσϧύϥϝʔλͰώτͷঢ়ଶਪఆ͕
ɹՄೳͰ͋Δ
ϦϥοΫεɼετϨε೴೾ͱ΋ʹɼ࣮ଌ஋
ͷৼΔ෣͍ʹҰக͍ͯ͠Δ͜ͱ͕෼͔Δ

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··
x + A ·
ϙΞϯΧϨ੾அ໘
ϙΞϯΧϨࣸ૾
࿈ଓతͳӡಈΛ͋ΔҰఆपظͰ
཭ࢄԽ͢Δهड़ํ๏ حົͳղू߹͕ݱΕΔ
ࢀߟࢿྉɿ%VGpOHํఔࣜͷΞτϥΫλͷ঺հ
ڧ੍%VGpOHܥͷΧΦεͷಛ௃ɿδϟύχʔζΞτϥΫλ
<>্ాⅼ྄ɼzΧΦεݱ৅࿦zɼίϩφࣾʻݱ୅ඇઢܗՊֶγϦʔζʼɼ*4#/

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ࢀߟࢿྉɿղੳʹ࢖༻࣮ͨ͠ݧσʔλ
ूத࣌ʢλΠϐϯάʣ
҆੩ ҆੩
ඃݧऀ/P
ඃݧऀ/P
ඃݧऀ/P
ඃݧऀ/P
ूத࣌ʢεϚϗΞϓϦʣ
҆੩ ҆੩
ඃݧऀ/P
ඃݧऀ/P
ඃݧऀ/P
ඃݧऀ/P
ूத࣌ʢϚεܭࢉʣ
҆੩ ҆੩
ඃݧऀ/P
ඃݧऀ/P
ඃݧऀ/P
ඃݧऀ/P
ඃݧऀਓ෼ͷੜσʔλ
ɾඃݧऀ໊
ɾ՝୊ λΠϐϯάɼϚεܭࢉɼεϚϗήʔϜ

ɾ՝୊͸ඵ͔Βඵ·Ͱͷؒ
ɾܭଌՕॴ͸ޙ಄෦0 ࠃࡍج४๏

ɾ೴೾ܭ1PMZNBUF**
ຊ࣮ݧ͸ຊֶػց޻ֶՊਓؒ޻ֶ ࣮ࢪલνΣοΫ
ҕһձͷ৹ࠪʹΑΓɼ
ྙཧతʹ໰୊͕ͳ͍͜ͱ͕ೝΊΒΕ࣮ͨݧͰ͋Δ
ॎ࣠ͷେ͖͞ଗ͑ͯͳ͍Ͱ͢

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ࢀߟࢿྉɿϞσϧύϥϝʔλ
˔҆੩ɹ
˔ूத
Ϟσϧύϥϝλಉఆ݁Ռ
)[ଳҬͷ
೴೾σʔλΛ༻͍ͨ
ύϥϝλಉఆͷ݁Ռ 
··
x + A·
x + Bx + Cx3 = D
࣌ؒΛແࢹͨ͠
%ϓϩοτ
ඃݧऀ͝ͱʹ
ύϥϝʔλ෼෍ܗঢ়ʹ
͹Β͖ͭ͸͋Δ΋ͷͷ
҆੩ͱूதͷ۠ผ͕
ग़དྷͦ͏

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ࢀߟࢿྉɿϞσϧύϥϝʔλ A-B
ͷΈ
˔҆੩ɹ
˔ूத
Ϟσϧύϥϝλಉఆ݁Ռ A-B
··
x + A·
x + Bx + Cx3 = D
ूத࣌͸ɼࠨ্ʹ޲͔͏
܏޲͕ݟΒΕΔ
#ˠ૿Ճ
 
