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*OUSPEVDUJPOPGNZTFMG .VMUJQMFTPVOETQPUTZOUIFTJTUFDIOPMPHZ .VMUJMJOHVBMOFVSBMTQFFDITZOUIFTJTUFDIOPMPHZ *NQMFNFOUBUJPOTPGNVMUJQMFTPVOETQPUTZOUIFTJTTZTUFNT "OOPVODFNFOUT $PODMVTJPOT "DLOPXMFEHFNFOUT %FNPXJUIJNQMFNFOUFETZTUFNT 0VUMJOF

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Ԭຊ୓ຏ ݚڀςʔϚɿ෺ཧɾ਺ཧϞσϧʹجͮ͘Ի৴߸ɾԻۭؒͷ૑ग़ Իڹ৴߸ॲཧɿಛʹԻ৔ऩ࿥ɾ੍ޚ ϚΠΫϩϗϯɾεϐʔΧΞϨΠ৴߸ॲཧ 
 ೥݄ʙ೥݄ɿ౦๺େֶઌ୺Ի৘ใγεςϜ म࢜ɾത࢜ɾϙευΫ 
 ೥݄ʙ೥݄ɿ/*$5௒ྟ৔ײϓϩδΣΫτˏ/*$5 
 ೥ʙݱࡏɿࣗ਎ͷՊݚඅʴЋ Ϛϧνεϙοτ࠶ੜ !/*$5 Ի੠ॲཧ 
 ೥݄ʙ೥݄ɿԻ੠ର࿩ɾݴޠࣝผ!/*$5 
 ೥݄ʙݱࡏɿχϡʔϥϧωοτϫʔΫΛ༻͍ͨԻ੠߹੒ɾԻ੠೾ܗੜ੒ˏ/*$5 *OUSPEVDUJPOPGNZTFMG ଍ͷΘΒ͡ݚڀੜ׆೥໨ ˣ ͍ͭʹͭͷ੒Ռ͕༥߹ ˞ԭೄ͸ࠓճͰճ໨ ˏ"436ɼˏ41&"4*1ɼˏࠓճ

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Ԭຊ୓ຏ ݚڀςʔϚɿ෺ཧɾ਺ཧϞσϧʹجͮ͘Ի৴߸ɾԻۭؒͷ૑ग़ Իڹ৴߸ॲཧɿಛʹԻ৔ऩ࿥ɾ੍ޚ ϚΠΫϩϗϯɾεϐʔΧΞϨΠ৴߸ॲཧ 
 ೥݄ʙ೥݄ɿ౦๺େֶઌ୺Ի৘ใγεςϜ म࢜ɾത࢜ɾϙευΫ 
 ೥݄ʙ೥݄ɿ/*$5௒ྟ৔ײϓϩδΣΫτˏ/*$5 
 ೥ʙݱࡏɿࣗ਎ͷՊݚඅʴЋ Ϛϧνεϙοτ࠶ੜ !/*$5 Ի੠ॲཧ 
 ೥݄ʙ೥݄ɿԻ੠ର࿩ɾݴޠࣝผ!/*$5 
 ೥݄ʙݱࡏɿχϡʔϥϧωοτϫʔΫΛ༻͍ͨԻ੠߹੒ɾԻ੠೾ܗੜ੒ˏ/*$5 *OUSPEVDUJPOPGNZTFMG ଍ͷΘΒ͡ݚڀੜ׆೥໨ ˣ ͍ͭʹͭͷ੒Ռ͕༥߹ ˞ԭೄ͸ࠓճͰճ໨ ˏ"436ɼˏ41&"4*1ɼˏࠓճ

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4QBUJBM'PVSJFSUSBOTGPSNCBTFETPVOE fi FMEDPOUSPM Ϛϧνεϙοτ࠶ੜɾۙ๣ΤϦΞ࠶ੜɾऩ࿥ Ի৔ऩ࿥ɾ࠶ੜ 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 *$"441 +"4" *$"441 +*).41 8"41"" +*).41 *8"&/$ 8"41"" *$"441 Quiet zone Listening zone rq rq rb r1 r2 ro ri *$"441 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) *$"441 (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 8"41"" "QQM4DJ A0 0 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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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 (b) Am n for n + |m| even 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 ˇ A0 2 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 AAACdnichVFNLwNBGH66vqq+iotEIqIpTvJWJBqniosjrdKkaHbHYNPt7mZ3W6lN/4A/4CAOJIj4GS7+gIOfII4kHBy83W4iCN7JzDzzzPu888yMZhu66xE9RJS29o7Ormh3rKe3r38gPji07lpVR8i8sAzLKWiqKw3dlHlP9wxZsB2pVjRDbmjlpeb+Rk06rm6Za17dllsVdc/Ud3WhekyV4oObYl+Ksr/YKPmzjW2fGqV4gmYoiPGfIBWCBMJYseJX2MQOLAhUUYGECY+xARUutyJSINjMbcFnzmGkB/sSDcRYW+UsyRkqs2Ue93hVDFmT182abqAWfIrB3WHlOJJ0T9f0THd0Q4/0/mstP6jR9FLnWWtppV0aOBrJvf6rqvDsYf9T9adnD7tIB1519m4HTPMWoqWvHR4/5xaySX+SzumJ/Z/RA93yDczai7hYldkTxPgDUt+f+ydYn51JMV6dS2TS4VdEMYoJTPN7zyODZawgz+ce4BSXuIq8KWNKUplqpSqRUDOML6HQB1tmkOk= ˇ A 2 2 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 ˇ A2 2 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 ˇ A 3 3 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 ˇ A 1 3 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౸དྷԻ৔ܕΞϯϏιχΫε ೾໘߹੒๏ɼεϖΫτϧআࢉ๏ DIٿܗϚΠΫϩϗϯΞϨΠˏ౦๺େ DIแғܕεϐʔΧΞϨΠˏ౦๺େ DIแғܕϚΠΫϩϗϯΞϨΠˏ౦๺େ DIٿܗεϐʔΧΞϨΠˏ/*$5 DIೋ௚ઢϚΠΫϩϗϯΞϨΠˏ/*$5 DIೋ௚ઢεϐʔΧΞϨΠˏ/*$5 ҰਓͰͷ࣋ͪӡͼ͸೉͍͠ ์ࣹԻ৔ܕΞϯϏιχΫε 1SFWJPVTMZJNQMFNFOUFETZTUFNT

