2023年2月28日(水):13:00-13:45
SPEASIP 2023招待講演
13:00-13:30:講演
13:30-13:40:16チャネル小型円形スピーカアレイおよび64チャネル直線スピーカアレイを用いた実演デモ
13:40-14:45:質疑応答
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z = 0 [m]
[dB]
1.5 2 2.5
y [m]
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
x [m]
-30
-25
-20
-15
-10
-5
0
[dB]
z = 0 [m]
X axis [m]
-1 0 1
Y axis [m]
-1.5
-1
-0.5
0
0.5
1
1.5
-40
-30
-20
-10
0
Y axis [m]
X axis [m]
z = 0 [m]
[dB]
−2 −1 0 1 2
−2
−1.5
−1
−0.5
0
0.5
1
1.5
2
−40
−35
−30
−25
−20
−15
−10
−5
0
z = 0 [m]
[dB]
-1 0 1 2 3 4
y [m]
-2
-1
0
1
2
x [m]
-40
-35
-30
-25
-20
-15
-10
-5
0
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8"41"" +*).41 *8"&/$ 8"41""
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Quiet zone
Listening
zone
rq
rq
rb
r1
r2
ro
ri
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Reproduced sound field and reproduction error
Sound field represented by angular spectrum coefficients
Sound field recorded by linear receiver (Spatial Fourier transform)
2.5D HOA for circular secondary sources (J. Ahrens et al. 2008.)
Analytical driving function of 2.5D synthesis
Analytical approaches to sound field recording and reproduction
Analytical conversion of sound field representation
Analytical driving function of 2.5D synthesis for circular secondary sources
Sound field recorded by linear microphone arrays can be reproduced by
circular loudspeaker arrays
2.5D higher-order Ambisonics
for a sound field described by angular spectrum coefficients
Takuma OKAMOTO, National Institute of Information and Communication Technology, Japan
1. Introduction
2. Analytical conversion of sound field representation
3. Proposed formulation
4. Computer simulations
Reproduction error
Sound field
Lmic = Lsp = 64 ch, x = 0.05 m, r0 = 2.0 m, xs = [1, 5, 0]T
˜
P( k, !) = ˜
P(kx, !) =
Z 1
1
P(x, 0, !)ejkxxdx =
Z 1
1
P(x, 0, !)ejk cos( k)xdx
˚
D2.5D,m(r0, !) =
( j)|m| 1
⇡r0h(2)
|m|
(kr0)
Z ⇡
0
˜
P( k, !) sin( k)e jm k d k
˚
D2.5D,m(r = 0, r0, !) =
1
2⇡r0
·
ˇ
Pm
|m|
(!)
jkh(2)
|m|
(kr0)Y m
|m|
(⇡/2, 0)⇤
ˇ
Pm
|m|
(rs, !) = jkh(2)
|m|
(krs)Y m
|m|
(✓s, s)⇤
ˇ
Pm
|m|
( k, !) = 4⇡( j)|m|Y m
|m|
(⇡/2, k)⇤
Plane wave :
Point source :
Z k p
Higher order Ambisonics (HOA)
Recording stage Reproduction stage
Spectrum division method (SDM)
Angular spectrum
Spherical harmonics expansion
Flexible sound field recording and reproduction
J. Ahrens et al. 2012.
WFS for SHE
Proposed approach
Integrated with
from to
k = 0 ⇡
(k/2⇡) ˜
P( k, !) sin( k)
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(a) (c) (d)
(b)
ˇ
Sm
n
Data-based synthesis
Model-based synthesis
˜
Sm(kx) ˜
S(R, , kx)
D(x0)
R
y0
x x x
y y y
z z z
Appropriate rotation
˜
S(ysyn, 0, kx)
ysyn
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
A 1
1
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A1
1
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A 2
2
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A0
2
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A2
2
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A 3
3
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
A 1
3
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
A1
3
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
A3
3
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···
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sha1_base64="LkI1ID8vpBUegAiZ3D3P4NOAYks=">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
sha1_base64="LkI1ID8vpBUegAiZ3D3P4NOAYks=">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
···
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sha1_base64="LkI1ID8vpBUegAiZ3D3P4NOAYks=">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
sha1_base64="LkI1ID8vpBUegAiZ3D3P4NOAYks=">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
sha1_base64="LkI1ID8vpBUegAiZ3D3P4NOAYks=">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
· · ·
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· · ·
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· · ·
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(a) recording S(r, /2, )
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
(c) 2.5D synthesis with D(r0)
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
Estimation
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
Conversion
AAACbXichVHLSsNAFD2Nr1ofrYogKFIsVVdlWgTFVaEbl33YB9ZSkjitoWkSkrRQiz/gWnAhCgoi4me48Qdc9BPEhYsKblx4mwZEi3pDZs6ce8+dMzOSoSqWzVjHIwwNj4yOecd9E5NT0/7AzGzO0humzLOyrupmQRItrioaz9qKrfKCYXKxLqk8L9USvXy+yU1L0bVdu2XwUl2sakpFkUWbqL2ErrnZciDEIsyJ4CCIuiAEN5J64Bb7OIAOGQ3UwaHBJqxChEVfEVEwGMSV0CbOJKQ4eY5j+EjboCpOFSKxNRqrtCq6rEbrXk/LUcu0i0q/ScogwuyJ3bEue2T37Jl9/Nqr7fToeWnRLPW13Cj7TxYy7/+q6jTbOPxS/enZRgVbjleFvBsO0zuF3Nc3j866me10uL3KrtkL+b9iHfZAJ9Cab/JNiqfP4aMHiP687kGQi0WihFOxUHzDfQovFrGCdbrvTcSxgySytK+GU1zg0vMqzAtLwnK/VPC4mjl8C2HtE7CbjfA=
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
AAACbXichVHLSsNAFD2Nr1ofrYogKFIsVVdlWgTFVaEbl33YB9ZSkjitoWkSkrRQiz/gWnAhCgoi4me48Qdc9BPEhYsKblx4mwZEi3pDZs6ce8+dMzOSoSqWzVjHIwwNj4yOecd9E5NT0/7AzGzO0humzLOyrupmQRItrioaz9qKrfKCYXKxLqk8L9USvXy+yU1L0bVdu2XwUl2sakpFkUWbqL2ErrnZciDEIsyJ4CCIuiAEN5J64Bb7OIAOGQ3UwaHBJqxChEVfEVEwGMSV0CbOJKQ4eY5j+EjboCpOFSKxNRqrtCq6rEbrXk/LUcu0i0q/ScogwuyJ3bEue2T37Jl9/Nqr7fToeWnRLPW13Cj7TxYy7/+q6jTbOPxS/enZRgVbjleFvBsO0zuF3Nc3j866me10uL3KrtkL+b9iHfZAJ9Cab/JNiqfP4aMHiP687kGQi0WihFOxUHzDfQovFrGCdbrvTcSxgySytK+GU1zg0vMqzAtLwnK/VPC4mjl8C2HtE7CbjfA=
