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Wi-Fi再入門〜見えない電波を知識で見抜く

Akira KUMAGAI
December 01, 2016

 Wi-Fi再入門〜見えない電波を知識で見抜く

Wi-Fi再入門〜見えない電波を知識で見抜く
InternetWeek2016

Akira KUMAGAI

December 01, 2016
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  1.  w ి೾ͱ͸ͲΜͳ΋ͷ͔ w ແઢಠಛͷಛੑ w νϟωϧར༻཰ͱి೾ׯব w ۭؒͷ෼ׂ w

    ແઢ-"/ʹ࢖ΘΕ͍ͯΔٕज़ w ެऺແઢ-"/ ͜ͷࢿྉͷ໨త
  2. 

  3. ి೾ͬͯͳʹ w ి೾ͱݺ͹ΕΔൣғ͸͚ͬ͜͏޿͍ w ࣖͰ͸ฉ͑͜ͳ͍ɾԻ೾͸ผͷ΋ͷ Ի͸ۭؾͷ஄ੑ೾  Մ ࢹ ޫ

    ઢ ୹ ೾ ੺֎ઢ 9ઢ Ѝઢ ࢵ֎ઢ ೾௕ Е ୹͍ˠ प೾਺ З ߴ͍ˠ ͜ͷล͕8J'J ϚΠ Ϋ ϩ೾ З )[ Е N ௕ ೾ ి೾ Ұൠతͳແઢ௨৴ ి࣓೾ͱप೾਺ https://commons.wikimedia.org/wiki/File:EM_spectrum.svg
  4. ଎͘ɾ҆͘ɾԕ͘·Ͱ  ଎͘ ҆͘ ԕ͘ ࠔ೉ 802.11ad JJY(1bps) GPS(25 -

    50bps) ͔͠΋҆શʹ Ӊ஦୳ࠪػ ςϨϏ์ૹ Bluetooth NFC ଎͘ˡˠԕ͘ɹ͸ཱ྆Ͱ͖ͳ͍ γϟϊϯͷఆཧ w ௨৴࿏༰ྔͷݶք͸νϟωϧ෯ͱ৴߸඼࣭Ͱܾ·Δ ϑϦεͷ఻ୡࣜ w ಉ͡प೾਺ͳΒ৴߸ڧ౓͸ڑ཭ࣗ৐ʹ൓ൺྫ ҆͘ͳΔͱ w ΈΜͳ͕࢖͑Δখ͞ͳઃඋ ௿ੑೳ  w ࣗ෼ͱؔ܎ͳ͍৴߸ʢϊΠζʣ͕ ૿͑Δ ˠ৴߸඼࣭ͷ௿Լ ෺ཧతʹ઀৮͠ͳͯ͘΋৘ใ͕औಘͰ͖Δ ड৴ͯ͠Έͳ͍ͱͦΕ͕Կͷ৘ใͳͷ͔෼͔Β ͳ͍ʢड৴ߦҝࣗମͷ๏ن੍͕ෆՄೳʣ
  5. प೾਺ ೾௕ ௕͍ ୹͍ Ξϯςφ େ͖͍ খ͍͞ ඈͼํ ো֐෺Λ؏௨ ো֐෺ʹ൓ࣹٵऩ

    ɹɹɹɹɹɹɹಋମɺਫ෼Λ؏௨͠ͳ͍ ͍Ζ͍Ζ͋Δ ޫͬΆ͍ ௚ਐੑ͕ߴ͍ ௨৴࿏༰ྔ খ༰ྔ େ༰ྔ ࢦ޲ੑ ࡞Γʹ͍͘ ࡞Γ΍͍͢ ݮਰ খ େ ߴ ௿ प೾਺(Hz) ͱੑ࣭  ϫ Π ϑ Ν Π ͸ ͜ ͷ ͋ ͨ Γ
  6.  ۭؒͷ෼ׂྫ Χόʔൣғ༏ઌ ௿ີ౓ ऩ༰୺຤਺༏ઌ ߴີ౓ʣ Կ੍͕ݶʹͳΔ͔ ి೾ͷ౸ୡൣғ ి೾ׯব "1ͷ਺

    গͳ͍ ଟ͍ Ξϯςφͷࢦ޲ੑ ແࢦ޲ੑ ࢦ޲ੑ ి೾ͷ౸ୡൣғ Ͱ͖Δ͚ͩ޿͘ ڱ͍ൣғͰࢭΊΔ ো֐෺ গͳ͍΄͏͕Α͍ ଟ͍΄͏͕Α͍ प೾਺ଳ ௿͍΄͏͕Α͍ ߴ͍΄͏͕Α͍ Ϣʔεέʔε Ոఉ ΦϑΟεɺελδΞϜ౳
  7.  macOS / OS X Ͱ͸ option + Wi-Fi ΞΠίϯ

    Ͱݱࡏ઀ଓதͷ଎౓Λ֬ೝ Ͱ͖·͢ɻϦΞϧλΠϜʹมԽ͢Δ ༷ࢠ͕Θ͔Γ·͢ ి೾ͷڧ͞ͱ଎౓ CQT
  8. ʮ·͋ɺ଴ͯΑɺ଴ͯͬʯͱΠϫϯ͸সͬͯɺʮ͍΍ʹٯ্͕ͤΔ͡Όͳ͍͔ɺ͓·͕͑ݬ૝ͱݴ͏ΜͳΒɺͦΕͰ΋͍͍ΑʂɹΉΖΜɺݬ૝͞ɺ͕ͩͳɺ͓·͑͸ ຊ౰ʹɺۙੈͷΧτϦοΫڭͷӡಈͷશ෦͕ɺ͚͕Εͨ޾෱ͷΈΛ໨తͱ͢Δݖྗͷر๬ʹ͗͢ͳ͍ͱࢥͬͯΔͷ͔͍ʁɹ͍ͦͭ͸ύΠʔγΠਆ෕ʹͰ΋ڭΘͬͨ͜ ͱ͡Όͳ͍͔ͳʁʯʮ͍͍͑ɺ͍͍͑ɺ൓ରʹɺύΠʔγΠਆ෕͸͍͔ͭͩͬͨɺܑ͞Μͱಉ͡Α͏ͳ͜ͱΛݴΘΕͨ͜ͱ͑͋͞Γ·͢Αʜʜ͔͠͠ɺΉΖΜҧ͍· ͢ɺ·ΔͰҧ͍·͢ΑʯͱɺΞϦϣʔγϟ͸͋Θͯͯݴ͍ͳ͓ͨ͠ɻʮ͍΍ɺ͍ͦͭ͸ɺ͓·͕͑ʰ·ΔͰҧ͏ʱͱݴͬͨͱ͜ΖͰɺͳ͔ͳ͔وॏͳใࠂͩͥɻͦ͜ ͰҰ͓ͭ·͑ʹฉ͖͍ͨͷ͸ͶɺͲ͏͍͏Θ͚Ͱ͓·͑ͷ͍͏ΤζΠλ΍৹໰׭ͨͪ͸ɺͨͩ෺࣭తͳ൰͍͠޾෱ͷͨΊͷΈʹஂ݁ͨ͠ͱ͍͏Μ͍ͩʁɹͳͥ൴Βͷ ͳ͔ʹ͸ɺҒେͳΔ༕यʹ೰Έͳ͕ΒɺਓྨΛѪ͢Δड೉ऀ͕Ұਓ΋͍ͳ͍ͱ͍͏ͷ͍ͩʁɹͶɺ͚͕Εͨ෺࣭త޾෱ΛͷΈׇڼ͍ͯ͠Δɺ͜͏͍͏࿈தͷͳ͔ʹ΋ɺ ͤΊͯҰਓ͙Β͍ɺ๻ͷ࿝৹໰׭ͷΑ͏ͳਓ͕͋ͬͨͱ૝૾ͯ͠΋͍͍͡Όͳ͍͔ɺ൴͸ߥ໺Ͱ૲ͷࠜΛ৯͍ͳ͕ΒɺΈ͔ͣΒࣗ༝ͳ׬શͳ΋ͷʹͳΔͨΊʹɺࣗ෼ ͷ೑ମΛ੐෰͠Α͏ͱͯ͠ڰຉͨ͠ͷ͕ͩɺਓྨΛѪ͢Δ೦ʹ͸ੜ֔มΘΓ͕ͳ͔ͬͨͷ͞ɻͱ͜Ζ͕ɺҰேɺࠌવͱͯ͠ҙࢤͷ׬੒ʹ౸ୡ͢Δͱ͍͏ਫ਼ਆతͳ޾෱ ͸ͦΕ΄ͲҒେͳ΋ͷͰ͸ͳ͍ɺͱ͍͏͜ͱΛେޛͨ͠ͷͩɻͦΕ͸ɺҙࢤͷ׬੒ʹ౸ୡͨ࣌͠ʹ͸ɺࣗ෼Ҏ֎ͷ਺ԯͷਆͷࢠ͕ɺͨͩᅑসͷର৅෺ͱͳͬͯ͠·͏ɺ ͱ͍͏͜ͱΛೝΊ͟ΔΛಘͳ͍͔Βͩɻશ͘൴Β͸ࣗ෼ͷࣗ༝ΛͲ͏ॲஔ͍͍͔ͯ͠΋Θ͔Βͳ͍ͷͩɺ͜͏͍͏ѩΕͳ๫ెͷத͔ΒɺόϏϩϯͷౝΛ׬੒͢Δڊਓ

