ss rt çã r s t Pr r Pós r çã ê t çã st t t ê s 1 t s r s r s r s r q s t r r t çã r str ê t çã r t r r r t r s
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- Δείμος Παπαγεωργίου
- 6 χρόνια πριν
- Προβολές:
Transcript
1 P P
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3 P P ss rt çã r s t Pr r Pós r çã ê t çã st t t ê s 1 t s r s r s r s r q s t r r t çã r str ê t çã r t r r r t r s r t r 3 2 r r r 3 t r
4 ér t r s s r t s r s r s ér t r r t t q s t s sã s s s ér t r r 3 t 11 ss rt çã str rs r s r s r t r r r t r s r t r 3 2 r r t çã s s Pr ss t s s s s sã r t r s s r t r r t r ít
5
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7 r t s t s ss s r t s r q t té q í s ã r ç r s t ss r r r t r r r r ç rt r 3 st á s q r r r t r r 3 q 3 s r r s r t s s stõ s s s s q 3 tú r t st t ú t r q t r s s ss s s s s rr s s s s s s rt t 3 r s r s q r r r r s s stór s 1 r ê s q r r t s s rá ér r r t r s r s rs s s s ss P 33 s s r tór r ét r ã r r q t r t s rs rs t r r r P í s r ss r s s r s P r r ç s s r s s t s s s q s r st r á r 2 2 r st r t r r t s s s r t q t s t s às r s s rr t t
8
9 ê stá tr st ã q tr st ó ér 1
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11 s ôs r q t t r s r r t s s s ést t r s s s t s st s â ss t t r q r q r çõ s s s r s s r ss s r r s t s r r ssí 1 3 r s r ô st tr r s t r r çã t r r t t s t 3 stí s á í t s r s s r s t s r ô q t 3 st rt r t r r t P r s 1 r t s t str t r q s t s t q tr s s s s çã ú t r sã t s t r r sã s ss t r s á P r çã tr t r ss t r s é s r r 3 áq q t sã s s r s s r t é r s s s r s í s r í s r s t s s s s á í s str té s r sã s s r s sã s r t t sã sõ s r t r 3 sã tr t s str q sã sõ s t r s st s q r s á í t 1 s rt r s t t r r t r r st ár s t t r rê s s r t r s á tr 3 s sã r s r s r s r tór tr çõ s st tr çã té s r r s t çã s s s s r ç r sã s çã s s P r s t t s sã s r s sã t Pr ss t s 1
12
13 str t ts r t 2 t t r 3 s ts r st s s r r s t s s r s r s2st s s t2 t 2 r q r s t t r ss s s r2 r t st r r s t t r r t 1 3 r r s r r s ts t r t r t t r t s t s st q r 2 s s rs t r t s s rt t r t t t r r t t 2 r t s t r s t s sts str t r s t s ts s tr s s t r s t s r t r r t t s r t rst s t r s r t tr2 t r s t s s t r s r r t t ts t s s r s P r r ss t s t r t r s s r r s s t s r t t s s r t str t s r s s r s r t s s t r r t r s s s s t st r 2 r s r r 2 ss t t r s r s t 2 r t r st t2 r t r r s r s s r t rs tr r r r t t r s r t r2 r tr t s t s r t t q s r r r s t t s s s r r r s s t t t s t 2 r s t t s r s t r s Pr ss 1
14
15 st r s 1 s t r rê s rr s çã 1 sã s s r s t s s r s 1 st çã r sã s t t t r t s rõ s str t st s r s r t r r r s t r t s t s s sã r s r t r r t 1 t í 1 çã r s t t r s sã r r çã tr s t s tr 3 r t r 1 t í s st r 1 ó á 1 r rt s tr á s s t r st tr çã tr s s s rt3 r 1 ó s 1 ás r str P rã str s r t r r t r s t t r 1 sã s t s s s r á s t tr t r s r r t t t r s str s s s str s r t r s s tr r tór stâ 1 tí tr s s s r 1