(b) Am
n
for n + |m| even
AAACwXichVHLbtQwFD0NrzI8OoUNEpuIaVERUuVUlai6KuqGZR9MW2kyjJKMp7Ua21Himba4/gF+gAUrkBBC/AVs+AEW/QMQq7ZIbFhwJxMJQQXcKPa5x/dcH9txlorCMHY05p07f+HipfHLtStXr12fqE/e2Ch0P094M9GpzrfiqOCpULxphEn5VpbzSMYp34x3l4frmwOeF0Krx+Yg420ZbSvRE0lkiOrUw1DxvURLGamuDWPhWkHbhjLW+5TptCsjs+NPNYIp52qh4fvGzsT3fPewY5V7YqUbcX5P575T9w/lYUXwAVeuU2+wWVaGfxYEFWigihVdf4MQXWgk6EOCQ8EQThGhoK+FAAwZcW1Y4nJColzncKiRtk9VnCoiYndp3KasVbGK8mHPolQntEtKf05KH9PsE3vLTtlH9o59YT/+2suWPYZeDmiOR1qedSae3Vr//l+VpNlg55fqn54NelgovQrynpXM8BTJSD94+vx0fXFt2t5lr9hX8v+SHbEPdAI1+Ja8XuVrL1CjBwj+vO6zYGNuNiC8Ot9Ymq+eYhy3cQczdN8PsIRHWEGT9n2PzzjGibfsCS/z8lGpN1ZpbuK38OxPgsavaA==
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···
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···
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· · ·
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· · ·
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· · ·
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
AAACaXichVHLSsNAFD2Nr1ofbXUjuimGiqsyFcHiquDGZX20FtpSknRaY9MkJNNCLf6AK3eirhRExM9w4w+48BPEpYIbF96kAdGi3mFmzpy5586ZGdU2dFcw9hSShoZHRsfC45GJyanpaCw+U3CttqPxvGYZllNUFZcbusnzQhcGL9oOV1qqwffU5oa3v9fhjqtb5q7o2rzSUhqmXtc1RRBVKGs1S7jVmMxSzI/EIEgHQEYQOSt2gzJqsKChjRY4TAjCBhS41EpIg8EmroIecQ4h3d/nOEKEtG3K4pShENuksUGrUsCatPZqur5ao1MM6g4pE0iyR3bLXtkDu2PP7OPXWj2/huelS7Pa13K7Gj2e23n/V9WiWWD/S/WnZ4E6Mr5XnbzbPuPdQuvrO4enrzvr28neErtiL+T/kj2xe7qB2XnTrrf49gUi9AHpn889CAorqTThrVU5mwm+IowFLGKZ3nsNWWwihzyde4ATnOE89CLFpTlpvp8qhQLNLL6FJH8CtmGMIQ==
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
ˇ
A0
0
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
AAACdnichVHLSsNAFD2N7/qquhEEEUvVldyKoLhS3LjU1qqgtSTjtIamSUjSiob+gD/gQlwoaBE/w40/4KKfIC4VdOHC2zQgWtQ7zMyZM/fcOTOj2YbuekT1iNLW3tHZ1d0T7e3rHxiMDQ1vuVbZETIjLMNydjTVlYZuyoyne4bcsR2pljRDbmvF1cb+dkU6rm6Zm96xLbMltWDqeV2oHlO52NCeOJSi6K9Ucz5V97nnYnGapSAmWkEyBHGEsW7FatjDASwIlFGChAmPsQEVLrddJEGwmcvCZ85hpAf7ElVEWVvmLMkZKrNFHgu82g1Zk9eNmm6gFnyKwd1h5QQS9Ei39EIPdEdP9PFrLT+o0fByzLPW1Eo7N3g6mn77V1Xi2cPhl+pPzx7yWAy86uzdDpjGLURTXzk5e0kvpRL+FF3RM/u/pDrd8w3Myqu43pCpc0T5A5I/n7sVbM3NJhlvzMeXF8Ov6MYYJjHD772AZaxhHRk+9wgXuEEt8q6MKwllupmqRELNCL6FQp9XXJDn
AAACdnichVHLSsNAFD2N7/qquhEEEUvVldyKoLhS3LjU1qqgtSTjtIamSUjSiob+gD/gQlwoaBE/w40/4KKfIC4VdOHC2zQgWtQ7zMyZM/fcOTOj2YbuekT1iNLW3tHZ1d0T7e3rHxiMDQ1vuVbZETIjLMNydjTVlYZuyoyne4bcsR2pljRDbmvF1cb+dkU6rm6Zm96xLbMltWDqeV2oHlO52NCeOJSi6K9Ucz5V97nnYnGapSAmWkEyBHGEsW7FatjDASwIlFGChAmPsQEVLrddJEGwmcvCZ85hpAf7ElVEWVvmLMkZKrNFHgu82g1Zk9eNmm6gFnyKwd1h5QQS9Ei39EIPdEdP9PFrLT+o0fByzLPW1Eo7N3g6mn77V1Xi2cPhl+pPzx7yWAy86uzdDpjGLURTXzk5e0kvpRL+FF3RM/u/pDrd8w3Myqu43pCpc0T5A5I/n7sVbM3NJhlvzMeXF8Ov6MYYJjHD772AZaxhHRk+9wgXuEEt8q6MKwllupmqRELNCL6FQp9XXJDn
ˇ
A 1
1
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
ˇ
A1
1
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
ˇ
A0
2
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