    ͕ग़ͯདྷΑ͏͸ͣ͸ͳ͍ɺʰҒେͳΔཧ૝Ոʱ͕ɺ͔ͷௐ࿨ΛເΈͨͷ͸ɺ͜Μͳ᳕ௗͷΑ͏ͳ࿈தͷͨΊͰ͸ͳ͍ɺ͜͏͍͏͜ͱΛޛͬͨͷͰɺ൴͸Ҿͬฦͯ͠ʜʜ ݡ໌ͳΔਓʑͷ஥ʹՃΘͬͨΘ͚͕ͩɺͦΜͳ͜ͱ͸͋Γಘͳ͍ͱ͍͏ͷ͔͑ʁʯʮ୭ͷ஥ؒ΁ՃΘΔͷͰ͢ɺݡ໌ͳΔਓͱ͸୭ͷ͜ͱͰ͔͢ʁʯΞϦϣʔγϟ͸΄ ͱΜͲܹ৘ʹ͔ΒΕͳ͕Βɺ͜͏ڣΜͩɺʮ൴Βʹ͸͚ͬͯͦ͠Μͳ஌ܙ΋ͳ͚Ε͹ɺͦΜͳਆൿͩͷൿີͩͷͱ͍͏΋ͷ΋͋Γ·ͤΜʜʜ͋Δͷ͸ͨͩɺແਆ࿦ͩ ͚Ͱ͢ɺͦΕ͕൴Βͷൿີͷશ෦Ͱ͢ɺܑ͞Μͷ࿝৹໰׭͸ਆΛݴ͍ͯ͡΍͠·ͤΜɺͦΕ͕࿝ਓͷൿີͷશ෦Ͱ͢ʂʯʮͦ͏ͩͱͯ͠΋ɺ͔·ΘΜΑʂɹ΍ͬͱ͓ ·͑΋ؾ͕͍ͭͨͬͯΘ͚ͩͶɺ͍΍ɺຊ౰ʹͦͷͱ͓ΓͳΜͩɺຊ౰ʹ൴ͷൿີ͸ͨͩͦͷதʹͷΈؚ·Ε͍ͯΔͷͩΑɺ͔͠͠ɺͦΕ͸൴ͷΑ͏ͳਓؒʹͱͬͯ ΋ۤ͠ΈͰ͸ͳ͍ͩΖ͏͔ɻ൴͸ߥ໺ʹ͓͚ΔۤߦͷͨΊʹࣗ෼ͷҰੜΛ๮ʹৼͬͯ͠·͍ͳ͕ΒɺͦΕͰ΋ਓྨʹର͢ΔѪͱ͍͏පΛɺ༊΍͢͜ͱ͕Ͱ͖ͳ͔ͬͨ ͷͩΑɻ΍ͬͱࣗ෼ͷੜ֔ͷ೔຅͝Ζʹͳͬͯɺ͋ͷڪΖ͍͠ਫ਼ྶͷקࠂ͚͕ͩɺ͍͘͡ͷͳ͍൓ٯऀͲ΋ΛʕʕʰᅑসͷͨΊʹ࡞ΒΕͨɺະ׬੒ͳࢼݧతੜ෺ʱΛɺ زΒ͔͠ͷ͗Α͍ڥ۰ʹ͓͘͜ͱ͕Ͱ͖Δɺͱ͍͏͜ͱΛ͸͖ͬΓͱ֬৴ͨ͠ͷͩɻͦΕΛ֬৴͢Δͱಉ࣌ʹɺݡ໌ͳΔਫ਼ྶɺڪΖ͍͠ࢮͱഁյͷਫ਼ྶͷͣ͞͠ʹैͬ ͯਐ·Ͷ͹ͳΒ͵ͱ͍͏͜ͱΛޛͬͨͷͩɻ͜ͷͨΊʹڏِͱ࠮ٗΛऔΓೖΕͯɺਓؒΛ͹ނҙʹࢮͱഁյ΁ಋ͖ɺ͔͠΋൴Β͕Ͳ͏͔ͨ͠͸ͣΈͰɺࣗ෼Βͷߦ͘ खʹײ͔ͮͳ͍Α͏ʹ͢Δඞཁ͕͋Δɺͭ·ΓɺͤΊͯͦͷ͍͚͋ͩͩͳΓͱɺ͜ͷѩΕͳ໡ਓͲ΋ʹɺࣗ෼Λ޾෱ͳ΋ͷͱࢥΘ͓ͤͯͨ͘ΊͳΜͩɻ͕ͩɺ஫ҙ͠ ͯཉ͍͜͠ͱ͸ɺ͜ͷڏِ΋ΩϦετͷ໊ͷͨΊͩͱ͍͏఺ͩΑɻ࿝ਓ͸ੜ֔ɺ೤྽ʹΩϦετͷཧ૝Λ৴͍ͯͨ͡ͷ͞ʂɹ͜ΕͰ΋ෆ޾Ͱ͸ͳ͔Ζ͏͔ʁɹ΋͠΋ ͋ͷʰ͚͕Εͨ޾෱ͷͨΊͷΈͷݖྗʹׇ͍ͯ͠Δʱ܉ୂͷ಄ʹɺ΄ΜͷҰਓͰ΋ɺ͜Μͳਓ෺͕ݱΘΕͨΒʕʕͦͷҰਓ͚ͩͰ΋൵ܶΛੜΉʹे෼͡Όͳ͍͔ʁɹ ͦΕ͹͔Γ͔ɺ͜Μͳਓ͕ͨͬͨҰਓͰ΋಄ʹཱ͍ͬͯͨΒɺϩʔϚͷࣄۀʢͦͷ܉ୂ΋ΤζΠλ೿΋ΈΜͳҾͬ͘ΔΊͯʣϩʔϚͷࣄۀʹର͢Δຊ౰ͷࢦಋతͳཧ ૝ΛੜΉʹे෼͡Όͳ͍͔ɺ๻͸͜͏அݴ͢Δʕʕ͜͏ͨ͠ʰ།Ұਓऀʱ͸ɺ͋ΒΏΔӡಈͷࢦಋऀͷ͍͋ͩʹɺࠓ·Ͱ͚ͬͯ͠ઈ͑ͨ͜ͱ͕ͳ͍ɻ͜ͱʹΑͬͨΒɺ ϩʔϚૐਖ਼ͷ͍͋ͩʹ΋ɺ͜ͷछͷ།Ұਓऀ͕ͳ͔ͬͨͱ΋ݶΒͳ͍͔Βͳ͋ɻͦΕͲ͜Ζ͔ɺ͜͏ͯ͠ඇৗʹࣥ፠ʹɺඇৗʹࣗݾྲྀʹਓྨΛѪ͍ͯ͠Δ͜ͷͷΖ͏ ΂͖࿝ਓ͸ɺಉ͡Α͏ͳʰ།Ұਓऀతʱ࿝ਓͷେ܈ूͷܗΛͱͬͯɺࠓ΋ݱʹଘࡏ͍ͯ͠Δ͔΋͠Εͳ͍ͷͩɺ͔͠΋ͦΕ͸͚ͬͯ͠ۮવͰ͸ͳ͘ɺͣͬͱલ͔Βൿ ີΛकΔͨΊʹ૊৫͞Εͨಉໍɺ΋͘͠͸ൿີ݁ࣾͱͯ͠ଘࡏ͍ͯ͠Δ͔΋͠Εͳ͍ɺ͜ͷൿີΛෆ޾ͳ͍͘͡ͷͳ͍ਓؒͲ΋͔ΒӅ͢ͷ͸ɺͭ·Γ൴ΒΛ޾෱ʹ͢ ΔͨΊͳΜͩɻͭ·Γ൴ΒΛ޾෱ʹ͢ΔͨΊͳΜͩɺ͜Ε͸ඞͣଘࡏ͢Δɺ·ͨଘࡏ͠ͳ͚Ε͹ͳΒͳ͍͸ͣͩΑɺ๻͸ͳΜ͔ͩϝʔιϯͷجૅʹ΋ɺԿ͔͜Μͳൿ ີʹྨͨ͠΋ͷ͕͋ΔΜ͡Όͳ͍͔ɺͱ͍͏Α͏ͳؾ͕͢ΔɺΧτϦοΫڭె͕ϝʔιϯ૊߹һΛ଀ΉΘ͚͸ɺ൴ΒΛࣗ෼ͷڝ૪ऀɺͭ·Γɺࣗ෼ͷཧ૝ͷ෼ׂऀͱ ݟΔ͔Βͩɺ༽ͷ܈Ε΋ҰͭͰͳͪ͘ΌͳΒͳ͍͠ɺ຀ऀ΋ҰਓͰͳͪ͘ΌͳΒͳ͍͔ΒͳʜʜͦΕ͸ͦ͏ͱɺ͜Μͳ෩ʹ๻͕ࣗ෼ͷࢥ૝Λหޢ͍ͯ͠ΔͱɺͲ͏΍ Β͓·͑ͷ൷ධʹ͖͚ͨͨͭΒΕͯ͠·ͬͨ࡞ऀͷΑ͏ͩͶɺ͋͞ɺ͜Μͳ͜ͱ͸΋͏ͨ͘͞ΜͩΑʯ ʮܑ͞Μ͸ɺ΋͔ͨ͠͠Βࣗ෼͕ϝʔιϯ͔΋͠Ε·ͤΜͶʂʯͱɺෆҙʹΞϦϣʔγϟ͸ޱΛ͢΂Βͤͨɺʮܑ͞Μ͸ਆΛ৴͍ͯ͡ͳ͍ͷͰ͢Αʯͱ൴͸ݴ͍଍͠ ͕ͨɺͦͷ੠͸΋͏ඇৗʹڧ͍൵͠ΈΛଳͼ͍ͯͨɻͦͷ͏͑൴ʹ͸ɺܑ͕ྫྷসతʹࣗ෼ΛோΊ͍ͯΔΑ͏ʹײ͡ΒΕͨɻʮͦΕͰɺܑ͞Μͷܶࢻ͸ͲΜͳ෩ʹ׬݁ ͢ΔΜͰ͢ʁʯͱɺෆҙʹ൴͸஍໘ΛݟͭΊͳ͕ΒਘͶͨɻʮͦΕͱ΋ɺ΋͏׬݁ͯ͠ΔΜͰ͔͢ʁʯ ͋͋ɺͦͷ࣌Ͱ͢ɻഎޙͷฌࣷͷ΄͏͔Βɺ୭΍Βۚ௤ͰఝΛଧͭԻ͕ɺ༓͔ʹɺ τΧτϯτϯͱฉ͑·ͨ͠ɻͦΕΛฉ͍ͨͱͨΜʹɺ؟