䝕䜱䝆䝍䝹ಙྕฎ⌮ 䠄㼄㻵㻵䠅 Ꮫ⾡ᅜ㝿ሗ䝉䞁䝍䞊 ᒣཱྀ㞞ᾈ ),5,,5䝣䜱䝹䝍䛾ᅇ㊰ᵓᡂ䛸ᕪศ᪉⛬ᘧ ),5䝣䜱䝹䝍䛿䛹䛾䜘䛖䛻䛧䛶タィ䛩䜛䛛䠛 ┤⥺┦䝣䜱䝹䝍䛸䛿ఱ䛛䠛 ,,5䝣䜱䝹䝍䛾タィ᪉ἲ䛾⪃䛘᪉ 䝎䜴䞁䝃䞁䝥䝸䞁䜾䞉䜰䝑䝥䝃䞁䝥䝸䞁䜾 䝣䜱䝹䝍䝞䞁䜽䛸䛿ఱ䛛䠛 ࿘Ἴᩘ䝣䜱䝹䝍 䝕䜱䝆䝍䝹䝣䜱䝹䝍 ┠ⓗ ± ± ± ± ± ± ᖜ 䝜䜲䝈పῶ ຎ䛧䛯ಙྕ䛾ඖ䠄䝕䝁䞁䝪䝸䝳䞊䝅䝵䞁䠅 ≉ᚩᢳฟ 䝇䝨䜽䝖䝹䛾ศᯒ ➢ྕ 䝟䝍䞊䞁ㄆ㆑ &XWRII)UHTXHQF\ 䠄ゅ䠅࿘Ἴᩘ Z ᖜ ST పᇦ㏻㐣䝣䜱䝹䝍䠄 /RZSDVVILOWHU䠅 ᐇ᪉ἲ ᖜ ± 䝋䝣䝖䚸䝝䞊䝗 ± ))7䛾⏝䚸),5䚸,,5 ⏝ศ㔝䛾 &XWRII)UHTXHQF\ 䠄ゅ䠅࿘Ἴᩘ Z ± $9ᶵჾ䚸ไᚚ䝅䝇䝔䝮䚸䝉䞁䝃䞊䚸 ± ㏻ಙ䝅䝇䝔䝮䠄↓⥺䞉᭷⥺䠅䚸⏬ീ䝅䝇䝔䝮䚸་⏝デ᩿ᶵჾ䠊䠊䠊 ᖏᇦ㏻㐣䝣䜱䝹䝍䠄 %DQGSDVVILOWHU䠅 䠄ゅ䠅࿘Ἴᩘ Z ST 㧗ᇦ㏻㐣䝣䜱䝹䝍䠄 +LJKSDVVILOWHU䠅 ᖜ ST &XWRII)UHTXHQF\ &XWRII)UHTXHQF\ 䠄ゅ䠅࿘Ἴᩘ Z ST ᖏᇦ㜼Ṇ䝣䜱䝹䝍䠄 %DQG(OLPLQDWLRQILOWHU䠅 ),5䝣䜱䝹䝍䛸,,5䝣䜱䝹䝍 ),5䝣䜱䝹䝍䠄㠀ᕠᅇᙧ䠈㠀ᖐᙧ䠅 M ¦a ± ᕪศ᪉⛬ᘧ y k ¦a H z ± ఏ㐩㛵ᩘ x k m m m M m z m m ,,5䝣䜱䝹䝍䠄ᕠᅇᙧ䠈ᖐᙧ䠅ͤ M N ¦ ± ᕪศ᪉⛬ᘧ y k a m xk m ¦ bn y k n m n M ± ఏ㐩㛵ᩘ ¦a m z m m H z N ¦ bn z n n ͤᖐᙧ䛾),5䝣䜱䝹䝍䜒䛒䜚䛘䜛 ),5䝣䜱䝹䝍䛾ᵓᡂ ⥺ᙧ䝅䝣䝖ኚ䝅䝇䝔䝮䛻䜘䜛䝕䜱䝆䝍䝹䝣䜱䝹䝍 䜲䞁䝟䝹䝇ᛂ⟅ hk 㞳ᩓ䛯䛯䜏㎸䜏₇⟬ y n xn hn y n x n h n f k ¦ xn k hk ]ኚ䛩䜛䛸䚸 k f Y z H z X z hn 䠖 䜲䞁䝟䝹䝇ᛂ⟅ H z 㞳ᩓ㛫䝣䞊䝸䜶ኚ X : f ¦ x n e