ᮏ᪥䛾ෆᐜ䠄10/30䠅 㡢㡪䝕䞊䝍䛾ศᯒ • 䠄௨ୗ䚸๓ᅇ㈨ᩱ䛸㔜」䛒䜚䠅 • 㡢㡪䝕䞊䝍䛾ศᯒ • 㡢㡪ಙྕ䝕䞊䝍䛛䜙䚸䜒䛸䛾㡢䛾ᇦⓗᛶ㉁ 䜢⾲䛩≉ᚩ㔞䜢ᢳฟ䛩䜛䚹 • 䛸䜚䜟䛡㡢䛾㧗䛥䠄㡢㧗䠅䚸ᙉ䛥䛻㛵䛩䜛ሗ 䛜ᇶᮏⓗ䛛䛴㔜せ䚹 – 䝣䞊䝸䜶⣭ᩘ䚸䝣䞊䝸䜶ኚ – 㞳ᩓ䝣䞊䝸䜶ኚ䠄DFT䠅䚸 㧗㏿䝣䞊䝸䜶ኚ䠄FFT䠅 – ⮬ᕫ┦㛵 – Cepstrum, LPC, MFCC – 㧗䛥䠖 㡢䛾࿘ᮇⓗ䛺㛫ኚ – ᙉ䛥䠖 㡢䛾䝟䝽䞊್䠄ᖜ䛾2ᖹᆒ䛻ᑐᛂ䠅 • 㡢ᴦⓗ䛺ᛶ㉁䠄ㄪ䞉ㄪᛶ䚸ᢿ⠇ᵓ㐀䠅 • 䛥䜙䛻ᴦჾ㡢㆑ู䚸㡢※ᐃ䚸㡢※ศ㞳➼䚹 • 㡢ᴦሗ⛉Ꮫ䛻䛴䛔䛶䠄ᑟධ䠅 1 2 㡢䛾ᡂ䜚❧䛱䠄༢㡢䠅 “ADSR” 䠄䜶䞁䝧䝻䞊䝥ᙧ≧䛾ᅗᘧ䠅 • 㛫ⓗ༊ศ • 䜒䛸䜒䛸䛿䝅䞁䝉䝃䜲䝄䞊䛾䝟䝷䝯䝍䛻䛴䛔䛶ゝ 䜟䜜䛯䚹 – ❧䛱ୖ䛜䜚㒊ศ䠄䜰䝍䝑䜽 attack䠅 • ᴦჾ㡢䛾㆑ู䚸 㡢ኌ䛾Ꮚ㡢䛾㆑ู䛺䛹 – – – – 䝢䜰䝜 – ᣢ⥆㒊ศ • 㡢䛾㧗䛥䚹䛒䜛⛬ᗘᐃᖖⓗ䛰䛜䚸 㛫ⓗ䛺ኚ䜒䛒䜛 • 㛫ኚ – ῶ⾶㡢䠄䝢䜰䝜䚸ᡴᴦჾ➼䠅 – ᣢ⥆㡢䠄⟶ᴦჾ䚸ᘻᴦჾ➼䠅 – 䝢䝑䝏䛾㛫ኚ • 䞂䜱䝤䝷䞊䝖䠄₇ḷ䛾䛣䜆䛧䛺䛹䜒䠅 • 㡢㧗ኚ䠖 chirp 㡢䚸䜾䝸䝑䝃䞁䝗 䢲䢰䢲䢷 䢲䢰䢲䢶 䢲䢰䢲䢵 䢲䢰䢲䢴 䢲䢰䢲䢳 䢲 Attack䠄❧䛱ୖ䛜䜚䠅 Decay䠄ῶ⾶䠅 Sustain 䠄ಖᣢ䠅 Release 䠄㛤ᨺ䚸ṧ㡪䠅 • ᐇ㝿䛾ᴦჾ㡢䛾≉ᚩ䛵䛡䛺䛹䛻䜒㌿⏝䛥䜜䜛 • 䜶䞁䝧䝻䞊䝥䠄envelope: ໟ⤡⥺䠅 䢯䢲䢰䢲䢳 䢯䢲䢰䢲䢴 䢯䢲䢰䢲䢵 䢯䢲䢰䢲䢶 䢯䢲䢰䢲䢷 䢲 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 – ⣔ิ䝕䞊䝍䚸䝇䝨䜽䝖䝹䛺䛹䛻䛴䛔䛶䚸⣽䛛䛔ኚື 䜢ᖹ䛧䛶䜎䛛䛺ᙧ≧䜢ྲྀ䜚ฟ䛧䛯䜒䛾 䢳䢰䢶 䝸䝁䞊䝎䞊 3 ཧ⪃䠖ḷኌศᯒ䞉ྜᡂ 4 ḷၐ䛾䝣䜷䝹䝬䞁䝖䠄䝔䝜䞊䝹䠅 • 㡢ኌ䛷䛿䚸ẕ㡢䛻ᛂ䛨䛶≉ᐃ䛾࿘Ἴᩘᡂศ 䛜ᙉ䛟䛷䜛䚹䛣䜜䜢䛂䝣䜷䝹䝬䞁䝖(formant)䛃 䛸ゝ䛖䚹 • 䝣䜷䝹䝬䞁䝖䜢䛖䜎䛟ྜᡂ䛩䜜䜀㡢ኌ䜙䛧䛟 ⪺䛣䛘䜛䚹 • Ꮚ㡢䛾ྜᡂ䛿䜒䛳䛸㞴䛧䛔䚹 • Singer’s formant䠖 䛻䜽䝷䝅䝑䜽ḷᡭ䛻 ≉᭷䛾ḷኌ䛾䝣䜷䝹䝬䞁䝖䠄3000Hz ㏆䠅 A 800-1200 Hz 5 E I 400-600 Hz 2200-2600 Hz 200-400 Hz 3000-3500 Hz O 400-600 Hz U 200-400 Hz 6 ศᯒ᪉ἲ䛾✀㢮 㡢䛾㧗䛥 (1) 䠄⩦䠅 • 䠄௨ᚋ䛧䜀䜙䛟䛿༢㡢䛻䛴䛔䛶ྲྀ䜚ୖ䛢䜛䠅 • 㛫㡿ᇦ䛷䛾ศᯒ䠄Ἴᙧ䝕䞊䝍䛾ศᯒ䠅 – 㡢䛾䜰䝍䝑䜽㒊ศ䚸㛫ኚ䛾ศᯒ – Ἴᙧ⮬య䛾┤᥋ⓗ䛺ศ㢮䞉ẚ㍑䛿䛒䜎䜚ព䛜 䛺䛔䠄┦ᕪ䛜⫈ྲྀ䛻䛒䜎䜚ᙳ㡪䛧䛺䛔䠅 • ୍ᐃ䛾㧗䛥ឤ䠄䝢䝑䝏ឤ䠅䛾䛒䜛㡢䛿䚸 ୍ᐃ䛾࿘ᮇ䛷Ἴᙧ䛜⧞䜚㏉䛥䜜䜛䚹 • 䛣䛾࿘ᮇ䜢࿘Ἴᩘ༢䛷⾲䛧䛯䜒䛾䛜 䛂ᇶᮏ࿘Ἴᩘ䛃 fundamental (frequency) • ࿘Ἴᩘ㡿ᇦ䛷䛾ศᯒ䠄䝇䝨䜽䝖䝹䛾ศᯒ䠅 • ᴦ㡢䠖 䝢䝑䝏ឤ䛾䛒䜛㡢 – Ἴᙧ䝕䞊䝍䛾䝣䞊䝸䜶ኚ⤖ᯝ䠄䝇䝨䜽䝖䝹䠅䜢⏝ 䛔䛯ศᯒ – ࿘Ἴᩘሗ䛻䛴䛔䛶䛾⢭ᐦ䛺ሗ䛜ᚓ䜙䜜䜛 ㏻ᖖ䛾ᴦჾ㡢 • ᄀ㡢䠖 䝢䝑䝏ឤ䛾䛺䛔㡢 ᡴᴦჾ㡢(䝅䞁䝞䝹䚸䝗䝷䝮䚸䠊䠊䠊䠅䚸 white noise ୰㛫ⓗ䠖 㚝䚸㖡㛐䛺䛹 7 㡢䛾㧗䛥 (2): ࿘Ἴᩘᡂศ 8 