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εϐʔΧΞϨΠΛ༻͍ͨہॴ࠶ੜɾϚϧνεϙοτ࠶ੜɾϚϧνԻ৔੍ޚ ہॴ࠶ੜɿԻѹͷΈΛ੍ޚ ͋ΔྖҬʹͷΈ͋ΔಛఆͷԻ͕ฉ͑͜ 
 ଞͷ৔ॴͰ͸ฉ͑͜ͳ͍ Ϛϧνεϙοτ࠶ੜɿԻѹͷΈΛ੍ޚɼ B ͷॏͶ߹Θͤ ͦΕͧΕͷྖҬʹͦΕͧΕผͷԻ͕ฉ͑͜Δ ϚϧνԻ৔੍ޚɿԻѹ͚ͩͰͳ͘೾໘ͦͷ΋ͷΛ੍ޚ ͦΕͧΕͷྖҬͰผʑͷԻ৔Λಉ࣌ʹ࠶ݱ .VMUJQMFTPVOETQPUTZOUIFTJTUFDIOPMPHZ Bright zone (Listening area) (null) (null) (null) (null) Dark zone (Quiet area) (null) (null) (null) (null) B ہॴ࠶ੜ ͜Μʹͪ͸ )FMMP 㟬޷ Japanese area (null) (null) (null) (null) English area (null) (null) (null) (null) Chinese area (null) (null) (null) (null) C Ϛϧνεϙοτ࠶ੜ D ϚϧνԻ৔੍ޚ ແԻ ಧ͚͍ͨਓ͚ͩʹඞཁͳԻΛಧ͚Δٕज़ ೗ԿʹʮԻ͕ฉ͑͜ͳ͍ྖҬʯΛܗ੒͢Δ͔

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ϔουηοτ ϝϦοτɿଞ΁ͷԻ࿙Ε͕ͳ͍ɼԻ࣭͕Α͍ σϝϦοτɿਓ਺෼Λ༻ҙ͢Δඞཁ͕͋Δɼ઀৮ܕͰ͋ΔͨΊײછରࡦతʹݒ೦͋Γ ௒Ի೾εϐʔΧ ϝϦοτɿݸਓ͝ͱͷσόΠεෆཁɼӶ͍ࢦ޲ੑɼඇ઀৮ σϝϦοτɿԻ࣭͕՝୊ɼ௒Ի೾ྖҬͰ͸E#Ҏ্ͷԻѹϨϕϧ ݈߁ඃ֐΁ͷݒ೦ εϐʔΧΞϨΠΛ༻͍ͨہॴ࠶ੜɾϚϧνεϙοτ࠶ੜ ϝϦοτɿݸਓ͝ͱͷσόΠεෆཁɼӶ͍ࢦ޲ੑɼඇ઀৮ɼ݈߁ඃ֐ͳ͠ɼԻ࣭͕Α͍ ݚڀ՝୊ɿ੍ޚਫ਼౓޲্ɼখܕԽɼ࣮༻Խ $PNQBSJTPOXJUIPUIFSNFUIPET ϔουηοτ΍௒Ի೾εϐʔΧʹมΘΔ ৽ͨͳԻ੠ఏٕࣔज़

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ैདྷٕज़ FH+$IPJFUBM +"DPVTU4PD"N ଟ఺੍ޚʹجͮ͘ํࣜɿ֤εϐʔΧͱ੍ޚ఺ؒͷ఻ୡؔ਺ͷٯߦྻԋࢉʹجͮ͘ ՝୊ ֤εϐʔΧͱ੍ޚ఺ؒͷڑ཭৘ใ͔͠ߟྀ͍ͯ͠ͳ͍ˠҐஔؔ܎Λཅʹߟྀ͍ͯ͠ͳ͍ ٯߦྻԋࢉ͸ඇৗʹෆ҆఺ˠਖ਼ଇԽ͕ඞཁ -PDBMJ[FETPVOE[POFNFUIPET Bright zone (Listening area) (null) (null) (null) (null) Dark zone (Quiet area) (null) (null) (null) (null) . . . . . . . . . . . . G(!) P (!) 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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)

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ݪཧ Իͷฉ͑͜ΔྖҬͷԻѹΛɼฉ͑͜ͳ͍ྖҬͷԻѹΛˠۣܗ૭ͱͯ͠࿈ଓతʹϞσϧԽ ۣܗ૭ͷۭؒϑʔϦΤม׵4JODؔ਺ͱͯ͠ղੳతʹಋग़Մೳ ௚ઢ΍ԁܗͷεϐʔΧΞϨΠ৔߹͸఻ୡಛੑͷۭؒϑʔϦΤม׵΋ղੳతʹಋग़Մೳ ಛੑ ೾ಈํఔ͔ࣜΒಋग़͞ΕΔۭؒϑʔϦΤม׵ʹΑΓ෺ཧతͳҐஔؔ܎Λߟྀ ҆ఆͳΤόωοηϯτ੒෼Λআڈͨ͠ۦಈ৴߸҆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+"DDPTU"N 50LBNPUP8"41""

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࣮૷ͨ͠νϟωϧ௚ઢΞϨΠΛ༻͍ͨํࣜ ै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+"DDPTU"N

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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 ଟ఺੍ޚ -4 ϏʔϜϑΥʔϛϯά ఏҊ๏ )[ͷ݁Ռ 4JNVMBUJPOSFTVMUTPGDJSDVMBSBSSBZ 50LBNPUP8"41""

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νϟωϧ௚ઢεϐʔΧΞϨΠΛ༻͍ͨ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 ΤϦΞ ॏͶ߹Θͤ N ࣮༻ԽͷͨΊʹ͸খܕԽ͕ඞਢ ֶձձ৔ͰεϐʔΧΞϨΠͷσϞ͕͍ͨ͠Ի৔੍ޚΛීٴ͍ͨ͠ 50LBNPUP*$"441

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Ԭຊ୓ຏ ݚڀςʔϚɿ෺ཧɾ਺ཧϞσϧʹجͮ͘Ի৴߸ɾԻۭؒͷ૑ग़ Իڹ৴߸ॲཧɿಛʹԻ৔ऩ࿥ɾ੍ޚ ϚΠΫϩϗϯɾεϐʔΧΞϨΠ৴߸ॲཧ 
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/*$5͕ఏڙ͢ΔԻ੠຋༁ΞϓϦ7PJDF5SBΛྫʹ ࣗಈԻ੠ೝࣝ ສਓͷԻ੠ΛςΩετ΁ม׵ ػց຋༁ ೖྗ͞ΕͨςΩετΛผͷݴޠ΁ม׵ ςΩετԻ੠߹੒ ೖྗ͞ΕͨςΩετΛԻ੠৴߸΁ม׵ 4QFFDIUSBOTMBUJPOUFDIOPMPHZ ˞ίϯχϟΫҎ֎͸ ɹࣗ෼Ͱඳ͖·ͨ͠ /*$5Ͱͷ ࢲͷຊ຿