ˇ
A 2
2
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
ˇ
A2
2
AAACdnichVHLSsNAFD2N7/po1Y0giFiqrsqNCIorxY1LX1XBR0nGaRuaJiFJKxr6A/6AC3GhoCJ+hht/wIWfIC4VdOHC2zQgWtQ7zMyZM/fcOTOjO6bh+USPMaWlta29o7Mr3t3T25dI9g9seHbFFTIrbNN2t3TNk6Zhyaxv+KbcclyplXVTbuqlxfr+ZlW6nmFb6/6hI3fLWsEy8obQfKZyyf4dUZSiFCzUcsFUbY97LpmiDIUx2gzUCKQQxbKdvMYO9mFDoIIyJCz4jE1o8LhtQwXBYW4XAXMuIyPcl6ghztoKZ0nO0Jgt8Vjg1XbEWryu1/RCteBTTO4uK0eRpge6oRe6p1t6oo9fawVhjbqXQ571hlY6ucTx0Nrbv6oyzz6KX6o/PfvIYzb0arB3J2TqtxANffXo5GVtbjUdjNMFPbP/c3qkO76BVX0Vlyty9RRx/gD153M3g42pjMp4ZTo1Pxt9RSeGMYZJfu8ZzGMJy8jyuQc4wxWuY+/KiJJWJhqpSizSDOJbKPQJX2iQ6w==
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
ˇ
A 3
3
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
ˇ
A 1
3
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
ˇ
A1
3
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
ˇ
A3
3
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
*$"441
8"41""
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Zone 1
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
Zone Q
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
Zone q
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R
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
ri
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
re
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
Cylindrical
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ba✏e
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
Global
AAACd3ichVHLSgMxFD0d3/XRqhvBhcXS0lXJdKHiquDGpVX7AJUyM6Y1OJ0ZZtJiLf6AP+BCEBSkip/hxh9w0U8QlwoiuPB2OiBa1BuSnJzcc3OS6I4pPMlYJ6QMDA4Nj4yOhccnJqci0emZgmfXXYPnDdu03ZKuedwUFs9LIU1eclyu1XSTF/XDte5+scFdT9jWtmw6fK+mVS1REYYmiSpHZ1xeJRCzKzFhSe5yT5ajcZZmfsT6gRqAOILYsKNt7GIfNgzUUQOHBUnYhAaP2g5UMDjE7aFFnEtI+PscJwiTtk5ZnDI0Yg9prNJqJ2AtWndrer7aoFNM6i4pY0iwR3bLXtgDu2NP7OPXWi2/RtdLk2a9p+VOOXI6t/X2r6pGs8TBl+pPzxIVrPheBXl3fKZ7C6OnbxyfvWytbiZaSXbFnsn/Jeuwe7qB1Xg1rnN88xxh+gD153P3g0ImrS6lM7lMPJsJvmIU81hEit57GVmsYwN5OvcIF2jjJvSuLChJJdVLVUKBZhbfQlE/AVBJkVc=
region of interest
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Rl
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
Rq
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
Rl
AAACcXichVHLSgMxFD0dX7U+WnWjuCktiiCUtIiKq4Ibl9raB7RaZsZoh86LmbRQh/6AP6DgSkFE/Aw3/oCLfoK4rODGhbfTAVFRb0hycnLPzUmi2LrmCsa6IWloeGR0LDwemZicmo7GZmaLrtV0VF5QLd1yyorscl0zeUFoQudl2+Gyoei8pDS2+/ulFndczTL3RdvmB4Z8YmrHmioLog5zNa9qyKLuGJ7e6dRiSZZifsR/gnQAkghi14rdooojWFDRhAEOE4KwDhkutQrSYLCJO4BHnENI8/c5OoiQtklZnDJkYhs0ntCqErAmrfs1XV+t0ik6dYeUcSyxJ3bHeuyR3bNn9v5rLc+v0ffSplkZaLldi57N59/+VRk0C9Q/VX96FjjGpu9VI++2z/RvoQ70rdPzXn4rt+Qts2v2Qv6vWJc90A3M1qt6s8dzl4jQB6S/P/dPUMyk0uupzN5aMpsJviKMRSSwQu+9gSx2sIsCnevgAle4DvWkBSkuJQapUijQzOFLSKsf87GP6w==
Rl
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
Interior Ambisonics 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
Exterior Ambisonics
౸དྷԻܕΞϯϏιχΫε
໘߹๏ɼεϖΫτϧআࢉ๏
DIٿܗϚΠΫϩϗϯΞϨΠˏ౦େ DIแғܕεϐʔΧΞϨΠˏ౦େ
DIแғܕϚΠΫϩϗϯΞϨΠˏ౦େ DIٿܗεϐʔΧΞϨΠˏ/*$5