͔Βྡྷ͕མͪΔͱ͸͋Μ ͳ࣌ͷײ͡Λݴ͏ͷͰ͠ΐ͏͔ɺ൵૖΋ݫॗ΋Ұॠͷ͏ͪʹফ͑ɺࢲ͸ጪ͖΋ͷ ͔Β཭ΕͨΑ͏ʹɺ͖ΐΖΓͱͳΓɺͳΜͱ΋Ͳ͏ʹ΋നʑ͍͠ؾ࣋ͰɺՆͷਅ னͷ࠭ݪΛோΊݟ౉͠ɺࢲʹ͸೗ԿͳΔײ֒΋ɺԿ΋Ұͭ΋༗Γ·ͤΜͰͨ͠ɻ ɹͦ͏ͯ͠ࢲ͸ɺϦϡοΫαοΫʹͨ͘͞Μͷ΋ͷΛͭΊࠐΜͰɺ΅Μ΍Γނڷ ʹؼؐ͠·ͨ͠ɻ ɹ͋ͷɺԕ͔͘Βฉ͑ͯདྷͨ༓͔ͳɺۚ௤ͷԻ͕ɺෆࢥٞͳ͘Β͍៉ྷʹࢲ͔Β ϛϦλϦζϜͷݬӨΛണ͗ͱͬͯ͘Εͯɺ΋͏࠶ͼɺ͋ͷ൵૖Β͍͠ݫॗΒ͍͠ ѱເʹਲΘ͞ΕΔͳΜͯࣄ͸ઈରʹແ͘ͳͬͨΑ͏Ͱ͕͢ɺ͔ͦ͠͠ͷখ͍͞Ի ͸ɺࢲͷ೴਷ͷۚతΛࣹ؏͍ͯ͠·ͬͨ΋ͷ͔ɺͦΕҎޙ͛Μ͍͟·Ͱଓ͍ͯɺ ࢲ͸࣮ʹҟ༷ͳɺ͍·Θ͍͠ᚖᚉ࣋ͪΈ͍ͨͳஉʹͳΓ·ͨ͠ɻ ɹͱݴͬͯ΋ܾͯ͠ɺڜ๫ͳൃ࡞ͳͲΛى͢ͱ͍͏Θ͚Ͱ͸͋Γ·ͤΜɻͦͷ൓ ରͰ͢ɻԿ͔෺ࣄʹײܹ͠ɺฃཱ͍ͱ͏ͱ͢ΔͱɺͲ͔͜Βͱ΋ແ͘ɺ༓͔ʹɺ τΧτϯτϯͱ͋ͷۚ௤ͷԻ͕ฉ͑ͯདྷͯɺͱͨΜʹࢲ͸͖ΐΖΓͱͳΓɺ؟લ ͷ෩ܠ͕·ΔͰ΋͏Ұมͯ͠͠·ͬͯɺө͕ࣸ;ͬͱதઈͯ͋͠ͱʹ͸ͨͩ७ന ͷεΫϦϯ͚͕ͩ࢒ΓɺͦΕΛ·͡·͡ͱோΊ͍ͯΔΑ͏ͳɺԿͱ΋͸͔ͳ͍ɺ  ϊΠζͱ଎౓ CQT ɹޗഐ͸ೣͰ͋Δɻ໊લ͸·ͩແ͍ɻ ɹͲ͜ͰੜΕ͔ͨͱΜͱݟ౰͕͔ͭ͵ɻԿͰ ΋ബ҉͍͡Ί͡Ίͨ͠ॴͰχϟʔχϟʔٽ͍ ͍ͯͨࣄ͚ͩ͸هԱ͍ͯ͠Δɻޗഐ͸͜͜Ͱ ࢝Ίͯਓؒͱ͍͏΋ͷΛݟͨɻ͔͠΋͋ͱͰ ฉ͘ͱͦΕ͸ॻੜͱ͍͏ਓؒதͰҰ൪ᘑѱͳ छ଒Ͱ͋ͬͨͦ͏ͩɻ͜ͷॻੜͱ͍͏ͷ͸࣌ʑ զʑΛั͑ͯࣽͯ৯͏ͱ͍͏࿩Ͱ͋Δɻ͔͠ ͦ͠ͷ౰࣌͸Կͱ͍͏ߟ΋ͳ͔͔ͬͨΒผஈ ڪ͍͠ͱ΋ࢥΘͳ͔ͬͨɻͨͩ൴ͷঠʹࡌͤ ΒΕͯεʔͱ্࣋ͪ͛ΒΕͨ࣌Կ͔ͩϑϫϑ ϫͨ͠ײ͕͋ͬͨ͡͹͔ΓͰ͋Δɻঠͷ্Ͱ গ͠མ͍ͪͭͯॻੜͷإΛݟͨͷ͕͍ΘΏΔ ਓؒͱ͍͏΋ͷͷݟ࢝Ͱ͋Ζ͏ɻ͜ͷ࣌ົͳ ΋ͷͩͱࢥͬͨײ͕͡ࠓͰ΋࢒͍ͬͯΔɻୈ ҰໟΛ΋ͬͯ૷০͞Ε΂͖͸ͣͷإ͕ͭΔͭ Δͯ͠·ΔͰༀ؈ͩɻͦͷޙೣʹ΋͍ͩͿѭͬ ͕ͨ͜Μͳยྠʹ͸Ұ౓΋ग़ձΘͨ͠ࣄ͕ͳ ͍ɻͷΈͳΒͣإͷਅத͕͋·Γʹಥىͯ͠ ͍Δɻͦ͏ͯͦ͠ͷ݀ͷத͔Β࣌ʑ΀͏΀͏ ͱԎΛਧ͘ɻͲ͏΋ҺͤΆ࣮ͯ͘ʹऑͬͨɻ ͜Ε͕ਓؒͷҿΉԎ૲ͱ͍͏΋ͷͰ͋Δࣄ͸ ɹޗഐ͸ೣͰ͋Δɻ໊લ ͸·ͩແ͍ɻ ɹͲ͜ͰੜΕ͔ͨͱΜͱ ݟ౰͕͔ͭ͵ɻԿͰ΋ബ ҉͍͡Ί͡Ίͨ͠ॴͰ χϟʔχϟʔٽ͍͍ͯͨ ࣄ͚ͩ͸هԱ͍ͯ͠Δɻ ޗഐ͸͜͜Ͱ࢝Ίͯਓؒ ͱ͍͏΋ͷΛݟͨɻ͔͠ ΋͋ͱͰฉ͘ͱͦΕ͸ॻ ੜͱ͍͏ਓؒதͰҰ൪ᘑ ѱͳछ଒Ͱ͋ͬͨͦ͏ͩɻ ϊΠζʢଞͷ௨৴ʣʹຒ΋ΕͨΒ஗͍΄͏͕༗ར
  9. ʮ·͋ɺ଴ͯΑɺ଴ͯͬʯͱΠϫϯ͸সͬͯɺʮ͍΍ʹٯ্͕ͤΔ͡Όͳ͍͔ɺ͓·͕͑ݬ૝ͱݴ͏ΜͳΒɺͦΕͰ΋͍͍ΑʂɹΉΖΜɺݬ૝͞ɺ͕ͩͳɺ͓·͑͸ ຊ౰ʹɺۙੈͷΧτϦοΫڭͷӡಈͷશ෦͕ɺ͚͕Εͨ޾෱ͷΈΛ໨తͱ͢Δݖྗͷر๬ʹ͗͢ͳ͍ͱࢥͬͯΔͷ͔͍ʁɹ͍ͦͭ͸ύΠʔγΠਆ෕ʹͰ΋ڭΘͬͨ͜ ͱ͡Όͳ͍͔ͳʁʯʮ͍͍͑ɺ͍͍͑ɺ൓ରʹɺύΠʔγΠਆ෕͸͍͔ͭͩͬͨɺܑ͞Μͱಉ͡Α͏ͳ͜ͱΛݴΘΕͨ͜ͱ͑͋͞Γ·͢Αʜʜ͔͠͠ɺΉΖΜҧ͍· ͢ɺ·ΔͰҧ͍·͢ΑʯͱɺΞϦϣʔγϟ͸͋Θͯͯݴ͍ͳ͓ͨ͠ɻʮ͍΍ɺ͍ͦͭ͸ɺ͓·͕͑ʰ·ΔͰҧ͏ʱͱݴͬͨͱ͜ΖͰɺͳ͔ͳ͔وॏͳใࠂͩͥɻͦ͜ ͰҰ͓ͭ·͑ʹฉ͖͍ͨͷ͸ͶɺͲ͏͍͏Θ͚Ͱ͓·͑ͷ͍͏ΤζΠλ΍৹໰׭ͨͪ͸ɺͨͩ෺࣭తͳ൰͍͠޾෱ͷͨΊͷΈʹஂ݁ͨ͠ͱ͍͏Μ͍ͩʁɹͳͥ൴Βͷ ͳ͔ʹ͸ɺҒେͳΔ༕यʹ೰Έͳ͕ΒɺਓྨΛѪ͢Δड೉ऀ͕Ұਓ΋͍ͳ͍ͱ͍͏ͷ͍ͩʁɹͶɺ͚͕Εͨ෺࣭త޾෱ΛͷΈׇڼ͍ͯ͠Δɺ͜͏͍͏࿈தͷͳ͔ʹ΋ɺ ͤΊͯҰਓ͙Β͍ɺ๻ͷ࿝৹໰׭ͷΑ͏ͳਓ͕͋ͬͨͱ૝૾ͯ͠΋͍͍͡Όͳ͍͔ɺ൴͸ߥ໺Ͱ૲ͷࠜΛ৯͍ͳ͕ΒɺΈ͔ͣΒࣗ༝ͳ׬શͳ΋ͷʹͳΔͨΊʹɺࣗ෼ ͷ೑ମΛ੐෰͠Α͏ͱͯ͠ڰຉͨ͠ͷ͕ͩɺਓྨΛѪ͢Δ೦ʹ͸ੜ֔มΘΓ͕ͳ͔ͬͨͷ͞ɻͱ͜Ζ͕ɺҰேɺࠌવͱͯ͠ҙࢤͷ׬੒ʹ౸ୡ͢Δͱ͍͏ਫ਼ਆతͳ޾෱ ͸ͦΕ΄ͲҒେͳ΋ͷͰ͸ͳ͍ɺͱ͍͏͜ͱΛେޛͨ͠ͷͩɻͦΕ͸ɺҙࢤͷ׬੒ʹ౸ୡͨ࣌͠ʹ͸ɺࣗ෼Ҏ֎ͷ਺ԯͷਆͷࢠ͕ɺͨͩᅑসͷର৅෺ͱͳͬͯ͠·͏ɺ ͱ͍͏͜ͱΛೝΊ͟ΔΛಘͳ͍͔Βͩɻશ͘൴Β͸ࣗ෼ͷࣗ༝ΛͲ͏ॲஔ͍͍͔ͯ͠΋Θ͔Βͳ͍ͷͩɺ͜͏͍͏ѩΕͳ๫ెͷத͔ΒɺόϏϩϯͷౝΛ׬੒͢Δڊਓ