"ˠݮগ

ඃݧऀ/P͸ 
ͦͷ܏޲͕ݦஶ
҆੩ͱूதͷ෼཭ڥքΛ
Ҿͨ͘Ίʹ47.Λࢼ͢

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ࢀߟࢿྉɿղੳ૭ʹؔ͢Δௐࠪ
प೾਺ղੳͷղੳ૭ʹؔͯ͠ͷௐࠪ
ɾ೴೾ͷΧΦεੑͳͲΛ൓өͨ͠Ϟ
ɹσϧύϥϝλͷ֫ಘͷͨΊɽ
ɾ47.ͷ෼ྨਫ਼౓͕࠷΋ྑ͘ͳΔ৚
ɹ݅ͷࠜؾ୳ࡧͷͨΊɽ
͜Εͱ͸ผʹ૭ؔ਺ͷௐࠪ΋࣮ࢪ
ɾۣܗ૭
ɾϋχϯά૭
ɾϋϛϯά૭
ɾ*''5࣌ͷϋχϯά૭ͷׂ௚͠ͳͲ
ࠓ͸ʮᶆʯͱʮۣܗ૭ʯΛ
ϦΞϧλΠϜঢ়ଶ൑ผʹ࢖༻

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ʔɹϕʔλ
ʔɹΞϧϑΝ
ʔɹγʔλ
ᶃ
ᶄ
ᶅ
ᶆ
ετϨεঢ়ଶ
ϦϥοΫεঢ়ଶ
ඃݧऀͷϚεܭࢉͷඵؒͷͭͷप೾਺ϐʔΫ
C
ϦϥοΫε࣌ T
D
ετϨε࣌ T

B
ͭͷϐʔΫͷ࣌ؒతมಈ
౓਺ ౓਺
ᶃ
ᶄ
ᶅ
ᶆ
ʔɹୈϐʔΫ૯਺
0WFSMBQΛ૿΍͢ͱɼετϨε࣌ʹ
ଟ͘ग़ͯཉ͍͠ϕʔλଳҬͷϐʔΫ͕ݮΔ
ᶃͱᶆΛ
ൺ΂Δͱݦஶ
ଟ͍
গͳ͍
ˡΦʔόʔϥοϓʴ θϩύσΟϯάʴˠ
ඃݧऀͷϚεܭࢉͷप೾਺ؚ༗཰ͷ࣌ؒతਪҠ
प೾਺ͷ৘ใΛαϙʔτϕΫλʔϚγϯͷಛ௃ྔͱͯ͠׆༻͢ΔͨΊௐࠪ
ɾ0WFSMBQΛ૿΍͢ͱ ᶆͱ͔
ɼप೾਺ؚ༗཰ͷׂ߹͕҆ఆ͢Δ ྑ͍͜ͱ

ɾ0WFSMBQΛ૿΍͢ͱ ᶆͱ͔
ɼߴप೾ͷϐʔΫ஋͕ݮΔ ݏͳ͜ͱˠ͜Ε͕ਖ਼͍͠΋ͷͰ͋Δͷ͕ͩ

૭෯
ࢀߟࢿྉɿप೾਺ͷ৘ใʹؔͯ͠ Ұྫ

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ඃݧऀ ඃݧऀ ඃݧऀ ඃݧऀ
"d$
प೾਺
ϐʔΫ
ओ੒෼෼ੳʹΑΔ
௿࣍ݩԽ
ࢀߟࢿྉɿओ੒෼෼ੳʹΑΔ௿࣍ݩԽ࣍ݩˠ࣍ݩ
ϞσϧύϥϝλͷΈͰ΋
෼཭͕Ͱ͖Δ͕ɼ
ग़དྷͳ͍σʔλ΋͋Δ 
஫ҙɿ
͜ͷ࣌ͷύϥϝλಉఆ͸ɼ 
#1ϑΟϧλແ͠ͷશप೾਺ଳҬ 
ͷ೴೾σʔλͰ͋Δ

͜ͷ࣌ͷप೾਺ϐʔΫ͸
ʮᶃʯ ඵ૭̌QBEEJOHඵ

࣠͸)[
ϐʔΫͷ৘ใΛೖΕͯɼ
ओ੒෼෼ੳΛ͢Δ΋ɼ 
ઢܗ47.ͷ෼ྨਫ਼౓͸
͕͋Βͳ͍͜ͱΛ֬ೝ
ඃݧऀ

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''5ʹ༻͍Δ૭ؔ਺ͷݕ౼ɿۣܗ૭ͷ෯Λௐ΂Δ ઢܗ47.ʹΑΔ෼ྨධՁ