DIೋઢϚΠΫϩϗϯΞϨΠˏ/*$5 DIೋઢεϐʔΧΞϨΠˏ/*$5
ҰਓͰͷ࣋ͪӡͼ͍͠
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ͦΕͧΕͷྖҬͰผʑͷԻΛಉ࣌ʹ࠶ݱ
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Bright zone
(Listening area)
(null)
(null)
(null)
(null)
Dark zone
(Quiet area)
(null)
(null)
(null)
(null)
B
ہॴ࠶ੜ
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)FMMP
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Japanese
area
(null)
(null)
(null)
(null)
English
area
(null)
(null)
(null)
(null)
Chinese
area
(null)
(null)
(null)
(null)
C
Ϛϧνεϙοτ࠶ੜ
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ϚϧνԻ੍ޚ
ແԻ
ಧ͚͍ͨਓ͚ͩʹඞཁͳԻΛಧ͚Δٕज़
ԿʹʮԻ͕ฉ͑͜ͳ͍ྖҬʯΛܗ͢Δ͔
ϔουηοτ
ϝϦοτɿଞͷԻ࿙Ε͕ͳ͍ɼԻ࣭͕Α͍
σϝϦοτɿਓΛ༻ҙ͢Δඞཁ͕͋Δɼ৮ܕͰ͋ΔͨΊײછରࡦతʹݒ೦͋Γ
ԻεϐʔΧ
ϝϦοτɿݸਓ͝ͱͷσόΠεෆཁɼӶ͍ࢦੑɼඇ৮
σϝϦοτɿԻ࣭͕՝ɼԻྖҬͰE#Ҏ্ͷԻѹϨϕϧ ݈߁ඃͷݒ೦
εϐʔΧΞϨΠΛ༻͍ͨہॴ࠶ੜɾϚϧνεϙοτ࠶ੜ
ϝϦοτɿݸਓ͝ͱͷσόΠεෆཁɼӶ͍ࢦੑɼඇ৮ɼ݈߁ඃͳ͠ɼԻ࣭͕Α͍
ݚڀ՝ɿ੍ޚਫ਼্ɼখܕԽɼ࣮༻Խ
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৽ͨͳԻఏٕࣔज़
ैདྷٕज़ FH+$IPJFUBM
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ٯߦྻԋࢉඇৗʹෆ҆ˠਖ਼ଇԽ͕ඞཁ
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Bright zone
(Listening area)
(null)
(null)
(null)
(null)
Dark zone
(Quiet area)
(null)
(null)
(null)
(null)
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.
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
Loudspeaker array
(null)
(null)
(null)
(null)
Control points
(null)
(null)
(null)
(null)
Driving
function
(null)
(null)
(null)
(null)
Transfer
function
(null)
(null)
(null)
(null)
Sound
pressures
(null)
(null)
(null)
(null)
ݪཧ
Իͷฉ͑͜ΔྖҬͷԻѹΛɼฉ͑͜ͳ͍ྖҬͷԻѹΛˠۣܗ૭ͱͯ͠࿈ଓతʹϞσϧԽ
ۣܗ૭ͷۭؒϑʔϦΤม4JODؔͱͯ͠ղੳతʹಋग़Մೳ
ઢԁܗͷεϐʔΧΞϨΠ߹ୡಛੑͷۭؒϑʔϦΤมղੳతʹಋग़Մೳ
ಛੑ
ಈํఔ͔ࣜΒಋग़͞ΕΔۭؒϑʔϦΤมʹΑΓཧతͳҐஔؔΛߟྀ
҆ఆͳΤόωοηϯτΛআڈͨ͠ۦಈ৴߸҆ఆͨ͠ۦಈ৴߸
4QBUJBM'PVSJFSUSBOTGPSNCBTFENFUIPET
y
x
z
r0
rref
Φ
φs
P(rref , φ, 0, ω) = 1
P(rref , φ, 0, ω) = 0
Bright zone Circular loudspeaker array
Reference circle
Dark Zone
x
Linear sound source
lb
xb
Bright
Dark
shift
Dark
Window function
y
y = yb
P(x, yb) = 0
50LBNPUPFUBM+"DDPTU4PD"N
50LBNPUP8"41""
࣮ͨ͠νϟωϧઢΞϨΠΛ༻͍ͨํࣜ
ैདྷٕज़Λ্ճΔ੍ޚੑೳΛ࣮ݱ
&YQFSJNFOUBMSFTVMUTPGMJOFBSBSSBZ
DS CM LS SFT (rect.) SFT (Hann)
z = 0 [m]
[dB]
1.5 2 2.5
y [m]
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
x [m]
-30
-25
-20
-15
-10
-5
0
z = 0 [m]
[dB]
1.5 2 2.5
y [m]
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
x [m]
-30
-25
-20
-15
-10
-5
0
z = 0 [m]
[dB]
1.5 2 2.5
y [m]
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
x [m]
-30
-25
-20
-15
-10
-5
0
z = 0 [m]
[dB]
1.5 2 2.5
y [m]
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
x [m]
-30
-25
-20
-15
-10
-5
0
z = 0 [m]
[dB]
1.5 2 2.5
y [m]
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
x [m]
-30
-25
-20
-15
-10
-5
0
0 1 2 3 4 5
Temporal frequency [kHz]
0
5
10
15
20
25
30
35
40
Bright to dark ratio [dB]
DS CM LS SFT (rect.) SFT (Hann)
50LBNPUPFUBM+"DDPTU4PD"N
νϟωϧԁܗΞϨΠΛ༻͍ͨํࣜ
ैདྷٕज़Λ্ճΔ੍ޚੑೳΛ࣮ݱ
0 1 2 3 4 5
Temporal Frequency [kHz]
0
5
10
15
20
25
BDR [dB]
Spatial Nyquist Frequency
LS method (open)
LS method (baffled)
Beamforming (open)
Beamforming (baffled)
Proposed (open)