    ͕ग़ͯདྷΑ͏͸ͣ͸ͳ͍ɺʰҒେͳΔཧ૝Ոʱ͕ɺ͔ͷௐ࿨ΛເΈͨͷ͸ɺ͜Μͳ᳕ௗͷΑ͏ͳ࿈தͷͨΊͰ͸ͳ͍ɺ͜͏͍͏͜ͱΛޛͬͨͷͰɺ൴͸Ҿͬฦͯ͠ʜʜ ݡ໌ͳΔਓʑͷ஥ʹՃΘͬͨΘ͚͕ͩɺͦΜͳ͜ͱ͸͋Γಘͳ͍ͱ͍͏ͷ͔͑ʁʯʮ୭ͷ஥ؒ΁ՃΘΔͷͰ͢ɺݡ໌ͳΔਓͱ͸୭ͷ͜ͱͰ͔͢ʁʯΞϦϣʔγϟ͸΄ ͱΜͲܹ৘ʹ͔ΒΕͳ͕Βɺ͜͏ڣΜͩɺʮ൴Βʹ͸͚ͬͯͦ͠Μͳ஌ܙ΋ͳ͚Ε͹ɺͦΜͳਆൿͩͷൿີͩͷͱ͍͏΋ͷ΋͋Γ·ͤΜʜʜ͋Δͷ͸ͨͩɺແਆ࿦ͩ ͚Ͱ͢ɺͦΕ͕൴Βͷൿີͷશ෦Ͱ͢ɺܑ͞Μͷ࿝৹໰׭͸ਆΛݴ͍ͯ͡΍͠·ͤΜɺͦΕ͕࿝ਓͷൿີͷશ෦Ͱ͢ʂʯʮͦ͏ͩͱͯ͠΋ɺ͔·ΘΜΑʂɹ΍ͬͱ͓ ·͑΋ؾ͕͍ͭͨͬͯΘ͚ͩͶɺ͍΍ɺຊ౰ʹͦͷͱ͓ΓͳΜͩɺຊ౰ʹ൴ͷൿີ͸ͨͩͦͷதʹͷΈؚ·Ε͍ͯΔͷͩΑɺ͔͠͠ɺͦΕ͸൴ͷΑ͏ͳਓؒʹͱͬͯ ΋ۤ͠ΈͰ͸ͳ͍ͩΖ͏͔ɻ൴͸ߥ໺ʹ͓͚ΔۤߦͷͨΊʹࣗ෼ͷҰੜΛ๮ʹৼͬͯ͠·͍ͳ͕ΒɺͦΕͰ΋ਓྨʹର͢ΔѪͱ͍͏පΛɺ༊΍͢͜ͱ͕Ͱ͖ͳ͔ͬͨ ͷͩΑɻ΍ͬͱࣗ෼ͷੜ֔ͷ೔຅͝Ζʹͳͬͯɺ͋ͷڪΖ͍͠ਫ਼ྶͷקࠂ͚͕ͩɺ͍͘͡ͷͳ͍൓ٯऀͲ΋ΛʕʕʰᅑসͷͨΊʹ࡞ΒΕͨɺະ׬੒ͳࢼݧతੜ෺ʱΛɺ زΒ͔͠ͷ͗Α͍ڥ۰ʹ͓͘͜ͱ͕Ͱ͖Δɺͱ͍͏͜ͱΛ͸͖ͬΓͱ֬৴ͨ͠ͷͩɻͦΕΛ֬৴͢Δͱಉ࣌ʹɺݡ໌ͳΔਫ਼ྶɺڪΖ͍͠ࢮͱഁյͷਫ਼ྶͷͣ͞͠ʹैͬ ͯਐ·Ͷ͹ͳΒ͵ͱ͍͏͜ͱΛޛͬͨͷͩɻ͜ͷͨΊʹڏِͱ࠮ٗΛऔΓೖΕͯɺਓؒΛ͹ނҙʹࢮͱഁյ΁ಋ͖ɺ͔͠΋൴Β͕Ͳ͏͔ͨ͠͸ͣΈͰɺࣗ෼Βͷߦ͘ खʹײ͔ͮͳ͍Α͏ʹ͢Δඞཁ͕͋Δɺͭ·ΓɺͤΊͯͦͷ͍͚͋ͩͩͳΓͱɺ͜ͷѩΕͳ໡ਓͲ΋ʹɺࣗ෼Λ޾෱ͳ΋ͷͱࢥΘ͓ͤͯͨ͘ΊͳΜͩɻ͕ͩɺ஫ҙ͠ ͯཉ͍͜͠ͱ͸ɺ͜ͷڏِ΋ΩϦετͷ໊ͷͨΊͩͱ͍͏఺ͩΑɻ࿝ਓ͸ੜ֔ɺ೤྽ʹΩϦετͷཧ૝Λ৴͍ͯͨ͡ͷ͞ʂɹ͜ΕͰ΋ෆ޾Ͱ͸ͳ͔Ζ͏͔ʁɹ΋͠΋ ͋ͷʰ͚͕Εͨ޾෱ͷͨΊͷΈͷݖྗʹׇ͍ͯ͠Δʱ܉ୂͷ಄ʹɺ΄ΜͷҰਓͰ΋ɺ͜Μͳਓ෺͕ݱΘΕͨΒʕʕͦͷҰਓ͚ͩͰ΋൵ܶΛੜΉʹे෼͡Όͳ͍͔ʁɹ ͦΕ͹͔Γ͔ɺ͜Μͳਓ͕ͨͬͨҰਓͰ΋಄ʹཱ͍ͬͯͨΒɺϩʔϚͷࣄۀʢͦͷ܉ୂ΋ΤζΠλ೿΋ΈΜͳҾͬ͘ΔΊͯʣϩʔϚͷࣄۀʹର͢Δຊ౰ͷࢦಋతͳཧ ૝ΛੜΉʹे෼͡Όͳ͍͔ɺ๻͸͜͏அݴ͢Δʕʕ͜͏ͨ͠ʰ།Ұਓऀʱ͸ɺ͋ΒΏΔӡಈͷࢦಋऀͷ͍͋ͩʹɺࠓ·Ͱ͚ͬͯ͠ઈ͑ͨ͜ͱ͕ͳ͍ɻ͜ͱʹΑͬͨΒɺ ϩʔϚૐਖ਼ͷ͍͋ͩʹ΋ɺ͜ͷछͷ།Ұਓऀ͕ͳ͔ͬͨͱ΋ݶΒͳ͍͔Βͳ͋ɻͦΕͲ͜Ζ͔ɺ͜͏ͯ͠ඇৗʹࣥ፠ʹɺඇৗʹࣗݾྲྀʹਓྨΛѪ͍ͯ͠Δ͜ͷͷΖ͏ ΂͖࿝ਓ͸ɺಉ͡Α͏ͳʰ།Ұਓऀతʱ࿝ਓͷେ܈ूͷܗΛͱͬͯɺࠓ΋ݱʹଘࡏ͍ͯ͠Δ͔΋͠Εͳ͍ͷͩɺ͔͠΋ͦΕ͸͚ͬͯ͠ۮવͰ͸ͳ͘ɺͣͬͱલ͔Βൿ ີΛकΔͨΊʹ૊৫͞Εͨಉໍɺ΋͘͠͸ൿີ݁ࣾͱͯ͠ଘࡏ͍ͯ͠Δ͔΋͠Εͳ͍ɺ͜ͷൿີΛෆ޾ͳ͍͘͡ͷͳ͍ਓؒͲ΋͔ΒӅ͢ͷ͸ɺͭ·Γ൴ΒΛ޾෱ʹ͢ ΔͨΊͳΜͩɻͭ·Γ൴ΒΛ޾෱ʹ͢ΔͨΊͳΜͩɺ͜Ε͸ඞͣଘࡏ͢Δɺ·ͨଘࡏ͠ͳ͚Ε͹ͳΒͳ͍͸ͣͩΑɺ๻͸ͳΜ͔ͩϝʔιϯͷجૅʹ΋ɺԿ͔͜Μͳൿ ີʹྨͨ͠΋ͷ͕͋ΔΜ͡Όͳ͍͔ɺͱ͍͏Α͏ͳؾ͕͢ΔɺΧτϦοΫڭె͕ϝʔιϯ૊߹һΛ଀ΉΘ͚͸ɺ൴ΒΛࣗ෼ͷڝ૪ऀɺͭ·Γɺࣗ෼ͷཧ૝ͷ෼ׂऀͱ ݟΔ͔Βͩɺ༽ͷ܈Ε΋ҰͭͰͳͪ͘ΌͳΒͳ͍͠ɺ຀ऀ΋ҰਓͰͳͪ͘ΌͳΒͳ͍͔ΒͳʜʜͦΕ͸ͦ͏ͱɺ͜Μͳ෩ʹ๻͕ࣗ෼ͷࢥ૝Λหޢ͍ͯ͠ΔͱɺͲ͏΍ Β͓·͑ͷ൷ධʹ͖͚ͨͨͭΒΕͯ͠·ͬͨ࡞ऀͷΑ͏ͩͶɺ͋͞ɺ͜Μͳ͜ͱ͸΋͏ͨ͘͞ΜͩΑʯ ʮܑ͞Μ͸ɺ΋͔ͨ͠͠Βࣗ෼͕ϝʔιϯ͔΋͠Ε·ͤΜͶʂʯͱɺෆҙʹΞϦϣʔγϟ͸ޱΛ͢΂Βͤͨɺʮܑ͞Μ͸ਆΛ৴͍ͯ͡ͳ͍ͷͰ͢Αʯͱ൴͸ݴ͍଍͠ ͕ͨɺͦͷ੠͸΋͏ඇৗʹڧ͍൵͠ΈΛଳͼ͍ͯͨɻͦͷ͏͑൴ʹ͸ɺܑ͕ྫྷসతʹࣗ෼ΛோΊ͍ͯΔΑ͏ʹײ͡ΒΕͨɻʮͦΕͰɺܑ͞Μͷܶࢻ͸ͲΜͳ෩ʹ׬݁ ͢ΔΜͰ͢ʁʯͱɺෆҙʹ൴͸஍໘ΛݟͭΊͳ͕ΒਘͶͨɻʮͦΕͱ΋ɺ΋͏׬݁ͯ͠ΔΜͰ͔͢ʁʯ  ϊΠζͱ଎౓ CQT ɹޗഐ͸ೣͰ͋Δɻ໊લ͸·ͩແ͍ɻ ɹͲ͜ͰੜΕ͔ͨͱΜͱݟ౰͕͔ͭ͵ɻԿͰ ΋ബ҉͍͡Ί͡Ίͨ͠ॴͰχϟʔχϟʔٽ͍ ͍ͯͨࣄ͚ͩ͸هԱ͍ͯ͠Δɻޗഐ͸͜͜Ͱ ࢝Ίͯਓؒͱ͍͏΋ͷΛݟͨɻ͔͠΋͋ͱͰ ฉ͘ͱͦΕ͸ॻੜͱ͍͏ਓؒதͰҰ൪ᘑѱͳ छ଒Ͱ͋ͬͨͦ͏ͩɻ͜ͷॻੜͱ͍͏ͷ͸࣌ʑ զʑΛั͑ͯࣽͯ৯͏ͱ͍͏࿩Ͱ͋Δɻ͔͠ ͦ͠ͷ౰࣌͸Կͱ͍͏ߟ΋ͳ͔͔ͬͨΒผஈ ڪ͍͠ͱ΋ࢥΘͳ͔ͬͨɻͨͩ൴ͷঠʹࡌͤ ΒΕͯεʔͱ্࣋ͪ͛ΒΕͨ࣌Կ͔ͩϑϫϑ ϫͨ͠ײ͕͋ͬͨ͡͹͔ΓͰ͋Δɻঠͷ্Ͱ গ͠མ͍ͪͭͯॻੜͷإΛݟͨͷ͕͍ΘΏΔ ਓؒͱ͍͏΋ͷͷݟ࢝Ͱ͋Ζ͏ɻ͜ͷ࣌ົͳ ΋ͷͩͱࢥͬͨײ͕͡ࠓͰ΋࢒͍ͬͯΔɻୈ ҰໟΛ΋ͬͯ૷০͞Ε΂͖͸ͣͷإ͕ͭΔͭ Δͯ͠·ΔͰༀ؈ͩɻͦͷޙೣʹ΋͍ͩͿѭͬ ͕ͨ͜Μͳยྠʹ͸Ұ౓΋ग़ձΘͨ͠ࣄ͕ͳ ͍ɻͷΈͳΒͣإͷਅத͕͋·Γʹಥىͯ͠ ͍Δɻͦ͏ͯͦ͠ͷ݀ͷத͔Β࣌ʑ΀͏΀͏ ͱԎΛਧ͘ɻͲ͏΋ҺͤΆ࣮ͯ͘ʹऑͬͨɻ ͜Ε͕ਓؒͷҿΉԎ૲ͱ͍͏΋ͷͰ͋Δࣄ͸ ɹޗഐ͸ೣͰ͋Δɻ໊લ ͸·ͩແ͍ɻ ɹͲ͜ͰੜΕ͔ͨͱΜͱ ݟ౰͕͔ͭ͵ɻԿͰ΋ബ ҉͍͡Ί͡Ίͨ͠ॴͰ χϟʔχϟʔٽ͍͍ͯͨ ࣄ͚ͩ͸هԱ͍ͯ͠Δɻ ޗഐ͸͜͜Ͱ࢝Ίͯਓؒ ͱ͍͏΋ͷΛݟͨɻ͔͠ ΋͋ͱͰฉ͘ͱͦΕ͸ॻ ੜͱ͍͏ਓؒதͰҰ൪ᘑ ѱͳछ଒Ͱ͋ͬͨͦ͏ͩɻ ͋͋ɺͦͷ࣌Ͱ͢ɻഎޙͷฌࣷͷ΄͏͔Βɺ୭΍Βۚ௤ͰఝΛଧͭԻ͕ɺ༓͔ʹɺ τΧτϯτϯͱฉ͑·ͨ͠ɻͦΕΛฉ͍ͨͱͨΜʹɺ؟͔Βྡྷ͕མͪΔͱ͸͋Μ ͳ࣌ͷײ͡Λݴ͏ͷͰ͠ΐ͏͔ɺ൵૖΋ݫॗ΋Ұॠͷ͏ͪʹফ͑ɺࢲ͸ጪ͖΋ͷ ͔Β཭ΕͨΑ͏ʹɺ͖ΐΖΓͱͳΓɺͳΜͱ΋Ͳ͏ʹ΋നʑ͍͠ؾ࣋ͰɺՆͷਅ னͷ࠭ݪΛோΊݟ౉͠ɺࢲʹ͸೗ԿͳΔײ֒΋ɺԿ΋Ұͭ΋༗Γ·ͤΜͰͨ͠ɻ ɹͦ͏ͯ͠ࢲ͸ɺϦϡοΫαοΫʹͨ͘͞Μͷ΋ͷΛͭΊࠐΜͰɺ΅Μ΍Γނڷ ʹؼؐ͠·ͨ͠ɻ ɹ͋ͷɺԕ͔͘Βฉ͑ͯདྷͨ༓͔ͳɺۚ௤ͷԻ͕ɺෆࢥٞͳ͘Β͍៉ྷʹࢲ͔Β ϛϦλϦζϜͷݬӨΛണ͗ͱͬͯ͘Εͯɺ΋͏࠶ͼɺ͋ͷ൵૖Β͍͠ݫॗΒ͍͠ ѱເʹਲΘ͞ΕΔͳΜͯࣄ͸ઈରʹແ͘ͳͬͨΑ͏Ͱ͕͢ɺ͔ͦ͠͠ͷখ͍͞Ի ͸ɺࢲͷ೴਷ͷۚతΛࣹ؏͍ͯ͠·ͬͨ΋ͷ͔ɺͦΕҎޙ͛Μ͍͟·Ͱଓ͍ͯɺ ࢲ͸࣮ʹҟ༷ͳɺ͍·Θ͍͠ᚖᚉ࣋ͪΈ͍ͨͳஉʹͳΓ·ͨ͠ɻ ɹͱݴͬͯ΋ܾͯ͠ɺڜ๫ͳൃ࡞ͳͲΛى͢ͱ͍͏Θ͚Ͱ͸͋Γ·ͤΜɻͦͷ൓ ରͰ͢ɻԿ͔෺ࣄʹײܹ͠ɺฃཱ͍ͱ͏ͱ͢ΔͱɺͲ͔͜Βͱ΋ແ͘ɺ༓͔ʹɺ τΧτϯτϯͱ͋ͷۚ௤ͷԻ͕ฉ͑ͯདྷͯɺͱͨΜʹࢲ͸͖ΐΖΓͱͳΓɺ؟લ ͷ෩ܠ͕·ΔͰ΋͏Ұมͯ͠͠·ͬͯɺө͕ࣸ;ͬͱதઈͯ͋͠ͱʹ͸ͨͩ७ന ͷεΫϦϯ͚͕ͩ࢒ΓɺͦΕΛ·͡·͡ͱோΊ͍ͯΔΑ͏ͳɺԿͱ΋͸͔ͳ͍ɺ ࣗ෼ͷ௨৴͸ଞऀͷ௨৴ʹͱͬͯϊΠζͱͳΔ
  10.  ϊΠζͱ଎౓ CQT ৴߸ͷ඼࣭(S/N)ʹ ৴߸ిྗ ϊΠζిྗ ৴߸ిྗΛߴΊΔʹ͸ wૹ৴ػΛϋΠύϫʔͳ΋ͷʹ͢Δ wड৴ػͷײ౓ΛߴΊΔ wΞϯςφͷࢦ޲ੑΛߴΊͯແବͳํ޲ʹి೾ΛૹΒͳ͍