16 q s çã str s s s r s t r ô r ç r ót t r t t t r q s çã á tr s 1 r r ô s tr r str t r t r r rã r r s tr r s t s s tr r t s t r s s tr r s t s s t r r r t s tr s tr 3 s sã s r s çã rót s tór s 1 rt r çã rót s tór s s t 1 s r r t r r çã TED 30 s t q r s t 1 tr 3 s sã s r s 1 r t r t t t s s t s s 1 s rt s r s 1 r t r t t t s s t s s r s s r s 1 r t r t t t s s t s s s s r s çã r í t ss s s r s çã r í t r s s s r s çã r í s ss 1 rt r r r t s í s r í t ss r í s ss 1 rt r r r t s í s r í t r s r í s ss t s r s r 1 r t st s st t ss s ã s s tr 3 s sã s r s r sã s s s r s 1 r t r t t s 1t r s à s 1 s rt s r s r sã s s s r s 1 r t r t t s 1t r s à s 1
17 st s r s r ár s s s r t s t s r s r r t s çõ s tr s s r t r s á q q t t s r s tr 3 s sã r s tr t tr r s r t s t r s r s tr r s s r t s t r s r s tr s r t s t r s r s tr t r s r t s t r s r s tr s t s r r s tr s t s ã r s tr s t s ást r s tr s t s s r s str çõ s str s 1
18
19 st rô s r r r r2 r tr ts r 2 t r r q 2 str ts r s r2 st t t r2 t r s r2 st r t 2 ts s r t r r r s r t s t r s r r t r r t r s r r t t st st t 2 t r r r s r ss 1t r r P P r t t r t t r Pr t 1 P st r r r q 2 str ts 1 1
20 P P P P P rr r 1 r t t t P rt t r s Pr t 2s s Pr st t t t 2s s P P t tr r s r P r t r Pr t P r r t r t r st s s s t t r t t r r s r t s t r 3 t P2r t rt r r r s r st t r s rt t r t r s r P tr t P s 11
21 ár r t s s str t st r s st s st rô s tr çã çõ s sã s t t r t s s í s tr çõ s r 3 çã t r s r s t s t t t s r t ór s r t r s s r t r s t s s r t r s s s r s 11
22 sã s t ó sã s s r s t sã r ó t rt s r t r s ó s t çã s r t r sã s s t s 1 r t s t çã s s q s çã s çã s 1 r t s çã tr t s çã rót s tór s 1 r t s t t r s s t tr s s t t s sã s s s st 3 r í t st 3 r í s st 3 r í t s t t s 1t r s tr t tár s r s sã tr s t r s sã t çõ s tr s t r s rê s rá s 11
23 ít tr çã t r 3 t r r t r str r r r r s st s stí s sã s s t r s s rt t s 1 s 1 t s ér r P r t t ór ã s s s r s s r ár s s é s s s çã t q r çã t ss s r r s s r s t s r s s t s t r t r r t tr és r t s s s s r s r t q rt t t r tr s s ú ã é s t r r r st t s r r çõ s s s s r s st t s r st r st ü t s s é ssí s r r t r rê s çõ s q t rt s s t s s q t r tr s s r 1 st t r rr s r s r çã r t s s sã r r s s 1 s t é ssí r r t t 3 çã t t t 1 r çã t 1 s t r rê s t tr s sã sã str s r t r 3 s ór ã s s s r s sã r s sá s t çã r çã r s t t ss r çã é 1 t r ôs tr s s st s tô s r s s r s s s t s q s r r 3 ís tr s r r r s t çã q ss s r t r r t r s r r s st ôs s st s tô s r q t t r t ss r r t s t q r s ss t r 1 r tr s t r s r 1 çã tô tr és r s r t ss é st t r t r sã t é t r s r ô t s ést s P