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 or 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 RNN layers 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 Sampling AAACd3ichVHLSgMxFD0dX7U+WnUjuLBYlK5KRkTFVUEXrkp9VAWVMjONGprODDNpsRZ/wB9wIQgKouJnuPEHXPgJ4lJBBBfeTgdERb0hycnJPTcnielK4SvGHiJaW3tHZ1e0O9bT29cfTwwMrvlO1bN4wXKk422Yhs+lsHlBCSX5hutxo2JKvm6W55v76zXu+cKxV1Xd5dsVY9cWO8IyFFHFxOCCkIbipeR8LpeURp1Si4kUy7Agkj+BHoIUwsg7iUtsoQQHFqqogMOGIixhwKe2CR0MLnHbaBDnERLBPschYqStUhanDIPYMo27tNoMWZvWzZp+oLboFEndI2US4+yeXbNndsdu2CN7/7VWI6jR9FKn2WxpuVuMHw2vvP6rqtCssPep+tOzwg5mA6+CvLsB07yF1dLXDo6fV+aWxxsT7Jw9kf8z9sBu6QZ27cW6WOLLJ4jRB+jfn/snWJvM6NOZqaXJVHYq/IooRjCGNL33DLJYRB4FOncfp7jEVeRNG9UmtHQrVYuEmiF8CU3/AAmwkLo= 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) 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 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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 . . . AAACaXichVG7SgNBFD1Z3/EVtQnaiEGxChMJKlYBG0ujJhGSEHbXSRyz2V12Jwsx+ANWdqJWCiLiZ9j4AxZ+gqRUsLHw7mZBVNQ7zMyZM/fcOTOj2YZwJWNPEaWnt69/YHAoOjwyOjYem5jMu1bT0XlOtwzL2dVUlxvC5DkppMF3bYerDc3gBa2+7u8XPO64wjJ3ZMvm5YZaM0VV6KokKl/y9izpVmIJlmRBzP4EqRAkEMamFbtBCXuwoKOJBjhMSMIGVLjUikiBwSaujDZxDiER7HMcIUraJmVxylCJrdNYo1UxZE1a+zXdQK3TKQZ1h5SzmGeP7Ja9sAd2x57Z+6+12kEN30uLZq2r5XZl/Di+/favqkGzxP6n6k/PElWsBl4FebcDxr+F3tV7h6cv22tb8+0FdsU65P+SPbF7uoHpverXWb51gSh9QOr7c/8E+aVkajmZzqYTmXT4FYOYwRwW6b1XkMEGNpGjcw9wgjOcRzrKhBJXprupSiTUTOFLKIkP3mWMOQ== . . . 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 Di↵usion probabilistic models 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 Conditioning 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 Original waveform x0 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 Gaussian noise ✏ 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 p ¯ ↵x0 + p 1 ¯ ↵✏ 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 Noise level p ¯ ↵ 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 Gaussian noise ✏ AAACbnichVHLSsNAFD2N7/poVRBBxGJRXJVpERVXghvd+eoDailJHOvQdBKSaUGLP+BeXAiKgoj4GW78ARd+grgRFNy48DYNiBb1hsmcOXPPnTN3DMcSnmLsMaS1tXd0dnX3hHv7+gci0cGhjGdXXZOnTduy3Zyhe9wSkqeVUBbPOS7XK4bFs0Z5ubGfrXHXE7bcUvsOL1T0khS7wtQVUflVGVOuLqSQpWI0zhLMj1grSAYgjiDW7Og1trEDGyaqqIBDQhG2oMOjL48kGBziCqgT5xIS/j7HIcKkrVIWpwyd2DL9S7TKB6ykdaOm56tNOsWi4ZIyhin2wG7YK7tnt+yJffxaq+7XaHjZp9loarlTjByNbr7/q6rQrLD3pfrTs8IuFnyvgrw7PtO4hdnU1w5OXjcXN6bq0+ySPZP/C/bI7ugGsvZmXq3zjVOE6QGSP9vdCjKpRHIuMbueii/NBk/RjTFMYob6PY8lrGANab9jxzjDeehFG9HGtYlmqhYKNMP4FtrMJ/SojhA= In training AAACb3ichVHLSgMxFD0dX7W+qi4UBCkWRTclLUXFVcGN7vqwD6giM2OqodPMMDMt1OIP+AG6cOEDRMTPcOMPuPATxJUouHHh7XRAVNQbkpyc3HNzkmiWIRyXsYeA0tXd09sX7A8NDA4Nj4RHxwqOWbd1ntdNw7RLmupwQ0ied4Vr8JJlc7WmGbyoVVfb+8UGtx1hyg23afGtmrorRUXoqkvU5rqMCFnhNpc63w5HWYx5EfkJ4j6Iwo+0Gb7CJnZgQkcdNXBIuIQNqHColREHg0XcFlrE2YSEt89xgBBp65TFKUMltkrjLq3KPitp3a7peGqdTjGo26SMYJbds2v2wu7YDXtk77/Wank12l6aNGsdLbe2Rw4nc2//qmo0u9j7VP3p2UUFy55XQd4tj2nfQu/oG/vHL7mV7Gxrjl2wJ/J/zh7YLd1ANl71ywzPniBEHxD//tw/QSERiy/GkplENJX0vyKIKcxgnt57CSmsIY08nWvhCKc4CzwrE8q0EumkKgFfM44voSx8AMP0jm0= In inference 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 In training AAAChHichVHLShxBFD22iZoxOqNuAi7SOBhcSFPjGxfB4MKsZHyMIxgZqtvrWFjT3XTXDOiQZTb5gSyyihCCuI1f4MYfcOEniEsFNy5yp6chRDHeoqpOnbrn1qkqN9QqNkJcdlidL152dfe8yvS+7uvP5gYGN+KgHnlU8gIdRJuujEkrn0pGGU2bYUSy5moqu/uLrf1yg6JYBf66OQhpuyarvtpVnjRMVXJvyak69qKWkVomM24XZSS1Jm2XZYOWPixXcnnhiCTsx6CQgjzSKAa5X/iEHQTwUEcNBB+GsYZEzG0LBQiEzG2jyVzESCX7hM/IsLbOWcQZktl9Hqu82kpZn9etmnGi9vgUzT1ipY1RcSGOxY04FyfiStw/WauZ1Gh5OeDZbWsprGS/vlm7e1ZV49lg76/qv54NdjGXeFXsPUyY1i28tr5x+O1mbX51tPlOHIlr9v9DXIozvoHfuPV+rtDqd2T4AwoPn/sx2JhwCjPO1MpEfmEq/YoeDGMEY/zes1jARxRR4nO/4AS/cWp1WePWpDXdTrU6Us0Q/gnr/R8cA5Qz 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 AAACiHichVFNSxxBEH1OotGNH5t4CXgZXBRPS62IJp5ELzmumlVBRXrG2nWw54Oe2RGz5AeYP5BDTgkECTl41bMX/0AO/oTgUcFLDtbODoiKWsN0v35Vr/p1txNpL06IzrusFy+7e1719hVe9w8MDhXfvF2Jw6ZxueaGOjRrjopZewHXEi/RvBYZVr6jedXZXWjnV1M2sRcGn5L9iDd91Qi8uueqRKitYqmqjNKatb2nUq6HxrcbHLCRdMq2H26zjqWKypSF/RBUclBCHtWweIgNbCOEiyZ8MAIkgjUUYvnWUQEhEm4TLeGMIC/LM76gINqmVLFUKGF3ZWzIaj1nA1m3e8aZ2pVdtPxGlDbG6C/9pks6oz/0j/4/2quV9Wh72ZfZ6Wg52hr6+m75+lmVL3OCnVvVk54T1PE+8+qJ9yhj2qdwO/r087fL5dmlsdY4/aQL8f+DzulUThCkV+6vRV76joI8QOX+dT8EK5PlynR5anGyNDeVP0UvRjCKCbnvGczhI6qoyb4HOMIxTqyCRdaM9aFTanXlmmHcCWv+Bo1tl6E= Parallel waveform generative models AAACdHichVG7TgJBFD2sL8QHqI2JFkSCsSIDIWqsSGwsecgjQUJ21wE37Cu7CwaJP+APWFBpJMb4GTb+gAWfYCwx2lh4WTYxStS7mZ0zZ+65c2auZKqK7TDW9wkTk1PTM/7ZwNz8wmIwtLRcsI2mJfO8bKiGVZJEm6uKzvOO4qi8ZFpc1CSVF6XG/nC/2OKWrRj6odM2eUUT67pSU2TRIaoaCuZMzuWT8KnY4jXD0qqhCIsxN8LjIO6BCLxIG6FbHOEYBmQ0oYFDh0NYhQibvjLiYDCJq6BDnEVIcfc5zhEgbZOyOGWIxDboX6dV2WN1Wg9r2q5aplNUGhYpw4iyJ3bHBuyR3bNn9vFrrY5bY+ilTbM00nKzGrxYzb3/q9JodnDypfrTs4Madl2vCnk3XWZ4C3mkb51dDnJ72Whnk12zF/J/xfrsgW6gt17lXoZnuwhQA+I/n3scFBKx+HYsmUlEUkmvFX6sYQNb9N47SOEAaeTdnnRxg57vTVgXIkJ0lCr4PM0KvoUQ+wR9o5AV Speech waveform AAACdHichVG7TgJBFD2sL8QHqI2JFkSCsSIDIWqsSGwsecgjQUJ21wE37Cu7CwaJP+APWFBpJMb4GTb+gAWfYCwx2lh4WTYxStS7mZ0zZ+65c2auZKqK7TDW9wkTk1PTM/7ZwNz8wmIwtLRcsI2mJfO8bKiGVZJEm6uKzvOO4qi8ZFpc1CSVF6XG/nC/2OKWrRj6odM2eUUT67pSU2TRIaoaCuZMzuWT8KnY4jXD0qqhCIsxN8LjIO6BCLxIG6FbHOEYBmQ0oYFDh0NYhQibvjLiYDCJq6BDnEVIcfc5zhEgbZOyOGWIxDboX6dV2WN1Wg9r2q5aplNUGhYpw4iyJ3bHBuyR3bNn9vFrrY5bY+ilTbM00nKzGrxYzb3/q9JodnDypfrTs4Madl2vCnk3XWZ4C3mkb51dDnJ72Whnk12zF/J/xfrsgW6gt17lXoZnuwhQA+I/n3scFBKx+HYsmUlEUkmvFX6sYQNb9N47SOEAaeTdnnRxg57vTVgXIkJ0lCr4PM0KvoUQ+wR9o5AV Speech waveform 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 Speech waveform "436 *$"441 4-5 4QFFDI$PNN *$"441 "436 *$"441 *OUFSTQFFDI IUUQTXXXKTUBHFKTUHPKQBSUJDMFKBTK@@QEGDIBSKB