Proposed (baffled)
z = 0 [m]
[dB]
-1 0 1
X axis [m]
-1.5
-1
-0.5
0
0.5
1
1.5
Y axis [m]
-40
-30
-20
-10
0
z = 0 [m]
[dB]
-1 0 1
X axis [m]
-1.5
-1
-0.5
0
0.5
1
1.5
Y axis [m]
-40
-30
-20
-10
0
z = 0 [m]
[dB]
-1 0 1
X axis [m]
-1.5
-1
-0.5
0
0.5
1
1.5
Y axis [m]
-40
-30
-20
-10
0
ଟ੍ޚ -4
ϏʔϜϑΥʔϛϯά ఏҊ๏
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νϟωϧઢεϐʔΧΞϨΠΛ༻͍ͨϚϧνεϙοτ࠶ੜ
1SFWJPVTJNQMFNFOUFETZTUFN
͜Μʹͪ
)FMMP
㟬
Japanese
area
(null)
(null)
(null)
(null)
English
area
(null)
(null)
(null)
(null)
Chinese
area
(null)
(null)
(null)
(null)
Bright zone
(Listening area)
(null)
(null)
(null)
(null)
Dark zone
(Quiet area)
(null)
(null)
(null)
(null)
Իͷฉ͑͜Δ
ΤϦΞ
Իͷฉ͑͜ͳ͍
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ॏͶ߹Θͤ
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50LBNPUP*$"441
Ԭຊຏ
ݚڀςʔϚɿཧɾཧϞσϧʹجͮ͘Ի৴߸ɾԻۭؒͷग़
Իڹ৴߸ॲཧɿಛʹԻऩɾ੍ޚ ϚΠΫϩϗϯɾεϐʔΧΞϨΠ৴߸ॲཧ
݄ʙ݄ɿ౦େֶઌԻใγεςϜ म࢜ɾത࢜ɾϙευΫ
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݄ʙݱࡏɿχϡʔϥϧωοτϫʔΫΛ༻͍ͨԻ߹ɾԻܗੜˏ/*$5
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ສਓͷԻΛςΩετม
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/*$5Ͱͷ
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/FVSBMTQFFDIXBWFGPSNTZOUIFTJTNPEFMT
χϡʔϥϧܗੜϞσϧʹؔ͢ΔऔΓΈ ԬຊɼԻڹࢽ
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Acoustic features h
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or
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
RNN layers
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
Sampling
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Dilated CNN layers
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
(Causal)
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Previous samples
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Upsampling
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
Conditioning
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.
.
.
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In inferece
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
e.g. WaveNet, WaveRNN, LPCNet
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Probability p(xt
|x0, · · · , xt 1, h)
AAACfXichVHLSgMxFD0dX7W+qm4EN8VScSEllaLiquDGldhqVWilzIxpHTovZtLSOtQP8AdcuFIUEdGfcOMPuPATxKWCG0FvpwOiot6Q5OTknpuTRLF1zRWMPYSkru6e3r5wf2RgcGh4JDo6tulaNUfledXSLWdbkV2uaybPC03ofNt2uGwoOt9Sqsvt/a06d1zNMjdE0+Y7hlwxtbKmyoKoUnSiKHhDeKs0xFzZsHUeazVKnmiVonGWZH7EfoJUAOIIYs2KXqCIXVhQUYMBDhOCsA4ZLrUCUmCwiduBR5xDSPP3OVqIkLZGWZwyZGKrNFZoVQhYk9btmq6vVukUnbpDyhgS7J5dsmd2x67YI3v7tZbn12h7adKsdLTcLo0cTqy//qsyaBbY+1T96VmgjEXfq0bebZ9p30Lt6Ov7R8/rS7mEN81O2RP5P2EP7JZuYNZf1PMszx0jQh+Q+v7cP8HmXDI1n0xn0/FMOviKMCYxhRl67wVksII15OncA5zhGjehdykhzUrJTqoUCjTj+BLSwgfU6JRP
Next sample xt
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(a) Auto-regressive models
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Gaussian noise
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Upsampling
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
Conditioning
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.