ɾશͯͷඃݧऀ͓ΑͼશͯͷλεΫΛௐ΂ͨ
ɾᶃdᶆͷ৚݅ͷ૭෯ʹରͯ͠ɼಛ௃ྔΛύλʔϯݕ౼ͨ͠
ɾಛ௃ྔͷύλʔϯ͸ ಛ௃ྔ " # $
ɼಛ௃ྔ ಛ௃ྔ%
ɼಛ௃ྔ ಛ௃ྔ૭಺ͷप೾਺ͭ

ɾΦʔόʔϥοϓແ͠ͷํ͕෼ྨثͱͯ͠ͷੑೳ͕ྑ͍
ɾظ଴ͱ͸ٯͷ܏޲ʹͳͬͨͷͰಾ ͨͩ͜͠Ε͸ઢܗ47.ͷ࿩

Φʔόϥοϓແ͠Ͱ΋શવ͋Γʂ
ࢀߟࢿྉɿ47.ɼۣܗ૭ɼಛ௃ྔͷݕ౼

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''5ʹ༻͍Δ૭ؔ਺ͷݕ౼ɿ)BOOJOH૭ͷ෯Λௐ΂Δ ઢܗ47.ʹΑΔ෼ྨධՁ

ɾશͯͷඃݧऀ͓ΑͼશͯͷλεΫΛௐ΂ͨ
ɾᶃdᶆͷ৚݅ͷ૭෯ʹରͯ͠ɼಛ௃ྔΛύλʔϯݕ౼ͨ͠
ɾಛ௃ྔͷύλʔϯ͸ ಛ௃ྔ " # $
ɼಛ௃ྔ ಛ௃ྔ%
ɼಛ௃ྔ ಛ௃ྔ૭಺ͷप೾਺ͭ