    ϊΠζిྗΛԼ͛Δʹ͸ wແؔ܎ͳଞͷແઢہΛϩʔύϫʔʹͯ͠΋Β͏ wΞϯςφͷࢦ޲ੑΛߴΊͯແବͳํ޲ͷϊΠζΛरΘͳ͍ wड৴ػ಺෦΍ࣗવքͰൃੜ͢ΔϊΠζΛ௿ݮ͢Δ
  11.  MIMO ͭͷ৴߸(s1, s2)Λಉ࣌ʹૹड৴͍ͨ͠ ड৴ଆͷΞϯςφͰ͸s1, s2 ͕ࠞͬͯ͟ड৴͞ΕΔ ఻ૹ࿏͕ͭ͋ΓɺͦͷԠ౴Λௐ΂͓ͯ͘ ఻ૹ࿏͕ط஌ͳΒs1, s2

    ʹؔ͢Δ࿈ཱํఔࣜΛղ͚Δ ୺຤Ͱs1, s2 ͕෼཭Ͱ͖Δ ଳҬ෯͕ഒʹͳͬͨɺΊͰͨ͠ s1 s2 h11 h21 h12 h22 h11s1ʴh12s2 h21s1ʴh22s2
  12.  MIMO ΋͠Ξϯςφ͕෺ཧతʹ཭Ε͍ͯͳ͔ͬͨΒ  ఻ૹ࿏ͷۭؒ૬ؔߴ s1 s2 h11 h21 h12