Slide 17

Slide 17 text

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 Uniform 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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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 (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 AAACb3ichVHLSgMxFD0d3/VVdaEgSLFU2k1JRVQEoeLGZX1UhbaUmTGtwXkxkxa0+AN+gC5c+AAR8TPc+AMu/ARxJQpuXHg7HRAt6g1JTk7uuTlJNMcQnmTsMaS0tXd0dnX3hHv7+gcGI0PDm55ddXWe023Ddrc11eOGsHhOCmnwbcflqqkZfEvbW27sb9W46wnb2pD7Di+aasUSZaGrkqhCYnHJEBXL5JZMliIxlmJ+RFtBOgAxBJG1I9coYAc2dFRhgsOCJGxAhUctjzQYHOKKqBPnEhL+PschwqStUhanDJXYPRortMoHrEXrRk3PV+t0ikHdJWUUcfbAbtgru2e37Il9/Fqr7tdoeNmnWWtquVMaPBpbf/9XZdIssful+tOzRBnzvldB3h2fadxCb+prByev6wtr8foUu2TP5P+CPbI7uoFVe9OvVvnaKcL0Aemfz90KNqdT6dnUzOp0LDMTfEU3xjGJBL33HDJYQRY5OtfBMc5wHnpRRpUJJdpMVUKBZgTfQkl+Ag/tjhQ= (=Alignment) 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 Temporal resolution unit

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$16ܕߴ଎Ի੠߹੒Ϟσϧɿࡢ೥౓ݚमһਆށେদݪܓ྄͞Μ मྃ࣌ݚڀՊ௕৆ड৆ ϑϧόϯυ-1$/FUɿ*&&&"DDFTTɼ೔ຊԻڹֶձ೥ळقݚڀൃදձֶੜ༏लൃද৆ $16ܕϞσϧͷൺֱɿ"DPVTU4DJ5FDIYɼো֐ऀԻ੠ͷ໌ྎ౓վળɿ*$"441 )BSNPOJD/FUɿ*&&&"$.5SBOT"VEJP-BOH1SPDFTTࢽ ੠ͷߴ͞Λ੍ޚՄೳͳԻ੠߹੒Ϟσϧɿਆށେ.ਗ਼ਫ૱ଠ͞Μ جຊप೾਺ೖྗͳ͠Ϟσϧͷݕ౼ɿ೔ຊԻڹֶձ೥ळقݚڀൃදձˏ๺ւಓՊֶେֶɼ೔ຊԻڹֶձ೥य़ قݚڀൃදձɼԻֶγϯϙδ΢Ϝ ֶੜϙελʔ৆ ɼ೔ຊԻڹֶձ೥ळقݚڀൃදձˏ໊޻େ $16ܕߴ଎Ի੠߹੒Ϟσϧͷߴ଎Խɿਆށେ.ࢁԼཅੜ͞Μ '$)J'J("/ɿ೔ຊԻڹֶձ೥ळقݚڀൃදձˏ๺ւಓՊֶେֶ ֶੜ༏लൃද৆ ɼԻֶγϯϙδ΢Ϝ ֶੜϙελʔ৆ ੠࣭ม׵΁ͷదԠɿ೔ຊԻڹֶձ೥य़قݚڀൃදձɼ೔ຊԻڹֶձ೥ळقݚڀൃදձˏ໊޻େ Ի੠ೝࣝίʔύεΛ༻͍ͨෳ਺࿩ऀԻ੠߹੒ͷߴ඼࣭Խɿ࿨Վࢁେ.೔ాޫل͞Μ )J'J("/Λ༻͍ͨଳҬ֦ுͷݕ౼ɿ೔ຊԻڹֶձ೥ळقݚڀൃදձˏ๺ւಓՊֶେֶ ෳ਺࿩ऀԻ੠߹੒΁ͷదԠɿ೔ຊԻڹֶձ೥य़قݚڀൃදձɼԻֶγϯϙδ΢Ϝɼ೔ຊԻڹֶձ೥ ळقݚڀൃදձˏ໊޻େ 3FTVMUTPGJOUFSOTUVEFOUTJO/*$5

