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࿦จ঺հ .POPBVSBMBVEJPTPVSDFTQFBSBUJPOVTJOH EFFQDPOWPMVUJPOBMOFVSBMOFUXPSLT ຊ઒఩࠸ 1

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ΞδΣϯμ w എܠ w Իݯ෼཭ͱ͸ w Իݯ෼཭ख๏ w ख๏ w σʔλϑϩʔ w ϞσϧΞʔΩςΫνϟ w ࣮ݧ w ݁Ռ 2

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എܠ 3

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Իݯ෼཭ͱ͸ w ෳ਺ͷԻݯ͕ೖ͍ͬͯΔσʔλ͔Βཉ͍͠ԻݯͷΈΛ෼཭ɾநग़ w Ի੠ೝࣝɺԕִձٞɺิௌثɺFUDʜ w ԻڹɾԻ੠৴߸ॲཧͷίΞٕज़ 4

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؍ଌ৚݅ w ຊ࿦จͷ૝ఆ͸୯Ұνϟωϧ৴߸ʢϞϊϥϧ৴߸ʣ w γϯάϧϚΠΫʹΑΔ࿥Ի w Իݯ෼཭ʹ͸࠷΋ࠔ೉͕ͩ࠷΋؆୯ͳ࿥Իํ๏ 5

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Իݱ෼཭ͷैདྷख๏ w ࠓ·Ͱ͸/.'ͷΑ͏ͳߦྻ෼ղ͕ओྲྀ w 9"4/ͱ͍͏ઢܗϞσϧʢੵ࿨Ϟσϧʣ w ͜ͷΑ͏ͳ෼ղͷ࢓ํ͸ແݶʹ͋Δຊ࣭తͳ೉͠͞ w " 4 /͕௚઀Θ͔Βͳ͍ͷͰ͍͔ʹϞσϦϯά͢Δ͔͕ॏཁ 6 IUUQTMPHNJKQUFDIBSUJDMFT

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ਂ૚ֶशͷ୆಄ w ਂ૚ֶशͷద༻ʹΑͬͯඇઢܗؔ਺ͰϞσϧԽ͕ՄೳʢΑΓॊೈͳදݱೳྗʣ w 9G 4 w ͔͠͠શ݁߹ωοτϫʔΫʢ.-1ʣ͸ܭࢉྔେ w ຊ࿦จͷ໨త͸ύϥϝʔλ਺ͷগͳ͍$//Λར༻͢Δ͜ͱͰϦΞϧλΠϜॲཧ ʹ΋௕͚ͨ//Ϟσϧͷߏங 7

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w .-1ʹΑΔόΠφϦιʔε෼཭ʢ+34JNQTPO ʣ w (..%//ͷ૊Έ߹Θͤख๏ʢ/VHSBIBʣ w ωοτϫʔΫ͸.-1 w &.ΞϧΰϦζϜͰ࠷దԽ ؔ࿈ݚڀ 8 IUUQTBSYJWPSHQEGQEG

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ख๏ 9

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σʔλϑϩʔ w //Λ༻͍ͨԻݱ෼཭ϑϨʔϜϫʔΫ w //ʹΑΔग़ྗͷ߹ܭ͕ݩͷࠞ߹Իݯͱ߹க͢ΔΑ͏ʹ5JNF'SFRVSODZ .BTLJOHΛར༻ʢ)VBOHʣ 10

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ϞσϧΞʔΩςΫνϟ w ΤϯίʔμσίʔμϞσϧ w 7FSUJDBMBOE)PSJ[POUBM$POWPMVUJPO-BZFS'$/ͷ૚ 11

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w 7FSUJDBM$POWPMVUJPOBM-BZFS w ॎํ޲$POWPMVUJPO w ہॴతͳԻ৭ಛ௃ͷֶश͕Մೳ w /.'ͱ͸ҟͳΓ෼཭ιʔεڞ༗ w )PSJ[POUBM$POWPMVUJPOBM-BZFS w ԣํ޲$POWPMVUJPO w 7FSUJDBM$POWͱ͸ҟͳΓ࣌ؒతมԽͷϞσϧԽ w ෼཭ιʔεຖʹଘࡏ͢Δ༷ʑͳ࣌ؒप೾਺ಛੑΛϞσϦϯάՄೳ ͭͷ$POWPMVUJPOBM-BZFS 12

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5JNFGSFRVFODZTPGUNBTLJOH w //ग़ྗͷ༧ଌ݁ՌΛݩͷࠞ߹ιʔεʹ౳͘͢͠ΔΑ͏ͳ੍໿৚݅ w w NBTLJOHMBZFS͸ܾఆ࿦తͳؔ਺ͳͷͰֶश͞ΕΔύϥϝʔλ͸ଘࡏ͠ͳ͍͕ɼ ωοτϫʔΫͷॏΈࣗମ͸ Λ༻͍ͯߋ৽͢Δ ∑ ˜ yn (f ) = ∑ mn (f )x(f ) = 1 × x(f ) = x(f ) ˜ yn (f ) 13