24 ít tr çã çã s t t çã sã s r 1 s t r rê s s r t r s r t s 3 t t ár s t r çã r t P r r r s s ár sq s sã s s r s t t r r çã t r r t çã t rr r t r r s r çõ s t s ú t s t s 3 q r çã r s t t s s r r às r çõ s s s s r s s t r r çã s á tr és çã ê r í t r t tr 3 ró r s s r t s 1 t ã r çã r çã P r 1 s s s r s s r çã s t s 1 s tr s r r r r r s çã r s t s â s r t s s r s r r r r çã r ssí r r çõ s s s s r s r t s t r t s q s r s r t s r s s s r t t r s st s s r ó í stã rt t ss s à r çã s t r ú r t s á s q t é 1 í t s ss
25 r rr s çã 1 sã à r t r çã é t tr és çã ár s s q r r à sq r r t r r t ríst r st t q s r s stã s t s r t r t r tr és s st s r t t P r tr r t sã é r â s s r s á t t çã t s ss s q t ss s s s r s 1 st s t q r r s q t s s st tr r r çã st t t 1 s s r t r 1 st é t s st sq s str r s r t sã 1t r s r t t s r s r t r 1 st t q r â r â r r r rr 2 r s t t s rs s çõ s r s tí s r s r t r s s
26 ít tr çã çõ s sã s t s r s t r s s r t â tr í s sã s s r s é ár q r s t r t s t r s s s s r s s s r çõ s 3 s 1 t s t s t t r t r s t rt t ú t í t é á r ét s t át s r t çã ss çã t ú t çã t ú ró r r çã t s t át s r 1 çã s t r sã s á çõ s s t r s ss çã tr rt r t ss çã t ú t í t r t t át t r t r á s r õ s t 3 çã tr ss s r t 3 çã tô tr t tr tr s t 1t ss çã t s t s té s s r s s t çõ s â s r ç t s t t s tt t 1 r çã tô tr és t çã r s t s t t t t t rt r t çã t r s t s 2 t str r t st s çã sã r s t s s t s r s s í s st tr t r st sq s s s st r t s r t s s s s r s ss s s t s çã t r ár r ót r t t s P r st r s s t s
27 t r 1 çã t s t 2 t ss tr q r ôs t t t tr 3 t rr r s s r t r r s s ss t r s r rr t t t ã ss t r t r s í r t r 2 t s s s s r s t t s s s s r s r s çã sã ã á t r r s s s r t t s tr s s q s r tr r r s s s t r r s s st ss st ss rt çã r r 1tr çã r çõ s s t 1t r r s çã r t r r st tr s r s r t r t r r r t t s r çõ s s á t r ss s r q r r s s r t t r çõ s t s s s ss s s t r r t s ár s t s s í s t s s í s st tr 1 çã rá s q t s s s
28 ít tr çã r çã s s ró r t ss r t s t 3 r çõ s s s s s r çõ s s r t s t s t s s s r r ss s r s s t t s t r r ss t r á t ss t r á s rã t 3 s ss s r çõ s s rã s s t s tór s s çõ s t s r s r s ss s q stõ s rã r s st tr t s s t s tr s ã t s r s só á ss t t r çã ss s r r çã s s r t s s r r s 1 r t s s ss r t ríst r r t t é s st s r r çã s s t s rt r s r r ót tr çõ s s r s tr çõ s st tr sã st s r sã tr t s t s s s r r t t s çã ét sã q 1 r s tr t s t s r çã s s s str t r t s r t s t r s tr s r 3 çã t st ss rt çã é str t r s t r ít r s t s r s tr s r s r t t s ít té r r t ór r r t r ss t s s t ó
29 r 3 çã t ít é s r t t s r r t t s stát s s r çõ s s s ít té s r çã s 1 r t s 1 t s á s s r s t s t s P r ít sã s t s s sõ s st sq s s s t çõ s tr s t r s
30