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5FYUUPTQFFDIEFNP!.BDCPPL"JS . &41OFU554Ͱֶशͤͨ͞Ϟσϧ αϯϓϦϯάप೾਺L)[ 3FBMUJNFGBDUPSˏ.BD#PPL"JS . $16ɿ.14ɿഒҎ্ͷߴ଎ԽΛୡ੒ 
 DVNTVN͸߹੒࣌Ұ୴$16΁ୀආͤ͞ɼੜ੒ثͷXFJHIU@OPSNΛ'BMTFʹΑΓରԠ

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$16ͷΈͰߴ଎ಈ࡞ՄೳͳଟݴޠχϡʔϥϧԻ੠߹੒Ϟσϧ 7PJDF5SBʹͯݱࡏݴޠެ։த ೔ຊޠɿ͜Μʹͪ͸ɼࠓ೔͸ԭೄͰট଴ߨԋͷൃදΛ͠·͢ɽ ӳޠɿ)FMMP *NHPJOHUPHJWFBOJOWJUFEMFDUVSFJO0LJOBXBUPEBZ தࠃޠɿ䓟޷ɼࠓఱࡏႌഷؿදᬐ౨ԋࢃɻ ؖࠃޠɿউ֞ೞࣁਃ য়ט਷য়ఃա৬ীࢲୡ؀ъোߊ಴ܳೡѢ৘ਃ ϑϥϯεޠɿ#POKPVS KFTVJTJOWJUÉÁEPOOFSVOFDPOGÉSFODFÁ0LJOBXBBVKPVSEIVJ εϖΠϯޠɿ#VFOBTUBSEFT IPZWPZBBOVODJBSMBDPOGFSFODJBJOWJUBEBFO0LJOBXB ϕτφϜޠɿ9JODIÁP IÔNOBZUÔJTⓁQIÂUCJểVCÁJEJễOUIVZếU㶟ượDNờJở0LJOBXB λΠޠɿส วั ส ดี ค รั บ วั น นี ้ ผมจะมาบรรยาย ที ่ โอ กิ นา ว่ าค รั บ ΠϯυωγΞޠɿ4FMBNBUTJBOH IBSJJOJTBZBBLBONFNQSFTFOUBTJLBOQJEBUPVOEBOHBOEJ0LJOBXB ϛϟϯϚʔޠɿမ င် ္ဂ လာပါ။ဒီေန ့ ကေတာ့အိုခီနာဝါမှာဖိ တ် ခေ ါ် တဲ့ လက်ချာ ပို ့ ချချက်ကိုထုတ်ေဖာ်ေြပာ ကြ ာ .VMUJMJOHVBMOFVSBM554EFWFMPQFECZ/*$5

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/*$5ϓϩϞʔγϣϯϏσΦʮ/ͷ͍Δະདྷʯ /"্നੴ๖Ի ΑΓൈਮ IUUQTXXXZPVUVCFDPNXBUDI W9%:0#' fi [* ՝୊ͷͭ ଟݴޠͷਓʑ͕ಉ࣌ʹձ͢Δ৔߹ෳ਺ͷ຋༁Ի੠Λಉ࣌࠶ੜࠞ͟Γ߹ͬͯฉ͖औΓਏ͍ ࠓத௕ظܭը ':ʙ': ͰऔΓ૊ΜͰ͍Δͷ͸ Ի੠ಉ࣌௨༁ٕज़ͷߴ඼࣭Խɾߴ଎ԽɾଟݴޠԽ 3FBMUJNFTQFFDIUSBOTMBUJPOUFDIOPMPHZ ˣ Ի੠Ϛϧνεϙοτ࠶ੜٕज़ͷग़൪ ˣ ଍ͷΘΒ͡ Ի৔੍ޚٕज़Ի੠߹੒ٕज़ ͕͍ͭʹ༥߹

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Ԭຊ୓ຏ ݚڀςʔϚɿ෺ཧɾ਺ཧϞσϧʹجͮ͘Ի৴߸ɾԻۭؒͷ૑ग़ Իڹ৴߸ॲཧɿಛʹԻ৔ऩ࿥ɾ੍ޚ ϚΠΫϩϗϯɾεϐʔΧΞϨΠ৴߸ॲཧ 
 ೥݄ʙ೥݄ɿ౦๺େֶઌ୺Ի৘ใγεςϜ म࢜ɾത࢜ɾϙευΫ 
 ೥݄ʙ೥݄ɿ/*$5௒ྟ৔ײϓϩδΣΫτˏ/*$5 
 ೥ʙݱࡏɿࣗ਎ͷՊݚඅʴЋ Ϛϧνεϙοτ࠶ੜ !/*$5 Ի੠ॲཧ 
 ೥݄ʙ೥݄ɿԻ੠ର࿩ɾݴޠࣝผ!/*$5 
 ೥݄ʙݱࡏɿχϡʔϥϧωοτϫʔΫΛ༻͍ͨԻ੠߹੒ɾԻ੠೾ܗੜ੒ˏ/*$5 *OUSPEVDUJPOPGNZTFMG ଍ͷΘΒ͡ݚڀੜ׆೥໨ ˣ ͍ͭʹͭͷ੒Ռ͕༥߹ ˞ԭೄ͸ࠓճͰճ໨ ˏ"436ɼˏ41&"4*1ɼˏࠓճ

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νϟωϧখܕԁܗεϐʔΧΞϨΠͷࢼ࡞ɿԬຊΒɼԻߨ࿦ ळ Ͱ͖Δ͚ͩখ͘͞ˠ௚ܘΘ͔ͣDN DIΞϯϓ 3.&%JHJGBDF64#ಉࠝ ɾέʔϒϧΛؚΊͯग़ுσϞՄೳ λϒϨοτͰϚϧνεϙοτ Ի৔ ΛճసՄೳɿԬຊΒɼԻߨ࿦ɼ೥݄ *NQMFNFOUBUJPOPGBDPNQBDUBSSBZ 13.44 cm 2.5 cm 3.1 cm 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 13.44 cm DIΞϯϓ 3.&%JHJGBDF64#ಉࠝ