ɾ̓ಛ௃ྔΛೖΕͯ΋෼ྨਫ਼౓͕͕͋Βͳ͍͜ͱ͕֬ೝͰ͖Δ
ɾ૭෯Λ௕ͯ͘͠΋෼ྨਫ਼౓͕͕͋Βͳ͍͜ͱ͕֬ೝ͞ΕΔ

ಛ௃ྔͰ΋શવ͋Γʂ
ࢀߟࢿྉɿ47.ɼϋχϯά૭ɼಛ௃ྔͷݕ౼

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ϋχϯά૭ ۣܗ૭
ϋϛϯά૭ 
૭ؔ਺ͰׂΓ௚ͨ͠

ϋχϯάʹ௥Ճͯ͠ʮϋϛϯάʯͱʮۣܗʯΛௐࠪ
ઌߦݚڀ<>
ඵ ඵ
ඵ
ύϥϝλಉఆ

ࢀߟࢿྉɿ''5ͷ૭ؔ਺ͷݕ౼ ύϥϝλͷ૬ؔΛΈΔ

ύϥϝλಉఆʹ࢖༻͢Δ࣌ؒσʔλͷͨΊͷɼ''5ʹ࢖༻͢Δ૭ؔ਺ͷௐࠪ ελʔτͷඵ͸QBEEJOH

QBSBNFUFS#"VFIBSBXPSE@IBN

3FMBY 4USFTT 3FMBY
QBSBNFUFS$"VFIBSBXPSE@IBN

3FMBY 4USFTT 3FMBY
QBSBNFUFS#$VFIBSBXPSE@IBN

3FMBY 4USFTT 3FMBY
QBSBNFUFS#"VFIBSBXPSE@SFD

3FMBY 4USFTT 3FMBY
QBSBNFUFS$"VFIBSBXPSE@SFD

3FMBY 4USFTT 3FMBY
QBSBNFUFS#$VFIBSBXPSE@SFD

3FMBY 4USFTT 3FMBY
QBSBNFUFS#"VFIBSBXPSE@IBO

3FMBY 4USFTT 3FMBY
QBSBNFUFS$"VFIBSBXPSE@IBO

3FMBY 4USFTT 3FMBY
QBSBNFUFS#$VFIBSBXPSE@IBO

3FMBY 4USFTT 3FMBY
ϋχϯά૭ ϋϛϯά૭ ۣܗ૭
W(n) = 0.5 − 0.5 cos(
2πn
N
) W(n) = 0.54 − 0.46 cos(
2πn
N
)
W(n)
૭ؔ਺
W(n) = 1
૭ؔ਺ͷҧ͍ʹΑͬͯɼಉఆ͞Εͨύϥϝʔλʹେ͖ͳҧ͍͕
ੜ͡ͳ͍͜ͱΛ͔֬Ίͨɽ
ӈͷਤ͸ɼϞσϧύϥϝʔλͷ૬ؔΛࣔ͢ɽ
ʢঢ়ଶ͸ɼϦϥοΫεˠετϨεˠϦϥοΫεͷਪҠͰ͋Δʣ

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ࢀߟࢿྉɿ''5ͷ૭ؔ਺ɼύϥϝλಉఆɼϋχϯάͷ۩ମྫ
ϋχϯά૭ͷ*''5ͷྫ ελʔτͷඵ͸QBEEJOH

ղੳ૭ΛΦʔόʔϥοϓΛ͔͚͍ͯΔͷͰɼσʔλ௕͸ഒʹͳΔ͕ɼॲཧͷ࣮࣌ؒ͸ॏͶΔͷͰζϨͳ͍
ύϥϝλಉఆ 
ඵ෼

Time (s)
EEG (micro V)
ॳΊͷඵ͸7Λ
Ճ͍͑ͯΔ ॳΊͷඵ͸7Λ
Ճ͍͑ͯΔ
ύϥϝλಉఆ 
ඵ෼

Time (s)
EEG (micro V)
ɾϋϛϯά૭ͷ৔߹ɼ*''5ͷ࣌ؒ೾ܗ͕྆୺Ͱ7ʹͳΔ͕ɼۣܗ૭Ͱ͸ͦΕ͕ͳ͍
ɾϞσϧύϥϝλಉఆͱ͍͏࢓૊Έ্ɼ྆୺Ͱ೾ܗͷϘϦϡʔϜ͕མͪΔͷ͸ݏɽ
ɾϞσϧύϥϝλͷӨڹʹ͓͍ͯɼ૭ؔ਺ͷӨڹ͕ͳ͍͜ͱΛ͖ͪΜͱௐ΂ͨ ઌߦݚڀͱͷണ཭๷ࢭ
ɽ

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ύϥϝλಉఆʹ࢖༻͢Δ࣌ؒσʔλͷͨΊͷɼ''5ʹ࢖༻͢Δ૭ؔ਺ͷௐࠪ ελʔτͷඵ͸QBEEJOH

ࢀߟࢿྉɿ''5ͷ૭ؔ਺ͷݕ౼ ύϥϝλͷ૬ؔΛΈΔ

ϋχϯά૭ ϋϛϯά૭ ۣܗ૭
प೾਺
ϐʔΫ
A
B
C
*''5 &&(
D
Time(s)
ɾղੳ૭͸ɼඵ෯Λ༻͍͍ͯΔ
ɾΦʔόʔϥοϓ
ɾ࠷ޙͷඵΛύϥϝλಉఆ
ύϥϝλͷ܏޲͸Ͳͷ૭ؔ਺Ͱ΋ಉ༷Ͱ͋Δ
ۣܗ૭ͷ࠾༻
ूத࣌೴೾