31 ít r s r s st ít sã t s tr s r t t s r t t r s às três s ár s st sq s r t t s s s r t r s r s tr s çõ s r s stã ró1 ít t s r r t t s é s s s ár ó t sã t rtâ tr 3 r q t sq s s r st r 3 s t r s s á s 3 s 3ê s r 1 çã r áq s s r t çã s st s tô s q r t s r s r s ár t r í é sã t sq s s s s r q s r çã r r s r r rt s s t s r s ssí s r r r çã trí s tr té s r r r s t çã r t t s s s s r s s s s étr s s s t r é s sã r rs s s s t 1t r é ós s r t â r s trô s r r s étr s s s s çõ s r s çã t 1t r é á r t t s tr és r çã t r t r q 3 r çã r r s s s t 1t r r s 2 r é s r s tr t s ss ú t s r s r 1 ét s s s s r t r s s s r r st r r t t s r r t r rê s s s sã sã r r tr
32 ít r s r s tr 3 s r t r r t t r r s r q s r çã r t r t s s s r r r s t r rt s r s r t r r t r t çã t t s r s s r r s t çõ s s r r r r r s t çõ s t r ár s r r t r t ss t tr t s st r r r r s t çõ s s r st s 2 t s str çõ s s s r s s r t P t P2r t 3 t s r t sã s s s r t r s r s r k s ss r r çã ár étr r st r ú r rrê s rã s r t r r t st rt t r r r s ró r t s s t t r s t t 1 rt ss t t s s s ê r â tr s r çõ s s r st 3 r çõ s s çõ s t é s r 1í r 1 r r s r t r s tr s t s r çã étr 3 t st r s rárq s s r t r s sã 1 tr í s rt r r r ss t s r õ s t s s t r s ss r t t ss r s t rrê s s r t r s trár r r r r t t s t s ár s t s ró1 s s s tr s é sê ss s t çã t t r ss ss s r t ríst s P t s s s s r t s r r t t s r t t s t s s r r t r r r t t t t s r str çõ s t í s s tr és r 3 r t s r r s t çõ s ss t ê t çã s r t r s 3 s s r t s s ss r 3 r r ss r q t s ss s s s s r r t rtâ r r s t çõ s t s á r çã r s r t t r s s r t r s t s r t str çõ s t s r r s t t s s s tr és s té s t r r çã s rs r t r P s q r 3 r çã r t r s t s s r t çã st r 1 t 1 st r é r 3 s 2 t q s r s r s çã r r 3 r s s t t
33 t t q té s õ s s r s s t r s ss tr r s s r s t s çã três t t t t s t 1 3 r r r ssã íst t r s ss s s ss à s r t s r s t s 1 t s rr t t t st r ss tr st 3 2 t t r ú r s r é r 3 s ú r râ tr s ssár s ç t 1 rr s r s ss s r s s s r r r r s t çõ s s s r t s í s r rq é t s r s str s 1 çã t t é á s r s t 1 râ tr s r s r s r 3 s 2 t r 1 ss r r r st r 1 çã str í t t st r t r r t t s s r s r r t P rõ s r ss t á tr s s s r r t ç r s r r í é t r t 3 tr s t q 1 r r ss â s tr r r t ú r s t s r ú t r t r s tã t t s r t 3 r r r r ús 3 t s t 1 s çõ s r s ss st t s 3 ss s r r t s r r t s 3 q s í çã st s s t s r t tê r ç s t s r çã r r t t s str t r r r q s çã s s trár ár s çã q 3 r s s ã é str t r ss ã é ssí 3 r s s çõ s s r r t çõ s str t r r ô s t rr t rr ss çã t r s r st s sã s r s r r r r str ss çã é s r rr t s t r r s tr r tr s s r s r s t çã s s s t t 3 rt t t r r tr s t r r ss