M M ¦ h n z j:n X z n ¦ h n z n xn 㐜ᘏ⣲Ꮚ z H : f ¦ ┤᥋ᙧᵓᡂ ᴟ䛿 z 䛾䜏䠖ᖖ䛻Ᏻᐃ 䝕䜱䝆䝍䝹䝣䜱䝹䝍䛾 ࿘Ἴᩘ≉ᛶ : Z T X : H : n n n f Y : M ¦ h k x n k z z ධຊ h n e j:n ⟬ჾ h h n f ຍ⟬ჾ 䞉䞉䞉䞉䞉 hM yn ฟຊ 䜲䞁䝟䝹䝇ᛂ⟅䛿 HA:䛾㏫䝣䞊䝸䜶ኚ䛻䜘䜚ồ䜎䜛䚹 ┤᥋ᙧᵓᡂ䠄㌿⨨ᙧ䠅 H z M ¦ h n z n 䜲䞁䝟䝹䝇ᛂ⟅䛿ᐇᩘ ĺ HA-: HA*: HA: f ¦h H A : n n f A n e j : n ª f j:n º « ¦ hA n e » ¼ ¬n f H A : h z >h z ^h z h `@ xn ධຊ hM 䞉䞉䞉䞉䞉 hM z z h z HA:䛿ᐇᩘ䠖ᐇᩘ䛾㏫䝣䞊䝸䜶ኚ䛿 hAn hA-n 䠄HA:䜒 hAn䜒അ㛵ᩘ䠅 h yn hA n ฟຊ 䞉䞉䞉┤᥋ᙧᵓᡂ䛾ධຊ䛸ฟຊ䜢ධ䜜᭰䛘䛯ᙧ S ³ S H A : e j: n ª « S ¬ ³ S º H A :e j:n d:» ¼ HA:䛿࿘ᮇ㛵ᩘ䛺䛾䛷䚸 hA n hA n 䛣䛾䜘䛖䛺ᙧ䛻䛺䜛 ᖜ S S : 䜲䞁䝟䝹䝇ᛂ⟅ hAn䛜അ㛵ᩘ ⡆༢䛺),5䝕䜱䝆䝍䝹䝣䜱䝹䝍䛾タィ 䝍䝑䝥ᩘN䛜ወᩘ ᡤᮃ䛾࿘Ἴᩘ≉ᛶ HA: A: ± 䜎䛪䚸┦≉ᛶ䜢䠌䛸䛩䜛 ĺ 䛶䛾࿘Ἴᩘ䛷㐜ᘏ䛜䠌 ĺ Ἴᙧ䛾ṍ䛜↓䛔 ĺ HA :䛿ᐇᩘ 䝍䝑䝥ᩘN䛜അᩘ t t ĺ ᅉᯝⓗ䛷䛺䛔 䜎䛪䚸ᖜ䛾䜏䜢ኚㄪ䛩䜛䝣䜱䝹䝍䜢⪃䛘䜛 䠄㞽┦≉ᛶ䠅 䠖⌮ⓗ䛺/3) 䛭䛣䛷 hAn䜢䚸䛶 n t 䛾㡿ᇦ䛻䜎䜛䜘䛖䛻䝅䝣䝖 ± N 䛜ወᩘ䛾䛸䛝 N䛰䛡ྑ䛻䝅䝣䝖 ± ᖜ≉ᛶ A: hn hAn N ± N 䛜അᩘ䛾䛸䛝 1䛰䛡ྑ䛻䝅䝣䝖 ῶ⾶㔞 ORJA:G% ᖜ hn hAn N &XWRIIIUHTXHQF\ &XWRIIIUHTXHQF\ 䠄ゅ䠅࿘Ἴᩘ : S : hAn 䛜᭷㝈㛗䛷䛒䜜䜀䚸hn䛿ᅉᯝⓗ䛺䝅䝇䝔䝮䛸䛺䜛 ± N䛜ወᩘ䛾䛸䛝䚸 S