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ࢀߟࢿྉɿϋχϯάɼϋϛϯά૭ύϥϝʔλಉఆ ಈը

ඃݧऀ/P $
ͷύϥϝλಉఆ݁Ռɼ૭ؔ਺ͷҧ͍Λ֬ೝ
ϋχϯά૭
प೾਺
ϐʔΫ
ϋϛϯά૭
A
B
C
*''5 &&(
D
Time(s)
प೾਺
ϐʔΫ
A
B
C
*''5 &&(
D
Time(s)

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ࢀߟࢿྉɿۣܗ૭ύϥϝʔλಉఆ ಈը

ඃݧऀ/P $
ͷύϥϝλಉఆ݁Ռɼ૭ؔ਺ͷҧ͍Λ֬ೝ
ۣܗ૭
प೾਺
ϐʔΫ
A
B
C
*''5 &&(
D
Time(s)

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ςετ

ࢀߟࢿྉɿઢܗαϙʔτϕΫλʔϚγϯͷ෼ྨੑೳ
TFD
TFD
ूத
҆੩
TFD
ڭࢣσʔλඵ ςετσʔλඵ
ςετσʔλͰ࢖͏ඵؒͷ৔ॴΛม͑ͯ
߹ܭճ෼Ͱ47.Λ͢Δ
ݕূ 3FMBYڭࢣ 3FMBYςετ 4USFTTڭࢣ 4USFTTςετ
d d d d
d d d d d d
d d d d d d
d d d d d d
d d d d d d
d d d d
ڭࢣ ςετ
3FMBY $PODFOUSBUJPO
ڭࢣ
αϙʔτϕΫλʔϚγϯ͸ɼڭࢣσʔλ ςετσʔλ
ͷ஋͕ภΔ৔߹͕͋ΔͷͰɼަࠩݕূΛ͢Δ
۩ମతͳ਺஋ͷ֬ೝ
ڭࢣσʔλͱςετσʔλΛೖΕସ͑ͯɼ
σʔλࣗମͷภΓ͕ͳ͍͔֬ೝ͢Δ
ɾ࣮ݧσʔλΛڭࢣͱςετʹ෼͚Δ
ɾςετͷྔ͸ڭࢣͷ
ɾύϥϝλ͸"#Λ༻͍Δ

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ࢀߟࢿྉɿઢܗ47.ͷ෼ྨௐࠪ݁Ռ
8PSEݕূaඃݧऀ " # $ %

ฏۉ
λΠϐϯά
Nݕূaඃݧऀ " # $ %

ฏۉ
Ϛεܭࢉ
(BNFݕূaඃݧऀ " # $ %

ฏۉ
ΞϓϦ
֤՝୊ʹ͓͚ΔαϙʔτϕΫλʔϚγϯͷ෼ྨ݁Ռ ަࠩݕূͷฏۉ஋Λݟͯʂ

ɾઢܗ47.Ͱ΋ͦͦ͜͜෼ྨͰ͖Δɽ
ɾඃݧऀ$͸෼ྨਫ਼౓͕ߴ͍͕ɼͦ͏Ͱͳ͍ਓ΋͍Δɽ
ɾ஋෼ྨ ׂ͕࠷௿
ͳͷͰɼඃݧऀʹΑΒͣɼׂҎ্ͷਖ਼ղ཰Λ໨ࢦ͢ΞϧΰϦζϜʹ͍ͨ͠ɽ

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ࢀߟࢿྉɿඇઢܗ47.ͷ݁Ռ A-BͱA-CɼλΠϐϯά

ඇઢܗαϙʔτϕΫλʔϚγϯͷ෼ྨ݁Ռ
A-B A-C
··
x + A·
x + Bx + Cx3 = D
໌Β͔ʹࣦഊ΋͋Δ
೴೾σʔλΛऔΓ௚͢
ࠨଆ͕ڭࢣσʔλͰɼ෼཭ڥքઢΛҾ͍ͯΔ΋ͷɽӈଆ͕ςετσʔλͰɼ෼ྨثͷධՁΛ͍ͯ͠Δ΋ͷ