㡢䛾㧗䛥 (3): Fourier ᒎ㛤䞉⣭ᩘ • 䠄ヲ⣽䛿ᤵᴗ⿵㊊㈨ᩱ wave2.pdf ➼䜢ཧ↷䠅 • 䛂㔜䛽䛒䜟䛫䛾ཎ⌮䛃 䠎䛴䛾㡢 S1(t) 䛸 S2(t) 䛸䜢ྠ䛻㬆䜙䛧䛯㡢 S(t) 䛿 S(t) = S1(t) + S2(t) 䛷⾲䛥䜜䜛䚹 • ᴦ㡢䠄䝢䝑䝏ឤ䛾䛒䜛㡢䠅 S(t) 䛿䚸ᇶᮏ࿘Ἴᩘ f 䛾ᩚᩘಸ 䛾࿘Ἴᩘ䛾㡢䛾㔜䛽ྜ䜟䛫䠄㞳ᩓ䝇䝨䜽䝖䝹䠅䚹 ʌI Ȧ䛸䛚䛟䛸䠖 S(t) = a0 /2 + a1 cos Ȧt + a2 cos 2Ȧt + a3 cos 3Ȧt + ... + an cos nȦt + ... +b1 sin Ȧt + b2 sin 2Ȧt + b3 sin 3Ȧt + ... + bn sin nȦt + ... • ᭱䜒䛂༢⣧䛺䛃㡢䠄⣧㡢䠅䛿୕ゅ㛵ᩘ䠄䝃䜲䞁Ἴ䠅䛸䛧䛶 ⾲䛫䜛䚹 S(t) = AVLQʌf t +Į䠅 = AVLQȦt +Į䠅 (A: ᖜ䚸f: ࿘Ἴᩘ䚸Ȧ ʌf : ゅ࿘Ἴᩘ䚸Į䠖┦䠅 • ⣧㡢䛷䛺䛔㡢䜢」ྜ㡢䛺䛹䛸ゝ䛖䚹 9 㔜䛽ྜ䜟䛫䛻䜘䜛ྜᡂ䛾 䢬䢬䢬䢢䣰䢢䢿䢢䢳䢳䢼䢢䣣䣦䣦䢢䢳䢱䢳䢳䢢䣵䣫䣰䢪䢳䢳䢬䣶䢫䢢䢬䢬䢬 䢳 䢳 䢲䢰䢷 䢲䢰䢷 䢲 䢲 䢯䢲䢰䢷 䢯䢲䢰䢷 䢯䢳 䢯䢳䢰䢷 䢲 • ཎ⌮䠄୕ゅ㛵ᩘ䛾┤ᛶ䠅 S(t) = a0 /2 + a1 cos Ȧt + a2 cos 2Ȧt + a3 cos 3Ȧt + ... + an cos nȦt + ... +b1 sin Ȧt + b2 sin 2Ȧt + b3 sin 3Ȧt + ... + bn sin nȦt + ... (1) 䢬䢬䢬䢢䣰䢢䢿䢢䢳䢲䢵䢼䢢䣣䣦䣦䢢䢳䢱䢳䢲䢵䢢䣵䣫䣰䢪䢳䢲䢵䢬䣶䢫䢢䢬䢬䢬 䢳䢰䢷 