hn hNn 䜲䞁䝟䝹䝇ᛂ⟅hn䠖䝊䝻┦≉ᛶ䜢ᣢ䛴hAn䜢㛫㍈䛷䝅䝣䝖䛧 䛯䜒䛾 ๓㏙䛾䜘䜚䚸 ┤⥺┦≉ᛶ䜢ᣢ䛴䝅䝇䝔䝮 䠙 ᐇᩘ䛷അ㛵ᩘ䛾䜲䞁䝟䝹䝇ᛂ⟅䠇୍ᐃ䛾㐜ᘏ 䜲䞁䝟䝹䝇ᛂ⟅hn䜢ᣢ䛴䝅䝇䝔䝮䛾࿘Ἴᩘᛂ⟅ H : f ¦ h n e f ¦h j:n n f f ¦h n f A n f A n N e j:n n e j:n e j N : ┤⥺┦≉ᛶ䜢ᣢ䛴䝅䝇䝔䝮䛾ఏ㐩㛵ᩘ H A : e j N : H z h h z h z n h z M h z M h z M ᖜ≉ᛶ䠖 _H:_ A: ┦≉ᛶ䠖 N: h z M h z z M h z n z M 䠄ᐇ㝿䛻䛿┦≉ᛶ䛿SaS䛾⠊ᅖ䛷ᢡ䜚㏉䛥䜜䜛䠅 ┦≉ᛶ ┦≉ᛶ : S h M z M S ⟬䛾ᅇᩘ M ĺ M䛻๐ῶ : S S S NS h h z h z n h N z M S ┤⥺┦≉ᛶ ලయ䠄/3)䛾タィ䠅 ┤⥺┦䜢ᣢ䛴䝅䝇䝔䝮䛷䛿䚸 hn hMn A: 䜢⏝䛩䜛䛣䛸䛷䚸⟬ჾ䛾ಶᩘ䜢༙ῶ䛷䛝䜛 A: _ : _ : ® ¯ RWKHUZLVH 䞉䞉䞉䛭䛾ព䛿䠛 : : A: S ᩍ⛉᭩S : ධຊ xn z h z z z h z : hM 䞉䞉䞉䞉䞉 h A n z yn ฟຊ S S ³ S ³ : S : S S A: e j:n d: S ³S VLQ : n Sn A: e j:n d: : e j:n d: VLQ : n Sn h A n 㐺⏝ 䢲䢰䢶 ཎಙྕ 䢲䢰䢵 䢲䢰䢴 䢳 䢲䢰䢳 䢲䢰䢷 䢲 䢯䢲䢰䢳 䢯䢶䢲 䢯䢵䢲 M 䢯䢳䢲 䢯䢴䢲 䢲 M䢳䢲 䢲 䢴䢲 䢵䢲 䢶䢲 䢯䢲䢰䢷 䢯䢳 n 䜢 ᭷㝈䛾್䠄 M aM 䠅䛷ᡴ䛱ษ䜛 䢲 䠄䝍䝑䝥ᩘ N M 䠖ወᩘ䛾ሙྜ䠅 䢳䢲䢲 䢴䢲䢲 䢵䢲䢲 䢶䢲䢲 䢷䢲䢲 䢵䢲䢲 䢶䢲䢲 䢷䢲䢲 䝣䜱䝹䝍䞊㐺⏝ᚋ䛾ಙྕ hn hAnM 䢳 䢲䢰䢷 䢲䢰䢶 䢲 䢲䢰䢵 䢯䢲䢰䢷 N 䢲䢰䢴 䢯䢳 䢲 䢳䢲䢲 䢴䢲䢲 䢲䢰䢳 䢲 䢯䢲䢰䢳 䢲 䢷 䢳䢲 䢳䢷 䢴䢲 N ¦ h n e 䛣䛾䜘䛖䛻䛧䛶ᚓ䜙䜜䛯䝅䝇䝔䝮䛾࿘Ἴᩘ≉ᛶ H : 㐺⏝䠄䠎䠅 j:n n 䢴 䢳䢰䢷 ཎಙྕ 䢳 ᖜ≉ᛶ 䢲 䢯䢴 䢲 䢲 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 䢴S 䝣䜱䝹䝍㐺⏝ᚋ 䛾ಙྕ 䢴 䢲 䢯䢴 䢯䢶 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 +DPPLQJ❆䜢 ⏝䛔䛯䝣䜱䝹䝍 㐺⏝ᚋ䛾ಙྕ 䢶䢲 䢴䢲 䢲 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 䢴䢲䢲 䢴䢷䢲 䢵䢲䢲 䢵䢷䢲 䢶䢲䢲 䢶䢷䢲 䢷䢲䢲 䝸䝥䝹 䢲 䢯䢳 䢷䢲 䢳䢲䢲 䢳䢷䢲 䢴䢲䢲 䢴䢷䢲 䢵䢲䢲 䢵䢷䢲 䢶䢲䢲 䢶䢷䢲 䢷䢲䢲 䢷䢲 䢳䢲䢲 䢳䢷䢲 䢴䢲䢲 䢴䢷䢲 䢵䢲䢲 䢵䢷䢲 䢶䢲䢲 䢶䢷䢲 䢷䢲䢲 S 䢸䢲 䢲 䢳䢷䢲 䢴 䢺䢲 䢯䢴䢲 䢳䢲䢲 䢳 䢯䢴 䢲 䢲 䢷䢲 䢴 䢶 ῶ⾶≉ᛶ G% ORJ _H:_ 䢲 䢯䢳 䢲䢰䢷 ┦≉ᛶ 䢳 䢴S 䢴 䢳 䢲 䢯䢳 䢯䢴 䢲 ,,5䝅䝇䝔䝮䛾䜲䞁䝟䝹䝇ᛂ⟅ ❆㛵ᩘ䛾㐺⏝ 䝸䝥䝹䜢⏕䛨䜛ཎᅉ䛿䚸䜲䞁䝟䝹䝇ᛂ⟅ 䜢ᡴ䛱ษ䛳䛯䛣䛸䚹 ĺ ᡴ䛱ษ䜚䛾ቃ⏺䜢䜙䛛䛻䛩䜛 ĺ ❆㛵ᩘ 䠖 +DQQLQJ+DPPLQJ.DLVHUHWF 䢳 䢲䢰䢸 axn b y n y n 䢳 ± ึᮇ್ y 䛸䛩䜛 䢲䢰䢷 䢲 +DPPLQJ❆ wn 䢲䢰䢺 ᖜ≉ᛶ 䢳䢰䢷 䢲 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 䢴 ┦≉ᛶ 䢶 䢲䢰䢶 䢲䢰䢴 h aG b y h b y ab h b y ab 䢴 䢲 䢯䢺 䢯䢸 䢯䢶 䢯䢴 䢲 䢴 䢶 䢸 䢲䢰䢶 䢺 䢲䢰䢴 䢲䢰䢳 䢺䢲 䢲 䢸䢲 wn 䢯䢸 䢯䢶 䢯䢴 䢲 䢴 䢶 S n ° FRV ® N °̄ 䢸 䢲 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 ᪉ᙧ❆ 䢲 for _ n _ ! N 䢯䢴䢲 