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DIখܕԁܗΞϨΠΛ༻͍ͨݴޠԻ੠Ϛϧνεϙοτ࠶ੜγεςϜ ຋༁͞Ε֤ͨݴޠͷԻ੠͕ͦΕͧΕҧͬͨ৔ॴͰฉ͑͜ΔԻ੠຋༁ͷ৽ͨͳ6*ͱ࣮ͯ͠૷ *NQMFNFOUBUJPOPGEFNPTZTUFN )FMMP χϡʔϥϧݴޠࣝผ χϡʔϥϧԻ੠ೝࣝ χϡʔϥϧ ػց຋༁ Ϛϧνεϙοτ ࠶ੜϑΟϧλ ଟݴޠ χϡʔϥϧ Ի੠߹੒ )FMMP ͜Μʹͪ͸ 㟬޷ উ֞ೞࣁਃ B DIԁܗεϐʔΧ C ݴޠσϞγεςϜ ೔ຊޠ ӳޠ தࠃޠ ؖࠃޠ DI εϐʔΧ DN ͭͷ੒Ռ͕༥߹

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࣍ݩϞʔυ੍ޚʹجͮ͘ہॴ࠶ੜ Ի͕ฉ͑͜ΔΤϦΞͷԻѹΛɼฉ͑͜ͳ͍ΤϦΞͷԻѹΛ ແݶԁ౵όοϑϧܕԁܗΞϨΠɿۦಈ৴߸Λղੳతʹࢉग़Մೳ 
 ɹɹɹɹɹɹɹɹɹɹɹɹɹɹɹ50LBNPUP 8"41"" ࠓճͷ࣮૷ɿ༗ݶԁ౵όοϑϧ֤εϐʔΧͷݸମࠩ ఻ୡؔ਺ɹɹɹɹɹΛଌఆ ۦಈ৴߸ɿ ہॴ࠶ੜϑΟϧλɿ %FSJWJOHESJWJOHTJHOBMTPGMPVETQFBLFST 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 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 cn,l(rref ) = 1 2⇡ Z 2⇡ 0 Hl(rref , )e jn d ' 1 M M X m=1 Hl(rref , m)e jn m 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 Hl(rref , m) 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 ˆ d = C(r ref )HC(r ref ) + I 1 C(r ref )Ha(r ref ) 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 C(rref ) = 2 6 4 c N,1(rref ) · · · c N,L(rref ) . . . ... . . . cN,1(rref ) . . . cN,L(rref ) 3 7 5 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 an,rect( , S) = sinc ✓ n 2⇡ ◆ e jn s AAADQHichVHNahRBEK4Z/+L6k1UvgpfBJbLBZOkJIYogRL143GTdJJCOQ0/bu9Nmpmcy07sQh34BX8CDJwUR8S304gt4CL6A4kEkgiAerPlRiSGxhp6q+qq+6q+7/SSUmSZkx7KPHD12/MTEycap02fOTjbPnV/J4lHKRZ/HYZyu+SwToVSir6UOxVqSChb5oVj1N+8U9dWxSDMZq3t6OxEbERsqOZCcaYS85gfm5WqGRkwHaZQHTClj2rQbyBmaBNLLf1d6xkw3HOcmDcVA0z9wJhU3Jdamg5Tx3DX5nHGuOlWmikmI0EQamsphoKeL2uHk2YPJlaOmaqjrRtzPZx+qvXozY4zXbJEOKc3ZH7h10ILaunHzJVB4ADFwGEEEAhRojENgkOG3Di4QSBDbgByxFCNZ1gUYaCB3hF0COxiim/gfYrZeowrzYmZWsjnuEuJKkenAFHlPXpFd8o68Jp/IzwNn5eWMQss2er/iisSbfHyx9/2/rAi9huAv61DNGgZwvdQqUXtSIsUpeMUfP3qy27uxPJVfIc/JZ9T/jOyQt3gCNf7GXyyJ5afQwAdw/73u/cHKXMdd6MwvzbcWb9dPMQGX4DK08b6vwSLchS70gVu3rKGVWFv2G/uj/cX+WrXaVs25AHvM/vELczrhjQ== an,hann( , S) = ⇢ sinc ✓ 1 2 + n 2⇡ ◆ + sinc ✓ 1 2 n 2⇡ ◆ 2 e jn s ۣܗ૭ )BOO૭

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ΠϯύϧεԠ౴ͷଌఆ εϐʔΧ਺ɿ ੍ޚ఺਺ɿɹɹɹɹ ›ִؒ ج४ڑ཭ɿ αϯϓϦϯάप೾਺ɿL)[ ଌఆ৴߸ɿٯ࣌ؒҾ͖৳͹͠ύϧε 541 ৴߸αϯϓϧɼճಉظՃࢉ ఻ୡؔ਺ɾہॴ࠶ੜϑΟϧλͷࢉग़ ఻ୡؔ਺ 541৴߸৞ΈࠐΈˠΠϯύϧεԠ౴ˠαϯϓϧ੾Γग़͠ˠ཭ࢄϑʔϦΤม׵ 
 ˠෳૉεϖΫτϧ Ϗϯ ɿ ہॴ࠶ੜϑΟϧλɿ ۦಈ৴߸ɿɹˠ཭ࢄٯϑʔϦΤม׵ˠ࣮෦੒෼ˠ'*3ϑΟϧλ αϯϓϧ &YQFSJNFOUT 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 Hl(rref , m) 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 ˆ d 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 L = 16 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 M = 72 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 rref = 0.5 m 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 16 ⇥ 72 = 1152 ݸͷ఻ୡؔ਺Λଌఆ

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3FTVMUT (a) 750 Hz (b) 1.5 kHz (c) 3 kHz (d) 4.5 kHz (e) 6 kHz (f) 7.5 kHz

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εʔπέʔεͭΛԭೄ΁ࣄલૹ෇ ˣ ϗςϧʹด͡ࠐΊΒΕΔ %FNPˏ0LJOBXB .BS ਆށେݚमੜਗ਼ਫ͞ΜࢁԼ͞Μ͝ڠྗʹΑΓ ແࣄձ৔΁౸ண

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νϟωϧখܕԁܗεϐʔΧΞϨΠ ୯७࠶ੜ Ϛϧνεϙοτ࠶ੜ ݴޠ ೔ӳ ͓Αͼݴޠ ೔ӳதؖ χϡʔϥϧ554 छྨͷԻָ νϟωϧ௚ઢεϐʔΧΞϨΠ Ϛϧνεϙοτ࠶ੜ ݴޠ ೔ӳ χϡʔϥϧ554 %FNPˏ0LJOBXB .BS