    h22 h11s1ʴh12s2 h21s1ʴh22s2 Ξϯςφ͕͍ۙͱ w ૬ޓʹճΓࠐΈ͕ൃੜͯ͠෼཭͕೉͘͠ͳΓɺಛੑ͕ྼԽ͢Δ w 0.5Е͘Β͍͸཭͍ͨ͠ w Ͱ΋ΞϯςφΛ཭͢ͱ୺຤ͷখܕԽ͕೉͘͠ͳΔ w MIMOετϦʔϜ਺ Ξϯςφ਺ Λ૿΍͢ͱ͞ΒʹখܕԽ͕೉͍͠ ͦ΋ͦ΋෼཭ͷܭࢉ͕͚ͬ͜͏େมͳͷͰ͢ΑͶʜͦΕͳΒ͹ʜ
  13.  MIMO ͭͷ৴߸(s1, s2)Λಉ࣌ʹૹड৴͍ͨͦ͠ͷ ఻ૹ࿏͕ͭ͋Γɺ୺຤͸ͦͷԠ౴Λௐ΂ͯAPʹૹΓฦ͢ AP͸఻ૹ࿏ͷԠ౴͕Θ͔͍ͬͯΔͷͰɺ୺຤ͷͦΕͧΕͷड ৴ΞϯςφͰs1, s2 ͕෼཭ͣΈʹͳΔΑ͏ʹ ɺσʔλૹ৴લʹ