䜉䛝ಙྕ Hz䛾ᴟ䛜䛶 ]ᖹ㠃ෆ䛾༢ෆ 䛻Ꮡᅾ䛩䜛䛣䛸 ༢䜲䞁䝟䝹䝇㛵ᩘ䜢⏝䛔䛶⾲䛩䛸 䢴䢲 for _ n _ d N ab n _b _䛺䜙᮰ ĺ Ᏻᐃ 䛭䛖䛷䛺䛔ሙྜⓎᩓ ĺ Ᏻᐃ 䢴 ῶ⾶≉ᛶ 䛾ẚ㍑ 䢶䢲 䢺 b y n h n 䢯䢴 䢯䢶 䢯䢲䢰䢳 䢯䢺 䢲 wnhn 䢲䢰䢵 a +DPPLQJ h n 䢲 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 䢴 f ¦ b G n k k k ,,5䠄ᕠᅇᙧ䠈ᖐᙧ䠅䝕䜱䝆䝍䝹䝣䜱䝹䝍 ┤᥋ᙧᵓᡂ䠄᭱䜒⡆༢䛺ሙྜ䠅 䝣䜱䞊䝗䝞䝑䜽䝹䞊䝥䜢᭷䛩䜛 ᕪศ᪉⛬ᘧ y k M ¦a m M ఏ㐩㛵ᩘ H z ¦a ධຊ N m m xk m ¦ bn y k n a xk n z z m ฟຊ y n axn by n yk Y z aX z bY z z Y z -b m N ¦ bn z n H z X z a H z bz n ,P ,,5䝣䜱䝹䝍䛾≉ᚩ ± ± ± ± ĺ ),5䜘䜚ᑡ䛺䛔ḟᩘ䛷ᛴᓧ䛺䝣䜱䝹䝍≉ᛶ䛜ᚓ䜙䜜䜛 Ᏻᐃᛶ䛻ὀព䛩䜛ᚲせ䛜䛒䜛 䛺┤⥺┦≉ᛶ䛿ᐇ⌧䛷䛝䛺䛔 タィ䛿ẚ㍑ⓗ」㞧 ᴟ䛿 z b Ᏻᐃ䛺䝅䝇䝔䝮䛸䛩䜛䛻䛿䚸_b_䛜᮲௳ b 䛾䛸䛝䠄ṇᖐ㑏䠅 /3) b !䛾䛸䛝䠄㈇ᖐ㑏䠅 +3) 5H b ⦎⩦ၥ㢟 ± ᕪศ᪉⛬ᘧ䛛䜙ୖ䛾ఏ㐩㛵ᩘ䛜ᚓ䜙䜜䜛䛣䛸䜢♧䛫䚹 ┤᥋ᙧᵓᡂ M H z ¦a m z m m N ¦ bn z n M ¦a m z m m n 䠎ḟ,,5䝣䜱䝹䝍 ධຊ N ¦ bn z n xk z z ฟຊ a z yk a a 䞉 䞉 䞉 b H z N z b z b z r FRV T z r z jT r z e r z e jT r 5H T ᴟ䛿ศẕ 䛾ゎ䠖 z re r jT bN ,,5䝕䜱䝆䝍䝹䝣䜱䝹䝍䛾࿘Ἴᩘᛂ⟅䛾 ḟ,,5䝣䜱䝹䝍䛾ఏ㐩㛵ᩘ H zH z H zH z z a ฟຊ yk xk z a r FRV T z r z H z ᶆ‽ᙧ 䠄㐜ᘏ⣲Ꮚᩘ䛜ᑡ䛺䛔䠅 n z