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ৗઃలࣔˏ/*$5খۚҪຊ෦޿ใ෦లࣔࣨ ฏ೔ɼIUUQTXXXOJDUHPKQQVCMJDJUZIRFYIJCJUJPOSPPNIUNM 1FSNBOFOUEFNPTZTUFN!/*$5,PHBOFJ

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%FNPˏ((VONB "QS

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*$"441ˏϩʔυεౡ ΪϦγϟ ͷ4IPX5FMM%FNPηογϣϯ ʹ࠾୒ 50LBNPUP ,6FOP 50LBCF ,5BOJ ::PTIJLBUB .4VEP .,VXBIBSB 
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σϞػࡐػ಺࣋ͪࠐΈʹͯϩʔυεౡ΁ υΞUPυΞͰ࣌ؒ ҏ୮ˠӋాˠΠελϯϒʔϧˠΞςωˠϩʔυεౡ ,FJIBOOBUP3IPEFT

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ࢀՃऀਓҎ্ %FNPˏ*$"441 3IPEFT (SFFDF

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%FNPˏ*$"441 3IPEFT (SFFDF ձ৔ϗςϧ 30%041"-"$&

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+45"45&1τϥΠΞ΢τʹͯ։ൃͨ͠৽ܕεϐʔΧɿ݄຤׬੒ %FWFMPQNFOUPGOFXMPVETQFBLFSBSSBZ ௚ܘ DN ैདྷܕ ɾখ͍͞ ɾ௿Ҭ )[ҎԼ ͕ग़ͳ͍ˠԻ࣭͕՝୊ ɾԻྔ͕খ͍͞ˠలࣔձ৔౳ͰͷσϞ͕Ͱ͖ͳ͍ ৽ܕ ɾएׯେ͖͍ ɾ௿Ҭ )[Ҏ্ ͕ग़ΔˠߴԻ࣭Խ ɾେԻྔԽˠలࣔձ৔౳ͰͷσϞରԠՄ ௚ܘ DN

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/*$5PQFOIPVTF +VOF Ի੠຋༁ಉ࣌௨༁ͱԻ੠Ϛϧνεϙοτ࠶ੜγεςϜͷ༥߹Λలࣔ 概要 AI AI 円形のマルチスポットスピーカーの周りに⾔語が異なる4名のデモンスト レータが座り、それぞれの⾔語で会議を⾏います。発⾔内容は他の3⾔語に 同時通訳されて同時にスピーカーから出⼒されますが、各⾔語の⾳声が混ざ り合うこと無くエリア毎に1つの⾔語が聞こえます。 ・連続発話を同時通訳することができます ・多⾔語(20⾔語)に対応しています ・各エリア毎に1つの⾔語が聞こえるので、 イヤホンを付けずに多⾔語会議ができます ・講演の多⾔語同時通訳 ・多⾔語会議やビジネス分野での利⽤ ・博物館や美術館での⾔語別ガイダンス ・TV放送や動画への翻訳字幕付与 同時通訳システムの実現を⽬指し、今後以下の研究開 発を進めます。 ・⽂脈処理による⾼精度化 ・要約処理によるリアルタイム性の向上 ・⾳声マルチスポット再⽣の⾼精度化および成果展開 02 特徴 ユースケース 今後の展開 円形マルチスポットスピーカー ⾳声認識 ⾳声合成 マルチスポット スピーカー こんにちは 你好 안녕하세요 マルチスポット処理の有無による違い (上からみた4つの⾳の出⼒イメージ) <システム構成の概要> ⽔平⽅向に90度毎に別々の4種類の⾳ を出すことができます。その際に隣の ⾳を打ち消すことで⾳が混ざらずに各 ⾳をそれぞれの領域でクリアに再⽣す ることができます。 翻訳単位 判定 ⾳声合成 ⾳声合成 ※⽇本語が⼊⼒された場合に稼働するモジュールとデータの流れを表しています。 Hello 多⾔語会議システムのデモンストレーション 〜多⾔語同時通訳技術とマルチスポットスピーカーの活⽤例〜 スピーカー ない時 ある時 総務省「グローバルコミュニケーション計画2025 」より スピーカー 機械翻訳 機械翻訳 機械翻訳

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ஞ࣍Ի੠ೝࣝɾػց຋༁ɾԻ੠߹੒ٕज़ ৘ใ௨৴ݚڀػߏݚڀใࠂɼϢχόʔαϧίϛϡχέʔγϣϯٕज़ಛू IUUQTXXXOJDUHPKQQVCMJDBUJPOTIVQQBOLJIPVKPVSOBMIPVLPLV@)5.- ԬຊɼχϡʔϥϧԻ੠߹੒ٕज़ ϦΞϧλΠϜϚϧνεϙοτ࠶ੜϑΟϧλϦϯά ୹࣌ؒϑʔϦΤม׵ͱΦʔόʔϥοϓʹجͮ͘ํࣜʹΑΓ࣮ݱ 'PSSFBMJ[JOHSFBMUJNFEFNP

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3FBMUJNF fi MUFSJOHXJUI1VSF%BUB ୹࣌ؒϑʔϦΤม׵Λ༻͍ͨ ৞ΈࠐΈԋࢉ ϙΠϯτɿ൒෼٧Ί ৄ͘͠͸ɿIUUQTXXXKTUBHFKTUHPKQBSUJDMFKBTK@,+@QEG ֤εϐʔΧͷϑΟϧλΛXBWϑΝΠϧͱͯ͠ಡΈࠐΈ

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ಉ࣌௨༁γεςϜԻ੠Ϛϧνεϙοτ࠶ੜ &YQMBOBUJPOPGEFNPTZTUFN ӳޠ࿩ऀ͕ൃ࿩ ӳޠ࿩ऀ தࠃޠ࿩ऀ ༻͍ͨΤϦΞ࠶ੜ ϚϧνεϙοτεϐʔΧ )FMMP ஞ࣍Ի੠ೝࣝ ˣ ஞ࣍ػց຋༁ ˣ ஞ࣍Ի੠߹੒ ఏҊ๏Λ༻͍ͨΤϦΞ࠶ੜ $POpEFOUJBM ؖࠃޠ࿩ऀ ϚϧνεϙοτεϐʔΧͰ ֤ݴޠͷ຋༁߹੒Ի੠͕ ֤ݴޠͷ࿩ऀͷΈʹϚϧνεϙοτ࠶ੜ͞ΕΔ উ֞ೞࣁਃ 㟬޷ ͜Μʹͪ͸ ؖࠃޠͷΈ͕ฉ͑͜Δ ΤϦΞ தࠃޠͷΈ͕ฉ͑͜Δ ΤϦΞ ೔ຊޠͷΈ͕ ฉ͑͜Δ ΤϦΞ ೔ຊޠ࿩ऀ