䢴 䢵 䢶 䢷 䢸 䢹 䢯䢳䢰䢷 䢲 䢳 䢴 䢵 䢶 䢷 䢸 䢹 • • Gibbs ⌧㇟䠖 S(t) 䛾㐃⥆㒊ศ䛷䝇䝟䜲䜽䛜 ⏕䛨䜛䚹 2S ³ S (t ) cos nZtdt S ʌbn = ³ S (t ) sin nZtdt • ʌan = 䢯䢳 䢳 10 ࿘Ἴᩘศᕸ䠄㞳ᩓ䝇䝨䜽䝖䝹䠅 • ▴ᙧἼ䠄n=11, n=103䠅 䢳䢰䢷 • ᇶᮏ࿘Ἴᩘ䛾㡢䠖 ᇶ㡢 ࿘Ἴᩘ nf 䛾㡢䠖 (ᇶ㡢䛾䠅➨ n-1 ಸ㡢 an, bn 䠖 ➨ n-1 ಸ㡢䛾ᖜ 0 2 0 • 䠄୍⯡䛻䛿㐃⥆ศᕸ䠄䝣䞊䝸䜶ኚ䠅䛻䛺䜛䚹䠅 11 12 ཧ⪃䠖䝣䞊䝸䜶⣭ᩘ䛾᮰ᛶ 」⣲䝣䞊䝸䜶⣭ᩘ䞉ኚ • S(t) 䛜๓䝇䝷䜲䝗 (1) 䛾䜘䛖䛻⾲䛫䜛ሙྜ䚸 S(t) 䛿 f ʌf =Ȧ)䜢ᇶᮏ࿘Ἴᩘ䛸䛩䜛࿘ᮇ㛵 ᩘ䛷䛒䜛䚹 э 䛣䜜䛿䜎䛒䚸᫂䜙䛛 • ၥ㢟䛿䛭䛾㏫䠖 ௵ព䛾࿘ᮇ㛵ᩘ䛿 sin, cos 䛾⣭ᩘ䛸䛧䛶⾲䛫䜛䛛䠛 cos T i sin T • 䜸䜲䝷䞊䛾ᐃ⌮䠖 e 䜢⏝䛔䜛䛸䚸cos, sin 䛾⤌䛸」⣲ᣦᩘ㛵ᩘ䜢┦䛻⾜ 䛝᮶䛷䛝䜛䚹 iT f S (t ) ¦ cnei nt n f f ¦ c cos nt i sin nt n f n • ᩘᏛⓗ䛻䛿」⣲ᣦᩘ㛵ᩘ䛾䜋䛖䛜ᢅ䛔䜔䛩䛔䛾䛷䚸 䝣䞊䝸䜶⣭ᩘ䜢」⣲ᩘ䛷⾲䛩䛣䛸䜒ከ䛔䚹䛥䜙䛻䝣䞊䝸 䜶ኚ䠄ᚋ㏙䠅䛿」⣲ᩘ䛷⾲䛩䛾䛜ᬑ㏻䚹 – 㐃⥆㛵ᩘ䛾ሙྜ䛻ᡂ䜚❧䛴䛣䛸䛿ẚ㍑ⓗᐜ᫆ – ၥ㢟䛿㐃⥆㛵ᩘ䛾ሙྜ 䛣䜜䛻䛴䛔䛶䛿䚸19ୡ⣖ᩘᏛ䛾䛛䛺䜚䛾㒊ศ䛜䛣 䛾ゎ᫂䛻㛵䜟䛳䛶䛔䜛ၥ㢟 • 䠄ヲ䛧䛟䛿ᤵᴗ㈨ᩱ 3.2 ➼䜢ཧ↷䠅 13 14 䝣䞊䝸䜶ኚ䠄ᑟධ䠅 䝣䞊䝸䜶ኚ䠄㐃⥆䝇䝨䜽䝖䝹䠅 • ᇶᮏ࿘Ἴᩘ䛜 Ȧ䛷䛺䛔䠄ሙྜ䛻䜘䛳䛶䛿࿘ ᮇⓗ䛷䛥䛘䛺䛔䠅㡢 S(t) 䛻䛴䛔䛶䚸(2.1, 2.2) 䛻䜘䜚䝣䞊䝸䜶ಀᩘ䜢ィ⟬䛩䜛䛸䛹䛖䛺䜛䛛 • ಙྕ㛵ᩘ S(t) 䛻ᑐ䛧䚸ḟᘧ䛷⾲䛥䜜䜛 S*Ȧ) 䜢 S(t) 䛾䛂䝣䞊䝸䜶ኚ䛃䛸䛔䛖䚹 S * (Z ) ³ f f e iZt S (t )dt • S*(Ȧ) 䛿 S(t) 䛾ゅ࿘Ἴᩘ Ȧᡂศ䛾䛝䛥䜢 ⾲䛩䚹䠄 S*(Ȧ)⮬㌟䛿」⣲ᩘ್䛺䛾䛷䚸ᐇ㝿 䛻䛿䛭䛾⤯ᑐ್䜢䛸䛳䛯 |S*(Ȧ)| 䛜䛝䛥䜢⾲ 䛩䚹䠅 • эȦ䛜༑ศ⣽䛛䛡䜜䜀䚸S(t) 䛾࿘Ἴᩘᡂศ 䛾㏆䛻䝢䞊䜽䛜⌧䜜䜛䠄䝕䝰䚸㈨ᩱཧ↷䠅 • ࿘ᮇ Tĺ0䠄Ȧĺ䠅䛾ᴟ㝈䜢䛸䜜䜀䚸࿘Ἴᩘ ᡂศศᕸ䛜ᚓ䜙䜜䜛 э䛂䝣䞊䝸䜶ኚ䛃 – ᐇ㝿䛾ィ⟬䛷䛿䚸S(t) 䛿᭷㝈⠊ᅖ䛷䛧䛛䛘䜙 䜜䛪䚸ୖ䜒᭷㝈⠊ᅖ䛾✚ศ䛸䛺䜛䚹 15 16 㞳ᩓ䝣䞊䝸䜶ኚ䠄DFT䠅 㧗㏿䝣䞊䝸䜶ኚ䠄FFT䠅 • 䝣䞊䝸䜶ኚ䛾㞳ᩓ䚹 (discrete Fourier Transform) • ᭷㝈ಶ䛾㞳ᩓⓗ䛺ಙྕ䝕䞊䝍 x0, x1,..., xn-1 䛻ᑐ䛧䛶䠄」⣲䠅䝣䞊䝸䜶⣭ᩘᒎ㛤䜢㐺⏝䠖 • 㞳ᩓ䝣䞊䝸䜶ኚ䠄DFT䠅䜢ຠ⋡ⓗ䛻ィ⟬䛩䜛䛯䜑 䛾䜰䝹䝂䝸䝈䝮 (Fast Fourier Transform) – Cooley & Tukey 1965 䛻䜘䜛䚹 • ཎ⌮䛿䚸⾜ิィ⟬䛷ྠ䛨ィ⟬䛻䛺䜛㒊ศ䜢䛖䜎䛟 䜎䛸䜑䛶䚸1ᅇ䛾ィ⟬䛷῭䜐䜘䛖䛻䛩䜛䛣䛸䚹 • ⤖ᯝ䛿䠄」⣲䠅䝣䞊䝸䜶ಀᩘ್ fj • 䛣䛾䛸䛝 fj 䛻䜒࿘ᮇᛶ䛜䛒䜛䠄ୖ䛾 j 䛾⠊ᅖ䛰䛡䛧 䛛್䛜ᚓ䜙䜜䛺䛔䠅䚹 • ୖ䛾ィ⟬䛿⾜ิ䞉䝧䜽䝖䝹䛾ィ⟬䛸䛧䛶ᐇ⾜䛷䛝䜛 17 – 䛣䜜䛻䜘䜚ィ⟬㔞䛜㏻ᖖ䛾 O(N2) 䛛䜙 O(Nlog