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ύϥϝʔλͷֶश w "EBEFMUBʢ.%;FJMFSʣΛ࢖༻ w 4(%ʢ//ֶशͷͨΊͷඪ४తͳΞϧΰϦζϜʣͷൃల൛ w ֶश཰ͷࣗಈௐઅ͕Մೳ w ऩଋ͕ૣ͍ 14

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࣮ݧ 15

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σʔληοτ w %FNJYJOH4FDSFUT%BUBTFU %4% w ۂͷϑϧτϥοΫσʔληοτ w υϥϜɾϕʔεɾϘʔΧϧɾͦͷଞͷτϥοΫͱ͍͏෼͚ํ w ֶशɾςετͦΕͧΕۂͣͭͰߏ੒ 16

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ֶशςετσʔλͷՃ޻ w ݸʑͷιʔεԻݯͱͦΕΒ͕ࠞͬͨ͟ೖྗԻݯΛඵຖͷηάϝϯτʹ෼཭ w ͜ΕΒʹରͯ͠୹࣌ؒϑʔϦΤม׵Λࢪ͢ʢ/ͷϋχϯά૭Λ࢖༻ʣ w ɿϋχϯά૭ؔ਺ w ϑϨʔϜγϑτྔΛʢΦʔόʔϥοϓʣʹ͢Δ͜ͱͰ͞Βʹ܇࿅σʔλ Λ૿΍͍ͯ͠Δʢ৑௕ੑ΋૿͢ʁʣ w(n) = 0.5 − 0.5 cos 2πn N − 1 (n = 0,...,N − 1) 17

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ଛࣦؔ਺ͷΞδϟετ w ଛࣦؔ਺ʹ͸৐ଛࣦؔ਺Λ࢖༻ɿ w ϕʔεɾυϥϜɾϘʔΧϧ͸ۂશମʹҰ؏ͯ͠ଘࡏ͢Δ͕ɼͦͷଞָث͸େ͖͘มԽ͢Δ w ৐ଛࣦ//͸ฏۉతͳԻ৭ΫϥεΛֶश͠Α͏ͱ͢ΔͨΊɼָث͝ͱͷಛੑΛֶश͠ʹ͘͘ͳͬͯ͠·͏ w ʮϘʔΧϧͱϘʔΧϧҎ֎ʯʮϕʔεͱϕʔεҎ֎ʯʮυϥϜͱυϥϜҎ֎ʯͷࠩΛද߲͢Λ௥Ճ w ʮͦͷଞʯ͸Ϊλʔ΍γϯηͷΑ͏ͳϋʔϞχοΫָثͰϘʔΧϧͱιʔε͕ࣅ͍ͯΔ͜ͱΛར༻ w ҎԼ ͕ϘʔΧϧɼ ͕ͦͷଞʹରԠ Loss = ∑ ∥ ˜ yn − yn ∥2 ˜ y1 ˜ yN 18

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ଛࣦؔ਺ͷΞδϟετ w ଛࣦؔ਺ʹ͸৐ଛࣦؔ਺Λ࢖༻ɿ w ϕʔεɾυϥϜɾϘʔΧϧ͸ۂશମʹҰ؏ͯ͠ଘࡏ͢Δ͕ɼͦͷଞָث͸େ͖͘มԽ͢Δ w ৐ଛࣦ//͸ฏۉతͳԻ৭ΫϥεΛֶश͠Α͏ͱ͢ΔͨΊɼָث͝ͱͷಛੑΛֶश͠ʹ͘͘ͳͬͯ͠·͏ w ʮϘʔΧϧͱϘʔΧϧҎ֎ʯʮϕʔεͱϕʔεҎ֎ʯʮυϥϜͱυϥϜҎ֎ʯͷࠩΛද߲͢Λ௥Ճ w ʮͦͷଞʯ͸Ϊλʔ΍γϯηͷΑ͏ͳϋʔϞχοΫָثͰϘʔΧϧͱιʔε͕ࣅ͍ͯΔ͜ͱΛར༻ w ҎԼ ͕ϘʔΧϧɼ ͕ͦͷଞʹରԠ Loss = ∑ ∥ ˜ yn − yn ∥2 ˜ y1 ˜ yN 19

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݁Ռ 20

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࣮ݧ݁Ռ w ධՁࢦඪɿ4%3ɾ4*3ɾ4"3ɾ*43ʢ7JODFOUʣ w ஋͕େ͖͍΄Ͳੑೳྑ͍ w .-1ͱ΄΅Ḯ৭ͳ͍݁ՌΛগͳ͍ॲཧ࣌ؒͰୡ੒ʢύϥϝʔλ࡟ݮͷޮՌʣ 21

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σϞ w IUUQTXXXZPVUVCFDPNXBUDI W8X)Z/B%G& 22