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ಉ࣌௨༁γεςϜԻ੠Ϛϧνεϙοτ࠶ੜ &YQMBOBUJPOPGEFNPTZTUFN ೔ຊ࿩ऀ͕ൃ࿩ ӳޠ࿩ऀ தࠃޠ࿩ऀ ༻͍ͨΤϦΞ࠶ੜ ஞ࣍Ի੠ೝࣝ ˣ ஞ࣍ػց຋༁ ˣ ஞ࣍Ի੠߹੒ ఏҊ๏Λ༻͍ͨΤϦΞ࠶ੜ $POpEFOUJBM ؖࠃޠ࿩ऀ ϚϧνεϙοτεϐʔΧͰ ֤ݴޠͷ຋༁߹੒Ի੠͕ ֤ݴޠͷ࿩ऀͷΈʹϚϧνεϙοτ࠶ੜ͞ΕΔ উ֞ೞࣁਃ 㟬޷ ؖࠃޠͷΈ͕ฉ͑͜Δ ΤϦΞ தࠃޠͷΈ͕ฉ͑͜Δ ΤϦΞ ӳޠͷΈ͕ ฉ͑͜Δ ΤϦΞ ͜Μʹͪ͸ ೔ຊޠ࿩ऀ )FMMP

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࣮૷͔ͨ͠Βͦ͜ɾɾɾ Έͳ͞·ʹฉ͍ͯ΋Β͑·ͨ͠·ͨԭೄʹ΋དྷΕ·ͨ͠ ࣮૷JTϗϯϚʹBMMXFOFFE 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 13.44 cm 5BLFIPNFNFTTBHF

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Ի੠Ϛϧνεϙοτ࠶ੜ Ի৔੍ޚ ٕज़ͱଟݴޠಉ࣌௨༁γεςϜͷ༥߹ νϟωϧখܕԁܗεϐʔΧΞϨΠΛ༻͍ͨϚϧνεϙοτ࠶ੜγεςϜͷ࣮૷ 
 ˠεϐʔΧΞϨΠͷσϞֶ͕ձձ৔ͰͰ͖ΔΑ͏ʹͳͬͨ ଟݴޠಉ࣌௨༁γεςϜͱ݁߹ͨ͠ݴޠԻ੠ϚϧνεϙοτγεςϜͱ࣮ͯ͠૷ 
 ˠ຋༁͞Ε֤ͨݴޠͷԻ੠͕ͦΕͧΕҧͬͨ৔ॴͰฉ͑͜ΔԻ੠຋༁ͷ৽ͨͳ6*ΛఏҊ ࣮૷JTϗϯϚʹBMMXFOFFE $PODMVTJPOT

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ࠃ಺ݚڀձ ೥݄೔ʙ೔ɿ೔ຊԻڹֶձ೥ळقݚڀൃදձˏ໊ݹ԰޻ۀେֶ ओஶ݅ Ի੠߹੒ίʔύεެ։ɼ৽ܕΞϨΠʹΑΔϚϧνεϙοτ࠶ੜσϞ ɼڞஶ݅ σϞలࣔ ͚͍͸Μͳ3%ϑΣΞˏ͚͍͸Μͳϓϥβ ϋγΰ ࠃࡍձٞ ೥݄೔ɿ*OUFSOPJTFট଴ߨԋˏນுϝοη 50LBNPUP .VMUJMJOHVBMTPVOETQPUTZOUIFTJTTZTUFNTʯ 
 ˞༦ํͷηογϣϯʹͯൃදޙӋాۭߓ΁Ҡಈˠ໷ग़ൃˠேΞΠϧϥϯυ౸ண ೥݄೔ɿ*OUFSTQFFDIˏ%VCMJO *SFMBOE 50LBNPUP 55PEBBOE),BXBJ &&447$&OEUPFOETFRVFODFUP TFRVFODFWPJDFDPOWFSTJPO 
 ˞ͳΜͱ͔ΪϦΪϦൃදͰ͖ͯ͠·͏ /FYUQSFTFOUBUJPOT

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֎෦ࢿۚ ຊݚڀͷҰ෦͸+414Պݚඅ+1,ɼ+45"45&1τϥΠΞ΢τ+1.+5.%͓Α ͼ+45 プ ϩ グ ϥϜϚωʔ ジ ϟʔ 1. ͷҭ੒ɾ׆༂ਪਐ プ ϩ グ ϥϜ ࣮ࢪ୅දऀ඗ాܒଠ ͷॿ ੒Λड͚ͨ΋ͷ で ͋Δ ֎෦࿈ܞ খܕνϟωϧԁܗε ピ ʔΧΞϨΠ͓Α び νϟωϧ௚ઢε ピ ʔΧΞϨΠͷࢼ࡞͸๺೔ຊ Իڹגࣜձࣾͱͷڞಉ։ൃʹΑΔ΋ͷ で ͋Γɼ࣮૷ͨ͠ΞϨΠΛ༻͍࣮ͨূ࣮ݧΛ೔ຊՊֶ ະདྷؗʹ࣮ͯࢪͨ͠ ಺෦࿈ܞ Ի੠Ϛϧνεϙοτ࠶ੜٕज़ͷࣾձల։͸/*$5Πϊ ベ ʔγϣϯ デザ ΠϯΠχγΞςΟ ブ ڞ૑ デザ Πϯ プ ϩ ジ ΣΫτͱͯ͠ߦΘΕɼ プ ϩ ジ ΣΫτϝϯ バ ʔ で ͋Δ඗ాܒଠࢯ!ϑϥϯεɼ ਢ౻ඒ༏رࢯ!খۚҪຊ෦ɼ܂ݪສබࢯˏΞϝϦΧ ໊ڞ/*$5૯߹৬ ʹײँͷҙΛද͢Δ 
 ˠԬຊ ݚڀ୲౰ ˏ͚͍͸Μͳਓڌ఺ "DLOPXMFEHFNFOUT

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৽ܕεϐʔΧΞϨΠσϞˏླྀٿେֶ৘ใج൫౷ׅηϯλʔ֊ୈ࣮शࣨ ೔ӳதؖݴޠԻ੠Ϛϧνεϙοτ࠶ੜ λʔϯςʔϒϧΛಋೖ ํ޲ϦΞϧλΠϜԻ੠Ϛϧνεϙοτ࠶ੜ ਓͷֶੜͷ੠ΛϦΞϧλΠϜͰ 
 Ϛϧνεϙοτ࠶ੜ 5PEBZ`TEFNP

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Thank you for your !! Ԭຊ୓ຏ (Takuma OKAMOTO)ˏNICT e-mail: HP: https://www.okamotocamera.com Twitter: @okamotocamerea