N) ⛬ᗘ 䛻䜎䛷ῶᑡ䛩䜛䚹 • DFT 䛾ィ⟬䛰䛡䛷䛺䛟䚸ᛂ⏝⠊ᅖ䛜ᗈ䛔䚹 • ᇶᮏⓗ䛻䛿 N=2n 䛾ሙྜ䛻㐺⏝䛥䜜䜛䛜䚸ᣑᙇ䛻 䜘䜚୍⯡䛾 N 䛻䜒⏝ྍ⬟䚹 18 DFT/FFT 䛷ᚓ䜙䜜䜛್ STFT, ❆㛵ᩘ • ࿘Ἴᩘศゎ⬟䠖 䝕䞊䝍Ⅼᩘ䛻౫Ꮡ䚹 • FFT 䛿▷䛔❆ᖜ䛻㐺⏝䛩䜛䛾䛜ᬑ㏻䚹 䠄N = 1024, 2048 ➼䠅 STFT (Short Term Fourier Transform) • ❆䛾୧➃䛷䛿ኚ⤖ᯝ䛜ṍ䜐䛣䛸䛻䛺䜛䚹 • 䛸䛧䛶࿘Ἴᩘศゎ⬟ᨵၿ䛾䛯䜑䚸ᵝ䚻䛺❆㛵 ᩘ䜢䛨䛶䛛䜙 FFT 䜢⾜䛖䚹 – 䝃䞁䝥䝸䞁䜾䝺䞊䝖 Fs䚸䝕䞊䝍Ⅼᩘ N 䛾䛸䛝䚸ᚓ䜙䜜 䜛࿘Ἴᩘᡂศ䛿 Fs/N ༢䚹 䛘䜀 Fs = 44100 Hz䚸N=2048 䛾ሙྜ䚸 44100/2048 = 21.5 Hz 䛚䛝䛾್䛻䛺䜛䚹 • ❆ᖜ䠄䠙䝕䞊䝍Ⅼᩘ䠅䜢䛝䛟䛩䜜䜀䜘䜚⢭ᐦ䛺 ࿘Ἴᩘ್䛜ᚓ䜙䜜䜛䛜䚸୍᪉䛷䛿ಙྕ䛾㛫 ኚ䜢ᖹᆒ䛧䛶ྲྀ䜚㎸䜣䛷䛧䜎䛖䚹䠄䝕䝰䠅 • 䛴䜎䜚࿘Ἴᩘ⢭ᗘ䛸㛫⢭ᗘ䛸䛿┦⿵ⓗ㛵ಀ䛻 䛒䜛䠄䠙䛂☜ᐃᛶཎ⌮䛃䠅䚹 19 – – – – – ▴ᙧ❆䠄ཎ䝕䞊䝍䛾䜎䜎䠅 Hanning ❆ Hamming ❆ Gaussian ❆ ➼䚻 ᇶᮏ࿘Ἴᩘ䛾ᢳฟ ⮬ᕫ┦㛵 䠄Autocorrelation䠅 • ᚓ䜙䜜䛯࿘Ἴᩘ䝇䝨䜽䝖䝹䛛䜙䚸 ᇶᮏ࿘Ἴᩘ f0 䜢ᢳฟ䛩䜛䚹 • ᐇ㝿䛻䛿࿘Ἴᩘ䝇䝨䜽䝖䝹䜢ᚓ䜛䛣䛸䜘䜚䚸䛣䛱 䜙䛾䜋䛖䛜䛔䜝䛔䜝㞴䛧䛔Ⅼ䛜ከ䛔䚹 • f0 䛾ồ䜑᪉䠖 • 㛫㡿ᇦ䛷䛾࿘Ἴᩘᢳฟἲ䚹 • 䠄䜋䛸䜣䛹࿘ᮇⓗ䛺䠅ಙྕ S(t) 䜢䚸㛫ⓗ䛻ᑡ䛧 䛪䜙䛧䛯 6WIJ䛸㔜䛽䛶୍⮴ᗘ䜢ぢ䜛䚹 f – – – – 䜎䛪䝢䞊䜽್䠄ᴟ್䠅䜢ồ䜑䜛䚹 ᭱Ⅼ䛜 f0 ..... 