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
Dilated CNN layers
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
(Non-causal)
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
Gaussian noise
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
Invertible layers
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
Upsampling
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
Conditioning
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
.
.
.
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
Upsampling
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
+ CNN layers
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
Upsampling
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
+ CNN layers
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
.
.
.
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
.
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.
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
Di↵usion probabilistic models
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
Conditioning
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
Original waveform x0 AAACg3ichVHLSgMxFD2O7/qquhEEKRZFEEpaioogFFzo0lcf0IrMjFFDpzPDJC1q6c6VP+DClYKIutQ/cOMPuPATxKWCGxfeGQdERb0hycnJPTcnieFaQirGHpq05pbWtvaOzkhXd09vX7R/ICedqmfyrOlYjlcwdMktYfOsEsriBdfjesWweN4oz/v7+Rr3pHDsNbXn8vWKvm2LLWHqiqiN6EhJ8V1VX9CrUgrdjtmOkDzWKHFXCstPiLMECyL2EyRDEEcYS070HCVswoGJKirgsKEIW9AhqRWRBINL3DrqxHmERLDP0UCEtFXK4pShE1umcZtWxZC1ae3XlIHapFMs6h4pYxhj9+yCPbM7dsUe2duvtepBDd/LHs3Gh5a7G32HQ6uv/6oqNCvsfKr+9KywhZnAqyDvbsD4tzA/9LX9o+fV2ZWx+jg7ZU/k/4Q9sFu6gV17Mc+W+coxIvQBye/P/RPkUonkVCK9nI5n0uFXdGAYo5ig955GBotYQpbOPcAlrnGjtWqTWkoLc7WmUDOIL6HNvQNmipXX
Gaussian noise ✏
AAACnXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtYxBQXFpVUxyQlFlXHJOYUZCTW1ipUxFcb1GpDZAx1UeViUguKM3NAWpUN9AzAQAGTYQhlKDNAQUC+wHKGGIYUhnyGZIZShlyGVIY8hhIgO4chkaEYCKMZDBkMGAqAYrEM1UCxIiArEyyfylDLwAXUWwpUlQpUkQgUzQaS6UBeNFQ0D8gHmVkM1p0MtCUHiIuAOhUYVA2uGqw0+GxwwmC1wUuDPzjNqgabAXJLJZBOguhNLYjn75II/k5QVy6QLmHIQOjC6+YShjQGC7BbM4FuLwCLgHyRDNFfVjX9c7BVkGq1msEig9dA9y80uGlwGOiDvLIvyUsDU4NmM3ABI8AQPbgxGWFGeoZmeiaBJsoOJtCo4GCQZlBi0ACGtzmDA4MHQwBDKNDeeQxHGM4ynGOSZ3Jl8mHygyhlYoTqEWZAAUzhAEbQoQM=
p
¯
↵x0 +
p
1 ¯
↵✏
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
Noise level
p
¯
↵
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
Gaussian noise ✏
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In training
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In inference
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In training
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
e.g. ClariNet, Parallel WaveGAN 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
e.g. WaveGlow, WaveFlow 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
e.g. MelGAN, HiFi-GAN 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
e.g. WaveGrad, Di↵Wave, BDDM
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(b) CNN-based models 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
(c) Flow-based models 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
(d) Upsampling-based models 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
(e) Di↵usion probabilistic models
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Parallel waveform generative models
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
Speech waveform 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