34 ít r s r s str t r t s r r s str çã s str t r s s 1 s s r s ó s r s tí s r r r s t tr és r s s q r r çã r ú str t r r t q çã s s q s áss s r r r rr çã str t r st r r str çõ s s tát s í 3 q r t s s á P r s s ér s t t ã á str t r ss ss s s s q s s r á s s çã q s çã s s á s 3 str t s s s é t r ss t t t t s r s s r s só s t r q r r s 3 s r t r r s t r r t t s r t t s tr s r t t r r s á s r r s tr s ár r t q 1 r t r s r s r r t t r s ss çã â r s t r s r 3 ss tr t r t é st ós t s r r t r çã â â r s θ é st tr és t t t e q r çã t r r 1/e s r r ós t s r ê θ = 1 πft e, f é r q ê str ss tr á s é t tr és s tr r s s t s 1 r t s r r t t r t s r í r ást r 3 t r q á s á s s tr r s r s s s ss r s r çã t r á s r çã s s r st t s s s r á stâ r rr t ós q â t 1 r st çã râ tr s s s r t r t á s s st r r s r t t r r q t t é t r q ê s q ss r s é rt t t r r r t á t3 2 t s r s r st s s r r r r s t t 3 çã r â q t t r r st t t r t r 3 r 3 t s rr r s 3 t à q s t r é
35 t s á s t r çã â tr és r 3 çã s tr r ú t s t r çõ s P t çã ss s tr s é q q t t s t st s s r t r á s s r s r t s r r 3 r tr s stâ s s s t r s s á tr s t r s í t s ssár s s r t t t r r r s st r ã s r s s r 3 r s r r tr t s r t s q r 3 t ú 1 s r t s t s r r r t tr tr s ã r t s s t r s á sã t s r t t s s çõ s t r çã rr r rr r rr r r r t r t t s çã r í s t s s r t r s s çã r çã tát r 3 t é t 3 r ss çã t r ét s s s tí r í sã s s r s 2 t sã s s s r t r s r q 2 str ts r r st r r t s í s r í r s s s s á sã t s t 1 r t r ã t t q s t st s s s t s r t s t r s r é st t s s tí t rs ã s á s é ssár t r stâ str t st r t s st s r t r té s s r çã s ç str s t á s ã t st s st s t s t t t r t s 2 t t rá t t s t çõ s r r t s ár r t 3 s r s r t s tr és tr s s s s P t s t tr t s tã t s t r r t t s r t t s tr s tr t st r rs t3 tr r t t s é t r ss t t r t t 3 çã st s r ss s q s t r s t çã t s s r rt á í s q t s é st t t r 1 tr tór r
36 ít r s r s t í s r q ê á q stã s t t sã rr ss q tr tór t s s r q ê s r s st t t râ té s r s r 3 çã s t s s t çõ s ss r s st r str çã ss çã rít tr s s q ã é r ssár s r r t s r s t s q r ós t r t t s 1 t t t r r ô 3 t r ôs sq r t ss s stá s t t r tr s á 3 rr tr s s s sã t r t çã s s s t r s s tr s r s q q 3 rr r çã s é tr t r s tr t s s s s s str tró t 1t r s t s r t r á s á tr és r s r s s ó tr s sã s s t t r t t s r s s s s é s tr t t ss çã ã sã t s r çõ s s tr s ét s s tr s r s sã r st s r t s í s r í sq q sã t r s s r t s ár s t st s s s s r t st s é t s s t s q t s s r t s sã s s rr s r çã tr s s é t 2 t s s s s r s sã s s t s r t s r st r r çõ s t s s r t á é s r st r t r t 3 çã s ó s r t çã ó s r s 3 ss t s r çõ s s s st r r r té r t ríst s r s s r s s tr s 2 t s s r ss s r t s r s r s s st s st s t t çã r t s á t P r s r s s r r t çõ s r s s t s r r 1 t ôr t t sã rr t t r r t ríst s s s s P r s r çã á ss 2 t t é é t 3 t r r s s s r t s r r s r t r s s é s çã r t tr t s s çã t çã s r s s é q t s sã ss s s r s q t t s r r s r t r çã s