    ࣄલՃ޻͔ͯ͠Βૹ৴͢Δ ୺຤ଆͰ෼཭ͷܭࢉΛ͠ͳͯ͘Α͍ͷͰলిྗԽʹ༗ར 
  ୺຤ͷΞϯςφͷ͏ͪɺड৴ର৅Ͱͳ͍΄͏ͷΞϯςφͰిྗ͕࠷খ OVMM ʹͳΔΑ͏ʹՃ޻͢Δ s1 s2 h11 h21 h12 h22 s1 s2 [H]
  14.  ϏʔϜϑΥʔϛϯά ఻ૹ࿏͕ଟ਺͋Γɺ୺຤͸ͦͷԠ౴Λௐ΂ͯ"1ʹૹΓฦ͢ "1͸఻ૹ࿏ͷԠ౴͕Θ͔͍ͬͯΔͷͰɺ୺຤ͷͦΕͧΕͷड৴Ξϯ ςφͰs ͕࠷େͷి೾ڧ౓ʹͳΔΑ͏ʹࣄલՃ޻͔ͯ͠Βૹ৴͢Δ  ׯব΍นͷ൓ࣹͰ೾ͷೱ୶Λ͏·͘࡞ͬͯɺ୺຤ͷଘࡏ͢Δ৔ॴͷ ೾͕ڧ͘ͳΔΑ͏ʹ͢Δ s1

    s2 [H] s1 s2 s3 นͷ൓ࣹ MIMOͷΑ͏ʹෳ਺ͷૹ৴ػ͔Βಉ࣌ૹ৴͢ΔͷͰ͸ͳ͘ɺΞϨΠΞϯςφΛΞφϩάతʹεΠονϯάͯ͠ࢦ޲ ੑΛ࡞Δํ๏΋͋Γ·͢ɻ ׯব΍൓ࣹͷ߹੒Λຯํʹ͚ͭͯ೾͕ڧ͘ͳΔͱ͜ΖΛ࡞Δ
  15.  DFS Ϩʔμʔͷి೾͕ଘࡏͨ͠Βૹ৴ͯ͠͸͍͚ͳ͍ w 5GHzଳʹ͸ઌ٬Ͱ͋Δؾ৅Ϩʔμʔ͕͋ΔͨΊɺϨʔμʔ͕͍ͨΒผͷϨʔμʔ ͕͍ͳ͍νϟωϧʹมߋ͢Δٛ຿͕͋Δ w Ϩʔμʔ͕͍ͳ͍͜ͱΛ࠷௿෼ؒ͸֬ೝ͢Δٛ຿͕͋Γɺ෼ؒҎ্Կ΋ૹ৴Ͱ ͖ͳ͘ͳΔͨΊɺ઀ଓ్͕੾ΕΔݪҼͱͳΔ w

    802.11a,20MHz෯Ͱ࢖͍ͬͯͨͱ͖͸νϟωϧʹ༨༟͕͕͋ͬͨɺνϟωϧϘϯ σΟϯάʹΑͬͯόϯυ෯Λ޿͘࢖͏Α͏ʹͳΓɺDFSͷӨڹΛड͚΍͘͢ͳͬͨ w ࠷ۙͷ੡඼Ͱ͸Ϩʔμʔ೾͕ݕग़͞ΕͨΒνϟωϧϘϯσΟϯάΛϑΥʔϧόο Ϋͯ͠ॖୀͭͭ͠ఀ೾͸ආ͚ΔΑ͏ʹͳ͍ͬͯͨΓɺϨʔμʔ೾Λݕग़͢Δલ͔ ΒଞͷνϟωϧΛεΩϟϯ͓͖ͯ͠ɺͰ͖Δ͚ͩఀ೾͠ͳ͍ͰνϟωϧΛมߋ͢ Δٕज़͕༻͍ΒΕ͍ͯΔ
  16. Captive Portalͷ໰୊  w TLSΤϥʔ w httpsΛԣऔΓ͢Δ w Τϥʔ͕ग़ͯ΋ଓߦ͢Δश׳͕͍ͭͯ͠·͏ w

    ϒϥ΢βҎ֎ͷ୺຤ w εϚʔτϑΥϯͷΞϓϦͳͲɺΠϯλʔωοτ઀ଓΛ ཁٻ͢Δ͕httpͷԣऔΓ͕ෆՄೳͳ΋ͷ w IoTσόΠεͳͲදࣔ΍ೖྗೳྗͷͳ͍୺຤
  17. Captive Portal Detection  w Webϒϥ΢βͰͳͯ͘΋࢖͑ΔΑ͏ɺOSଆͰCaptive- Portal Λѻ͏࢓૊Έ w ͜Μͳը໘͕Լ͔ΒχϣΩͬͱग़ͯ͘Δˠ

    w ͞·͟·ͳ࣮૷ͷCaptive Portal͕͋Δ w OS͸Ͳ͏΍ͬͯݕग़͢Δ  w Ͳ͏΍ͬͯදࣔೖྗ͢Δ  w Ͳ͏ͳͬͨΒ઀ଓ੒ޭ  w ׬શͳdetection͕ࠔ೉
  18. Captive Portal Detection  w ΍͍ͬͯΔ͜ͱ͕man-in-the-middle attack ͔ͩΒ ͦ΋ͦ΋ແཧ͕͋Δ w