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ࢀߟࢿྉɿඇઢܗ47.ͷ݁Ռ B-CɼλΠϐϯά

··
x + A·
x + Bx + Cx3 = D
ࠨଆ͕ڭࢣσʔλͰɼ෼཭ڥքઢΛҾ͍ͯΔ΋ͷɽӈଆ͕ςετσʔλͰɼ෼ྨثͷධՁΛ͍ͯ͠Δ΋ͷ
B-C

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ࢀߟࢿྉɿඇઢܗ47.ͷ݁Ռ ަࠩݕূ

A
B
C
҆੩ ूத
҆੩ूத࣌ͷσʔλΛ̑౳෼ͯ͠ɼ
ͦͷ͏ͪͭΛςετσʔλʹ͢Δ
ڭࢣ
ڭࢣ ςετ ςετ
ճ෼ަࠩݕূͷ֤ඃݧऀͷ෼෍
··
x + A·
x + Bx + Cx3 = D
ɾઢܗ47.Ͱ͸શͯͷඃݧऀͰୡ੒ग़དྷͳׂ͔ͬͨͷਖ਼ղ཰͕ɼඇઢܗ47.Ͱ͸ୡ੒͢Δ͜ͱ͕Ͱ͖ͨ

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ࢀߟࢿྉɿඇઢܗ47.ͷ݁Ռ ަࠩݕূ

··
x + A·
x + Bx + Cx3 = D
ɾͭͷಛ௃ྔɼͭ·ΓɼA - B, A - C, B - Cͷͭͷ৔߹ΛऔΓ্͛ɼͦΕͧΕʹ47.Λద༻ͯ҆͠੩ঢ়ଶͱूதঢ়ଶͷ൑ผʹ༻͍ͨ
ɾͲͪΒͷ৔߹͍ʹ͓͍ͯ΋ɼ҆੩ঢ়ଶͱूதঢ়ଶͷ൑ผʹࡍཱͬͯ༏ҐͳϞσϧύϥϝʔλͷ૊Έ߹Θͤ͸ͳ͔ͬͨ
ɾ͔͠͠Ͳͷ৔߹ʹ͓͍ͯ΋ɼͭͷλεΫʹ͓͚Δूதঢ়ଶͷ൑ผ͕΄ͱΜͲҎ্ͷਖ਼ղ཰Ͱ൑ผ͕ՄೳͰ͋Δ͜ͱ͕Θ͔ͬͨ

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ࢀߟࢿྉɿඃݧऀ/Pͷଟ߲ࣜΧʔωϧͷ޻෉
࣍Ҏ্ͷଟ߲ࣜࣸ૾
Λࢼ͕ͨ͠ɼಛ௃্ۭؒͰͷ෼཭௒ฏ໘͕ෳࡶʹͳΔ͚ͩɽ
ɾଟ߲ࣜΧʔωϧ K(xi
, xj
) = (xT
i
xj
+ 1)d
xi
, xj
xT
i
xj

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ࢀߟࢿྉɿඇઢܗ47.ͷ޻෉
Verification of a system to determine concentration state
Running window
Band Pass in sub-bands
between 4 - 30 Hz
IFFT
Parameter identification
ɾɾɾ
Standardization
Tree-dimensional
polynomial mapping
Train/Cross Validate
SVM Classifier
Standardization
Tree-dimensional
polynomial mapping
Tree-dimensional
polynomial mapping
Tree-dimensional
polynomial mapping
Xstd
=
X − ¯
X
σ
Standardization
෼෍ฏۉ
ඪ४ภࠩ
(A, B)
ɹ↓
( 1, A, B, A2, AB, B2, A3, A2B, AB2, B3)
Tree-dimensional
polynomial mapping
ɾଟ߲ࣜΧʔωϧ K(xi
, xj
) = (xT
i
xj
+ 1)3
xi
, xj
xT
i
xj
A
B
A
B
࣍ݩ֦ு
ࣸ
૾
ͷ
֓
೦
ฏۉ஋෼ࢄͷσʔλ܊ʹଗ͑Δˠࣸ૾
ඪ४Խͱ࣍ݩͷଟ߲ࣜࣸ૾