37 t s r s t t s tr s s ró1 s r st sq s sã s r t q 3 r t t s t s s sã r ss s r çõ s s s á t s r t r r s é s r ss t s t s r çã s r t r s r r çã s s r t r s r á s r t r s á t s t s s s r s r ssã r r r s t r 3 t â tr s s r r t é t r ã s r s s rrê s r s st r r s rt r tr s t r r ós s r t s é r s t s r r 1 ss rr s str çõ s t s t t s P Pr st t t t 2s s t t r t t r t s t s 1 r t s t s t r s r t s rr r t q s tr s t s s s r s s à sã r rç r t s t 1 stê rr çã t r tr r çõ s á t s s q s s ss t rr çã tr s t t é ss t s r t r çã s t t s s s st t í r rt r t s q rát t s s 1 t s t r çã s ú str q s r q t t s s r s r tr s q ú t s t r çõ s sã 1 t s rr r t r rr r t s r çõ s s s sã t r s à r çõ s r r t s r r t s t t s stát s t r s ss tr é s r s r s r r r t s s t s st r s s r t r s st t r s 2 t s r s r t é 1 ó t s s t á é r r s t r t s s r t r r r s r s t r s s r t s s s t rq s s t s s çã s s r s s s r t r s r r t s s s r t t r çã ssí sã ss s s r P rã q á s s çã t tr s s s t s
38 ít r s r s t s r r r çã r A t r tr t s a m A q à tr r t r çã s í st çã é P(ŷ = y A) = α a m A P(ŷ = y a m ), y r r s t t r t α é st t r 3 çã ss tr s s r ss s r st s t t r çã â r st r s s s q r s r s ss s 1 3 r r çã r s s tr és t r t r çã 1 r t r r á s três r çõ s s s r s s s r á t é t r tr r st çã á r s r r s t s sã t r é rt t q s t t q r ô t t rrá r t rís t t r 1 ót é s só 1 r t çã tr q r s t s r r r s ê s s s r t r s á â s s t r t 1 r r ár 3 s s r t r s s s t str r á 1 r t t s q s s t st t s r s r t é s r t r çã r 1 t t r çã â s s s t s 1 r t s s r tr s s r t s í s r í t é sã í s r r s r t ríst s t çã q t t s tr s r s st r q q t tr s rê s s s rã s q t r s s t st s ss é s r 3õ s q t r çã r t r ss s s s r tr çã r sq s st s t
39 ít r t ór s r t r s s r t r é r r s rá ô s r s çã é r r s t r r çã r t r r çã tr r t s stâ s r r t çã s s r s t çã é rt t r t t r s q r s t r t r á t s s r t r s s í s r r t r r t s str s çã s q t t 3 ss r t s s r t r s sã s s r r r s t çã s s s á tr t t á s ss s s 1tr çã q q r s r t r t çã r çã t r ss t t r r r í r çã q ã é t r ss r çã r t t s s s s çã s r õ s q t s tr r 1 t çã r t ríst s t r ss q s s r r s t r t s s t s á s s r r s á r t s r q ê t 1tr çã s r t r s ss s r t ríst s s r t r s sã r t s s r r t t s t té s r 3 áq ár q s st st ét s t át s r 1tr r s r 3 çã rt r s s t r r s s s s t r r s r r ss q s r 2
40 ít r t ór r t s çã rr q ã á t s t í çã r r r t át q r r s t t q t t s r 1 r st tr és s r r 3 áq s r r t í tr X tr t s s r s r s ss çã t s í s Y t r s ss s ss s s tr t s str çã r P s r X Y ss r C é çã t tr s s í s t q C : X Y P r r s t s s r ét s r 3 áq ss r s r r r s 2 s ró1 s s çõ s tê r s té s r s à r r s t çã s á í r s r t r s s r t r s t s s é ô ís rr t rt r çã â ást s r r ssã 1 sã s s s q r s tr í 3 3 s s s rt s á tê r r s t r t r á s r ss sã r r s r