z ධຊ xk H z b z m ¦ bn z n z xn b y n b y n ,P z ┤᥋ᙧᵓᡂ䛾ኚᙧ m y n -b 䞉 䞉 䞉 aM m -b z z z M yn xn n ධຊ ¦a ฟຊ H zH z ࿘Ἴᩘᛂ⟅ yk H : r FRV T e j: r e j : 䢵䢰䢷 b z a b 䞉 䞉 䞉 z a z z z 䞉 䞉 䞉 b z z z z 䢵 ᖜ≉ᛶ bN r 䢴 䢳䢰䢷 䢳 䢲䢰䢷 䢲 䢲 䞉 䞉 䞉 T S r 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 䢴S 䢲䢰䢴 䢲䢰䢶 䢲䢰䢸 䢲䢰䢺 䢳 䢳䢰䢴 䢳䢰䢶 䢳䢰䢸 䢳䢰䢺 䢴 䢴 䢳䢰䢷 䢳 aM 䢲䢰䢷 ┦≉ᛶ aM bN r 䢴䢰䢷 a b 䞉 䞉 䞉 a 䢲 䢯䢲䢰䢷 䢯䢳 䢯䢳䢰䢷 䢯䢴 䢲 S 䜲䞁䝟䝹䝇ᛂ⟅ ,,5䝕䝆䝍䝹䝣䜱䝹䝍䛾タィ᪉ἲ 䢳 䢲䢰䢷 䜰䝘䝻䜾䝣䜱䝹䝍䛾ఏ㐩㛵ᩘ䜢㏆ఝ䛩䜛᪉ἲ sᖹ㠃 ĺ zᖹ㠃 r 䢲 䢯䢲䢰䢷 䢲 䢴䢲 䢶䢲 䢸䢲 䢺䢲 䢳䢲䢲 䢳䢴䢲 䢳䢶䢲 䢳䢸䢲 䢳䢺䢲 ± 䜲䞁䝟䝹䝇ኚἲ ± ୍ḟኚἲ 䜰䝘䝻䜾䝣䜱䝹䝍䠖 䛂䝥䝻䝖䝍䜲䝥䛃 䢴䢲䢲 䢳䢰䢷 䢳 r 䢲䢰䢷 ᡤᮃ䛾䝣䜱䝹䝍≉ᛶ䜢┤᥋㏆ఝ䛩䜛᪉ἲ 䢲 䢯䢲䢰䢷 䢲 䢴䢲 䢶䢲 䢸䢲 䢺䢲 䢳䢲䢲 䢳䢴䢲 䢳䢶䢲 䢳䢸䢲 䢳䢺䢲 ± 䝞䝍䝽䞊䝇䝣䜱䝹䝍䚸䝏䜵䝡䝅䜵䝣䝣䜱䝹䝍䛺䛹 䢴䢲䢲 ࿘Ἴᩘኚ 䜸䞊䝹䝟䝇ኚ 䢳䢰䢷 䢳 䢲䢰䢷 r ± 䛶䛾࿘Ἴᩘ䛻ᑐ䛧䛶ᖜ≉ᛶ䛜୍ᐃ 䢲 䢯䢲䢰䢷 䢯䢳 䢲 䢴䢲 䢶䢲 䢸䢲 䢺䢲 䢳䢲䢲 䢳䢴䢲 䢳䢶䢲 䢳䢸䢲 䢳䢺䢲 䢴䢲䢲 䜰䝘䝻䜾䝣䜱䝹䝍 䝕䝆䝍䝹䝣䜱䝹䝍 䢴 䢳 ཎಙྕ 䢲 䢯䢳 䢯䢴 䢲 䢷䢲 䢳䢲䢲 䢳䢷䢲 䢴䢲䢲 䢴䢷䢲 䢵䢲䢲 䢵䢷䢲 䢶䢲䢲 䢶䢷䢲 䠙 Vᖹ㠃 ]ᖹ㠃 ࿘Ἴᩘ≉ᛶ 䠙 ᩘ㍈ ༢ 䢷䢲䢲 䢶 jZ 䢴 r ఏ㐩㛵ᩘ ,P λ 䢲 䢯䢴 䢯䢶 䢲 䢷䢲 䢳䢲䢲 䢳䢷䢲 䢴䢲䢲 䢴䢷䢲 䢵䢲䢲 䢵䢷䢲 䢶䢲䢲 䢶䢷䢲 V 䢷䢲䢲 