Speech waveform
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
Speech waveform
"436
*$"441
4-5
4QFFDI$PNN
*$"441 "436
*$"441
*OUFSTQFFDI
/FVSBMUFYUUPTQFFDINPEFMT
χϡʔϥϧԻ߹Ϟσϧʹؔ͢ΔऔΓΈ
χϡʔϥϧ554ԻڹϞσϧ
*OUFSTQFFDI
"436
*$"441
"436
&OEUPFOE࣭มϞσϧ
Իߨ य़
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
Acoustic features
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
Synthesized speech waveform
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
Charactor
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
Phoneme
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
Frame
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
Sample
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
Uniform
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
upsampling
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
Input text
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
Phoneme sequence
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
Synthesized speech waveform
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
Intermediate features
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
Encoder
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
Decoder
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
Text-analyzer (G2P)
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
(a) Pipeline TTS models 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
(b) Entire end-to-end TTS models
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
Acoustic models
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
(including duration models)
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
Speech waveform
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
(=Neural vocoders)
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
generative models
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
Non-uniform
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
upsampling
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
(=Alignment)
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
Temporal resolution unit
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13.44 cm
2.5 cm
3.1 cm
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
13.44 cm
DIΞϯϓ
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ΤʔδΣϯτz
Ϛϧνεϙοτ࠶ੜ +414Պݚඅج൫$දЋ
rɿ˓Ԭຊɼz࣌มۭؒϑΟϧλϦϯάʹجͮ͘࠶ੜ৴߸దԠܕϚϧνεϙοτ࠶ੜz
ΦϯϥΠϯʹͯԁܗΞϨΠ͓ΑͼઢΞϨΠσϞ൸࿐༧ఆ ؒʹ߹͑ɽɽ
"OOPVODFNFOU"4+4!0OMJOF
࣮͔ͨ͠Βͦ͜ɾɾɾ
Έͳ͞·ʹฉ͍ͯΒ͑·ͨ͠টߨԋ͍͖ͨͩ·ͨ͠
࣮JTϗϯϚʹBMMXFOFFE
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13.44 cm
ࡢ։ൃͨ͠
ߴɾߴ࣭χϡʔϥϧԻ߹
7PJDF5SBࡌத
ߴ࣭
$16ͷΈͰߴಈ࡞
ͭͷωοτϫʔΫ͕ඞཁ
ςΩετ
ςΩετղੳॲཧ
Իڹಛྔ
ߴ࣭χϡʔϥϧωοτϫʔΫܗੜϞσϧ
.VMUJTUSFBN)J'J("/
ߴ࣭χϡʔϥϧωοτϫʔΫԻڹϞσϧ
Իܗ
ߴ࣭
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5BLFIPNFNFTTBHF
ԻϚϧνεϙοτ࠶ੜ Ի੍ޚ
ٕज़ͱଟݴޠԻ߹ٕज़ͷ༥߹
νϟωϧখܕԁܗεϐʔΧΞϨΠΛ༻͍ͨϚϧνεϙοτ࠶ੜγεςϜͷ࣮
ˠεϐʔΧΞϨΠͷσϞֶ͕ձձͰͰ͖ΔΑ͏ʹͳͬͨ
ଟݴޠχϡʔϥϧԻ߹Λಋೖͨ͠ݴޠԻϚϧνεϙοτγεςϜͱ࣮ͯ͠
ˠ༁͞Ε֤ͨݴޠͷԻ͕ͦΕͧΕҧͬͨॴͰฉ͑͜ΔԻ༁ͷ৽ͨͳ6*ΛఏҊ
࣮JTϗϯϚʹBMMXFOFFE
ࠓޙͷ՝
طଘํࣜͱͷൺֱ
ߴԻ࣭ԽˠখܕԽʹಛԽͨͨ͠ΊҬ )[ҎԼ
ͷग़ྗ͕ෆे
৽ܕԁܗεϐʔΧγεςϜ݄த०༧ఆ
$PODMVTJPOBOEGVUVSFXPSL
֎෦ࢿۚ
ຊݚڀͷҰ෦+414Պݚඅ+1,ɼ+45"45&1τϥΠΞτ+1.+5.%͓Α
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ԻϚϧνεϙοτ࠶ੜٕज़ͷࣾձల։/*$5Πϊ
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͋Δాܒଠࢯ!ϑϥϯεɼ
ਢ౻ඒ༏رࢯ!খۚҪຊ෦ɼ܂ݪສබࢯˏԣਢլ ໊ڞ/*$5૯߹৬
ʹײँͷҙΛද͢Δ
ˠԬຊ ݚڀ୲
ˏ͚͍Μͳਓڌ
"DLOPXMFEHFNFOUT
Thank you for your !!
Ԭຊຏ (Takuma OKAMOTO)ˏNICT
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