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ࢀߟࢿྉɿඇઢܗ47.ʹΑΔूத൑ผ
3FBMUJNFूதঢ়ଶ൑ผςετ
ܭଌऴྃޙͷը૾
҆੩ ෼
λΠϐϯάࢼݧ ෼

ϕωοη͕ग़͍ͯ͠Δ 
ݕఆͷλΠϐϯάαΠτ
ന͍นΛ௚ࢹ
ࢼݧલετϨον

௒ͥͭ҆Β͙ঢ়ଶ

࣮ݧ৚݅
೴೾ܭ͸&NPUJW&10$ɼTBNQMJOHप೾਺)[ɼऔಘϲॴ͸0

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ಈը൛
3FBMUJNFूதঢ়ଶ൑ผςετಈը൛
ࢀߟࢿྉɿඇઢܗ47.ʹΑΔूத൑ผ
ूதঢ়ଶ͔Ͳ͏͔Λ
൑ผ͢Δάϥϑ
ύϥϝλϚοϓ
͋Β͔͡ΊύʔιφϥΠζ͞Εͨ΋
ͷΛ࡞੒͓ͯ͘͠ඞཁ͕͋Δ

࣮ݧ͝ͱʹઃఆͨ͠ঢ়ଶΛݩʹ
ͦͷਓ͕Ͳͷ͘Β͍ूதͰ͖͍ͯ
͔ͨΛ࠷ޙʹฦ͢

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ࢀߟࢿྉɿ೴೾ͷ৽ͨͳ৘ใఏࣔʹ޲͚ͨऔΓ૊Έ
೴೾Λ࢖ͬͨ৽͍͠πʔϧͷ։ൃʹ޲͚ͯ
··
x + A ·

ϦϥοΫε ूத ϦϥοΫε
＜Modeling＞
Modeling of EEG, 1DOF, no random term
ूத
ϦϥοΫε
ɾਓؒঢ়ଶΛՄࢹԽͰ͖Δ 
ɾݸਓͷಘҙෆಘҙ͕Θ͔Δ 
ɾ࣬ױͷ਍அࢧԉ͕Ͱ͖Δ 
ɾΞϓϦέʔγϣϯͷ૑ग़ 
ɾࣾձ͕ଟ༷ʹͳͬͯ໘ന͘ͳΔ
ଞͷੜཧ ਫ਼ਆ
׆ಈʹ 
ؔ࿈͕͋Δ͔΋
ڥքΛ෼͚ΔͨΊͷ࢓૊Έ
ਓ
෼
ͷ
 
ώ
τ
೴
೾
ͩ
Α
ಈըϑΝΠϧ
Necomimi, Neurowear, Japan, Oﬃcial video
Τϯλϝͷಓ۩ͱͯ͠
೴೾͕࢖ΘΕ͍ͯΔ
ಈըϑΝΠϧ

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֎෦ϦϯΫɿ4MJEF4IBSFʹஔ͍ͯ·͢
αϙʔτϕΫλʔϚγϯʹؔ͢Δৄ͍͠આ໌͸ҎԼ
IUUQTXXXTMJEFTIBSFOFUTTVTFSGTWN
αϙʔτϕΫλʔϚγϯ 47.
ͷ਺ֶΛΈΜͳʹઆ໌͍͚ͨͩ͠ͷձ
ΫϦοΫͰඈ΂·͢

લճͷதؒใࠂͷࢿྉ
IUUQTXXXTMJEFTIBSFOFUTTVTFSGFFHBOBMZTJTOPOMJOFBS
ΫϦοΫͰඈ΂·͢

ώτͷঢ়ଶਪఆΛ͢ΔͨΊʹ೴೾ͷ࣌ܥྻσʔλΛ೗ԿʹϞσϦϯά͢Δ͔ʁ

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脳波モデルを用いたReal-time集中状態判別器の実演と現状の稼働アルゴリズムの紹介

脳波モデルを用いたReal-time集中状態判別器の実演と現状の稼働アルゴリズムの紹介

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