    Captive Portal ͷ࣮૷͕͹Β͹Β w खॱ͕໌֬ʹͳ͍ͬͯΕ͹ݕग़΋ͪΌΜͱͰ͖Δ w खॱ͕໌֬ʹͳ͍ͬͯΕ͹httpΛԣऔΓͳΜͯཪٕ Έ͍ͨͳ͜ͱΛ͠ͳͯ͘΋Α͘ͳΔ
  19. ྫ͑͹ɺ֗ͷΧϑΣܦӦऀ͕͓٬͞Μ ΁αʔϏεͱͯ͠Πϯλʔωοτ઀ଓ ΛແྉͰఏڙ͍ͨ͠৔߹ɺͲ͏͢Δ w ՈిྔൢళͰແઢ-"/ϧʔλΛങ͖ͬͯͯઃஔ͠14,Λڭ͑Δ  w ͜ͷճઢ͔Βѱ͞Λ͢Δਓ͕͍ͨΒ  w

    Ոఉ༻ػث͸ϩάΛ࢒͠ʹ͍͘ w ళ֎΁࿙Εͨి೾͔Β઀ଓ͍ͯ͠Δ͔΋͠Εͳ͍ w ެऺແઢ-"/ͷಋೖ w ແྉ͸೉͍͔͠΋͠Εͳ͍ w ݸਓܦӦͷళͰ͸೉͍͔͠΋͠Εͳ͍  ͚ͩ͜͜ͷ࿩ɺ։ࣔ੥ٻ͸ҙ֎ͱདྷ·͢ɻ ͚ͬ͜͏ΊΜͲ͏Ͱ͢ʜ
  20. ແઢ-"/ͷ઀ଓखॱ ୺຤͕"1Λ୳͢ w "1͔Βఆظతʹ์ૹ͞ΕΔϏʔίϯϑϨʔϜΛड৴
 डಈతͳݕग़  ·ͨ͸ w ୺຤͕ Probe

    Request ϑϨʔϜΛૹ৴͠"1͕Ԡ౴ͨ͠ Probe Response Λ୺຤͕ड৴
 ೳಈతͳݕग़  ୺຤͕"1ͷҰཡΛදࣔ Ϣʔβ͕"1Λબ୒ ೝূ ઀ଓ׬ྃ ୺຤ʹ઀ଓΛهԱ ΋Մೳ 
  21. Probe Request ʹؚ·ΕΔ಺༰  w ͜ͷΑ͏ʹҰ౓ʹෳ਺ͷSSID΁Probe RequestΛૹ৴͢ Δ͜ͱ͕͋Δ w MACΞυϨεͱSSIDͷ૊Έ߹Θͤ୯ମͰ͸͋·Γҙຯ

    Λͳ͞ͳ͔ͬͨϑϨʔϜ͕ɺ໊دͤͷՄೳੑΛ͓ͼͯ ͘Δ w ͜ͷྫͰ͸زͭ΋ͷγΣΞΦϑΟεʹग़ೖΓ͍ͯ͠Δ ͜ͱɺಛఆͷݸਓͱަ༑ؔ܎ʹ͋Δ͜ͱ͕ਪଌͰ͖Δ
  22. Probe Request ʹؚ·ΕΔ಺༰  w ESSID(͍ΘΏΔSSID ؚ͕·ΕΔ͕ɺBSSID(APͷMACΞυϨε ͸ؚ·Εͳ͍ w Α͋͘ΔSSIDͳΒࣝผͰ͖ͳ͍

    w SSID಺ʹBSSIDؚ͕·ΕΔ΋ͷ͸׬શʹϢχʔΫ w BSSID͔ΒAPͷҐஔ৘ใΛҾ͚ͯ͠·͏
 https://developers.google.com/maps/documentation/geolocation/
 Ұൠతʹެ։͞Ε͍ͯΔ"1*Ͱ͸#44*%͕ͭҎ্ඞཁ͕ͩɺϓϥΠϕʔτ"1*Ͱ͸ͭͰҾ͚Δ΋ͷ΋͋Δ  w ͨͱ͑͹00005E0053FF_AͷΑ͏ͳSSID͸ઃஔ৔ॴ ·Ͱ࿙ΕΔՄೳੑ͕ߴ͍
  23. ໰୊఺  w ௕ظʹΘͨͬͯ௥੻͞ΕΔ MACΞυϨε͕ݻఆ  w ୺຤ͷॴ༗ऀͱؔ܎ͷ͋ΔஂମɺॅॴͳͲ͕࿙ΕΔ w ಉ͡୺຤͔Βཁٻͷ͋ΔSSID1ͱSSID2ͷؔ܎ੑ΋ਪଌͰ͖Δ

    w ΦϓτΞ΢τ͕೉͍͠ w ୺຤͔Βͷి೾ΛҰํతʹड৴͢Δ͚ͩͰ੒ཱ w MACΞυϨεͱॴ༗ऀΛඥ͚ͮΒΕΔͱ͞Βʹ໰୊͕ʜ
  24. Ephemeral MAC Address  “ but a new iOS 8

    feature is set to cause havoc for location trackers, and score a major win for privacy. (தུ) When iOS 8 devices look for a connection, they randomize that address, effectively disguising any trace of the real device until it decides to connect to a network.” J04TUSJLFTBOVOFYQFDUFECMPXBHBJOTUMPDBUJPOUSBDLJOH(2014/06 The Verge)
 http://www.theverge.com/2014/6/9/5792970/ios-8-strikes-an-unexpected-blow-against-location-tracking/ Probe Request ࣌ʹ͸ϥϯμϜԽͨ͠MAC ΞυϨεΛ࢖༻͢Δ iOS8.0Ͱ͸͜Ε͕༗ޮʹͳΔ৚͕݅ݫ͘͠ɺ΄ͱΜ Ͳҙຯ͕ͳ͔͕ͬͨɺ9.0Ҏ߱Ͱ͸͔ͳΓϥϯμϜԽ ͞Ε͍ͯΔΑ͏ʹݟ͑Δ
  25. ໔ڐෆཁͰ࢖͑Δ w ҆ՁͰߴ଎ w ങ͖͙ͬͯͯ͢࢖͑Δ w ෆ҆ఆ͞Λڐ༰͠ͳ͚Ε͹ͳΒͳ͍ w ୭΋΄͔ͷແઢہΛഉআͰ͖ͳ͍ w

    ނҙͷ๦֐͸ɺͦͷߦҝࣗମ͸ҧ๏Ͱ͸ͳ͍৔߹΋͋Δ w ηΩϡϦςΟ w ଞਓ͕ԿΛ͍ͯ͠Δ͔Θ͔Βͳ͍ w ໔ڐෆཁ͸ྑ͍͜ͱ͹͔Γ͡Όͳ͍ w Α͔ͦΒͷׯবͳͲࣗݾղܾͰ͖ͳ͍໰୊΋͋Δ 
  26. ΋͠໔ڐ͕ඞཁͩͬͨΒ w ҆ఆͨ͠඼࣭ w ࠃ͕Ϧιʔε ి೾ Λ؅ཧͯ͘͠ΕΔ w ࠞ৴͸Ͱ͖ΔݶΓഉআ͞ΕΔ w

    ໔ڐͳ͠ʹి೾Λग़ͨ͠Βҧ๏ w ๦֐ͨ͠Βి೾๏ҧ൓ w ͳΓ͢·͠΍தؒऀ߈ܸͳͲ΋ ଟ෼ ి೾๏ҧ൓ w ༻్͕ݶΒΕΔ͔΋͠Εͳ͍ w ແઢ-"/Έ͍ͨʹരൃతʹීٴ͠ͳ͍ w ࠃ಺େखΩϟϦΞࣾͳͲ