䛸䛿㝈䜙䛺䛔䚹 䝣䜱䝹䝍䛾⏝䠄᷸ᙧ䝣䜱䝹䝍䚸䜺䜴䝅䜰䞁䝣䜱䝹䝍䠅 䜿䝥䝇䝖䝷䝮䠄䝣䞊䝸䜶ኚ䠅 A(W ) ³ f S (t ) S (t W )dt • IJ䛜࿘ᮇ䠄䛾ᩚᩘಸ䠅䛷䛒䜜䜀୍⮴ᗘ䛜䛝䛟䚸 䛭䛖䛷䛺䛡䜜䜀୍⮴ᗘ䛿ప䛔䠄㏫┦䛷䛒䜜䜀 ㈇䛾䛝䛺್䛻䛺䜛䠅䛸ண䛥䜜䜛䚹 • 䝢䞊䜽䛸䛺䜛ṇ䛾IJ䛾᭱ᑠ್䛜࿘ᮇ䛻ᑐᛂ䚹 䠄ᇶᮏ࿘Ἴᩘ䛿䛭䛾㏫ᩘ䠅 • 㞳ᩓ䝕䞊䝍䛷䛿1Ⅼ䛪䛴䛪䜙䛧䛶㔜䛽ྜ䜟䛫䜜 䜀䠄⟬䛩䜜䜀䠅䜘䛔䚹 э䝕䝰 21 22 ᇶᮏ࿘Ἴᩘ䛾ᢳฟ䠄⥆䠅 ṧ䛥䜜䛯ၥ㢟 • 䝣䜱䝹䝍 • f0 Ỵᐃ䛾ၥ㢟Ⅼ䠖 䜸䜽䝍䞊䝤䜶䝷䞊䛺䛹 – ≉ᐃ䛾࿘Ἴᩘᖏᇦ䛰䛡䜢㏻䛩㛵ᩘ䠄䝣䜱䝹䝍㛵ᩘ䠅䜢 䛪䜙䛧䛺䛜䜙䛨䛶䚸ᴟ್䛸䛺䜛Ⅼ䜢ồ䜑䜛䚹 G (W ) ³ f f 20 • 」ᩘ㡢䛜ྠ䛻㬆䛳䛶䛔䜛ሙྜ䠄㡢※ศ㞳䠅 S (t ) F (t W )dt – 䛭䜜䛮䜜䛾㡢䛾䝇䝨䜽䝖䝹䛜㔜䛺䛳䛶䛔䜛䚹 – ཎ⌮ⓗ䛻䛿ศ㞳䛿ྍ⬟䚸䛧䛛䛧ᵝ䚻䛺ᡭ䛛䜚䛿 䛒䜛䚹 – ࿘Ἴᩘ᪉ྥ䛾ᑐᩘ್䜢䛸䜛䛸䜸䜽䝍䞊䝤䛤䛸䛻࿘ᮇ ᛶ䛜䛒䜛䚹 • 䜿䝥䝇䝖䝷䝮 • ᪤▱䛾䝇䝨䜽䝖䝹ศᕸ䛾⏝ • 䜰䝍䝑䜽㒊ศ䛾ሗ • 㡢䛾㛫ኚ䠄䛾䝟䝍䞊䞁䠅 – 䝇䝨䜽䝖䝹⮬య䛻࿘ᮇᛶ䛜䛒䜛䠖 – ࿘Ἴᩘ᪉ྥ䜢ᑐᩘ್䛻䛸䛳䛯䝇䝨䜽䝖䝹䛻䝣䞊䝸䜶ኚ 䜢䛛䛡䜛䚹᭱䝢䞊䜽䛜 f0 䛻䛺䜛䚹 – 䛣䜜䜢ᛂ⏝䛧䛯 MFCC 䠄Mel frequency cepstrum coefficients) 䛜ᐇ⏝䛷䜒ከ䛟⏝䛥䜜䛶䛔䜛䚹 • 䜰䝍䝑䜽䛺䛹䚸㠀ᐃᖖ㒊ศ䚸㛫ኚ䛾ゎᯒ 23 24
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