5H 䢷 r 䢲 䢯䢷 െλ 䢲 䢷䢲 䢳䢲䢲 䢳䢷䢲 䢴䢲䢲 䢴䢷䢲 䢵䢲䢲 䢵䢷䢲 䢶䢲䢲 䢶䢷䢲 䢷䢲䢲 䢳䢲 䢷 r Z 䢲 S 䢯䢷 䢯䢳䢲 䢲 䢷䢲 䢳䢲䢲 䢳䢷䢲 䢴䢲䢲 䢴䢷䢲 䢵䢲䢲 䢵䢷䢲 䢶䢲䢲 䢶䢷䢲 䢷䢲䢲 S S S 䜲䞁䝟䝹䝇ኚἲ ୍ḟኚ 䜰䝘䝻䜾䝣䜱䝹䝍䛾࿘Ἴᩘ≉ᛶ Z f af 䜢 䝕䝆䝍䝹䝣䜱䝹䝍䛾࿘Ἴᩘ≉ᛶ : SaS Z 䛻ീ䛩䜛 䜰䝘䝻䜾䝣䜱䝹䝍䛾䜲䞁䝟䝹䝇ᛂ⟅䜢ᶆᮏ䛧䛶䝕 䝆䝍䝹䝣䜱䝹䝍䛾䜲䞁䝟䝹䝇ᛂ⟅䜢ᚓ䜛䚹 ݄ ݊ܶ ൌ ݄ܶ ሺ݊ܶሻ ݄ ሺݐሻ ࿘Ἴᩘ≉ᛶ ȳ ߱ ൌ ʹ ஐ ஐ ȳ ሺ݁ ଶ െ ݁ ି ଶ ሻȀʹ݆ ͳ ͳ െ ݁ ିஐ ʹ ൌ ൌ ஐ ൌ ஐ ȳ ݆ ͳ ݁ ିஐ ି ଶ ݁ ଶ ሻȀʹ ሺ݁ ʹ ȁܪ ߱ ȁ ߱ t ݄ሺ݊ܶሻ ࿘Ἴᩘ≉ᛶ ĺ 䜰䝘䝻䜾䝣䜱䝹䝍䛸䝕䝆䝍䝹䝣䜱䝹䝍䛾 ࿘Ἴᩘ䛾㛵ಀ ȁ ȳ ȁ ȳ t V䛛䜙 ]䜈䛾ኚ S ݄ ݐൌ ݄ L ୀଵ ܪ ݏൌ ୀଵ ݄ ݊ܶ ൌ ܶ ݄ ݁ ୀଵ ି ் ݄ ݏ ܽ xn 䜲䞁䝟䝹䝇ኚኚ 䝕䝆䝍䝹䝣䜱䝹䝍䛾ఏ㐩㛵ᩘ Z ݖ ܪൌ ୀଵ ͳ െ ି ݖଵ ͳ ି ݖଵ : ͳ െ ݁ ିஐ ͳ ݁ ିஐ ͤ≉䛻㧗࿘Ἴ䛷࿘Ἴᩘ䛾 ᑐᛂ㛵ಀ䛾ṍ䛜䛝䛔 ఏ㐩㛵ᩘ HzHz 䜲䞁䝟䝹䝇ᛂ⟅ hnhn 䛾䠎䛴䛾䝅䝇䝔䝮䛜⦪⥆䛻᥋⥆䛥䜜䛶䛔䜛ሙྜ 䜰䝘䝻䜾䝣䜱䝹䝍䛾ఏ㐩㛵ᩘ ݁ ି ௧ ݆߱ ൌ S ⦪⥆ᙧᵓᡂ 䜲䞁䝟䝹䝇ኚἲ ൌ S hn hn yn yn hnhnxn ݄ܶ ͳ െ ݁ ି ் ି ݖଵ z ኚ䛩䜛䛸 Yz HzHzXz ͤ 䜲䞁䝟䝹䝇ᛂ⟅䛜ᖏᇦไ㝈䛥䜜䛶䛔䛺䛔ሙྜ䜶䜲䝸䜰䝆 䞁䜾䜢⏕䛨䜛䚹 ĺ Hz䛜䛘䜙䜜䛯䛸䛝䚸 Hz HzHz䛾䜘䛖䛻 ᅉᩘศゎ䛷䛝䜜䜀䚸⦪⥆ᙧᵓᡂ䜢ồ䜑䜛䛣䛸䛜䛷䛝䜛 㠀ᕠᅇᙧ䝣䜱䝹䝍䛾⦪⥆ᙧᵓᡂ䛾 䝎䜴䞁䝃䞁䝥䝸䞁䜾䠋䜰䝑䝥䝃䞁䝥䝸䞁䜾 䝎䜴䞁䝃䞁䝥䝸䞁䜾 ධຊ ĻN xk a z a b b z b z ݊ ݒൌ ݔሺܰ݊ሻ yk ሺܰ ൌ Ͷሻ ฟຊ ⦎⩦ၥ㢟 ± ୖᅗ䛾ᵓᡂ䛾䝕䜱䝆䝍䝹䝣䜱䝹䝍䛻䛴䛔䛶䚸 ఏ㐩㛵ᩘ Hz 䜲䞁䝟䝹䝇ᛂ⟅ hn 䜢ồ䜑䜘䚹 䜰䝑䝥䝃䞁䝥䝸䞁䜾 H z ^a a z `^b b z b z ` ゎ ab ^ab ab`z ^a b ab`z 䛣䜜䜘䜚 h ab h ab ab h a b z ab ab h ݉ ݕൌሼ M ¦a m z m m N ¦ bn z n ݊ ൌ Ͳǡ േܰǡ േʹܰ ǥ ݁ݏ݅ݓݎ݄݁ݐ 03 03(*$XGLR/D\HU 䜸䞊䝕䜱䜸 ධຊ 䝃䝤䝞䞁䝗ศᯒ 䝣䜱䝹䝍䝞䞁䜽 a z a z a z ` a ^ b z b z b z 㐺ᛂ䝤䝻䝑䜽㛗 0'&7 ᢡ䜚㏉䛧ṍ๐ῶ 䝞䝍䝣䝷䜲 䝤䝻䝑䜽㛗 ษ䜚᭰䛘ሗ yk z z 䝡䝑䝖 䝇䝖䝸䞊䝮 䝇䜿䞊 䝸䞁䜾 㠀⥺ᙧ 㔞Ꮚ 㔞Ꮚ䝜䜲䝈ไᚚ 䝺䞊䝖ไᚚ ᚰ⌮⫈ぬศᯒ ))7䠋䜶䞁䝖䝻䝢䞊ィ⟬ a ݊ ܰ Ͳ ab n xk ݒ ,,5䝣䜱䝹䝍䛾⦪⥆ᆺᵓᡂ H z ĹN 䝝䝣䝬䞁 ➢ྕ 䝡䝑䝖 䝇䝖䝸䞊䝮 ⏕ᡂ 䝃䜲䝗ሗ ➢ྕ 䜶䞁䝁䞊䝎 䝡䝑䝖 䝇䝖䝸䞊䝮 䝇䜿䞊䝹䝣䜯䜽䝍 䝡䝑䝖 䝇䝖䝸䞊䝮 ศゎ z 䝝䝣䝬䞁䝔䞊 䝤䝹ྕ 䝝䝣䝬䞁 ྕ 䜸䞊䝕䜱䜸 ฟຊ ㏫㔞Ꮚ ᢡ䜚㏉䛧ṍ๐ῶ 䝞䝍䝣䝷䜲 䝕䝁䞊䝎 ㏫0'&7 䝃䝤䝞䞁䝗ྜᡂ 䝣䜱䝹䝍䝞䞁䜽 䝣䜱䝹䝍䞉䝞䞁䜽 ᖏᇦศ䝣䜱䝹䝍 䠄ศᯒ䝣䜱䝹䝍䠅 +] ಙྕ ĻN +] ĻN xn xn 䞉 䞉 䞉 䞉 䞉 䞉 xn 䜰䝑䝥 䝃䞁䝥䝸䞁䜾 䝎䜴䞁 䝃䞁䝥䝸䞁䜾 ĻN +N] ྜᡂ䝣䜱䝹䝍 ĹN )] ĹN )] 䞉 䞉 䞉 xNn ĹN 䞉 䞉 䞉 ฟຊ ^ xn ྜᡂ )N] ྜᡂ䝣䜱䝹䝍 +] +] +] ᖜ +])]+])]䞉䞉䞉 ]E 䛸䛺䜛䜘䛖䛻Ỵ䜑䜛 ࿘Ἴᩘ 䜴䜵䞊䝤䝺䝑䝖ኚ H L z H H z z z ศᯒ䝣䜱䝹䝍 HLz Ļ Ļ Ļ xLLn HHz Ļ xHLn xLn xn HHz HLz HLz Ļ xLLLn HHz Ļ xLLHn xHn 䜸䜽䝍䞊䝤ศ 䜴䜶䞊䝤䝺䝑䝖ኚ 䞉䞉䞉 -3(*䠋03(*➼
© Copyright 2025 Paperzz