ss s tór s ã st ár s r t t q té s á s t t í t q t r q ê sã r s r r r s t r s â r r s r t r s á s r s r s r t ríst s s s r t r t r r s t çã s r s r s s r q s r t r r r r s r t r s r t rt r ss s r r s t çõ s sã 1tr í s s r t r s r t r r r t ríst s t r s s tr s s tr t r s t s s r s P t rs t s t r s s r tr s t s s r t r s t r s à rt s r t r s str s P t t r s P t rs 2 t t r t s st ã é s s s s r t r s t r s s t r t r r 1 sã rt t r 2 E j = 1 s 2 N j(i), i str s tr r t s tr t tr 3 r rt t q r r çã tr st í r r q rê r q ê r çã t r q ê t r str é r t r q t r çã s tr r
41 s r t r s E j é r s s j r t r t N st s r t r r r r s t çã r çã t t r t st r s t s á t tr s s s r çã t r t r r t r rt t r r r ss t Z j = 1 sgn[s j (i)s j (i+1)], 2 i sgn[x] = { 1 se x 0 1 c.c.. st s r t r t 3 ú r é rsõ s s str r s r s r r â st r r t r s t s s t ús s r t r s s tr s sã t s s tr s r r s r í í r q ê r t t 3 à t r 3 ã st ár s à t çã r r r s t r ç t r s rt r r r s r s r 1 t tr s r rt r çã s ss r r s t r s r s r s s r st r t ss r t r t ss r s t s t r s s tr s s s q ê s r çõ s q st r r s s s é t r tr r r s t çã t r s tr s tr t t s r s çã t t t q é s r t s s r q ê s t r s t r s 1í r r é s ts t q r r çã s tr t r r t s s r s r çõ s s r s 1 s r q ê s sã s s q t s r s r t s r q ê s é s çõ s r trár s t s q ã s t r à 3 s r s r st ár st rí t t r s r r rê r st t t q t t ts s r r s t s t r s s s t r r q ê é t r r t t
42 ít r t ór ê s t s tr s s r t r s á t s s s r tr P t rs t t r 3 r s r t r s t í s r t r s á 1 í r çã rã P s 2 á s s r t s s r t r s s r tr s P t t tt tr t t q t s r t r s á s í s s 1t s s r t s í s çã s r q t ré çã é ssár r r r s á t r s s t r ss çã t s q r 3 s s ã s st r t tt t s r t r t s t r s r t r s tr s s r t r s t st s s r s r t r s s tr s t s P r Pr t r r q 2 str ts t st t r rç s r st t t r ê s r s ç tr és s s t tr s s r t r s s r t r tr 3 r s r st é s r t r q s st t r t r t s s rs s ár s r t t át t r t 1 s s st t t r t st t r t çã t s r r r s t çã t s r çõ s st t r t s r s st t s r r r çõ s s tr s rr t s t s r q ê s s tr s r t t s ç s t t s r t r P P t tr r s r P r t r Pr t r s 2 s s r t r s s s s r r t s úst s s s ss 1t r r r r t r r s r s t r s s ss s s ss t r s r t té s s r st s r r t s t ê r t r í s r s s s r t r t r r t é s r r r r s q s r r s str çõ s r ssã q r s st t 3 s q é s r t r r t t s r s ç t s s s tr s tr s r 1 t s r s t r s à ó
43 s r t r s r t s s q ê s r s r çã té s st rt s q s r tér s 1 P P rr r r tr t s r t r s s s r r t s çã r çã t r ss s r 1 t s ás r st s r r r s s r r t r 1 s r st t tr és r çã t s s t ssár s r s r t s r r s t t s r s t s s r õ s t r ss q ss str r s r r r s t s çõ s q s r õ s t r ss sã q s r çã r st t str s s t s s r t 3 á r q t tr s t r t r r s t çã t s t r ss rr s t s 2 t st t r t s t t r s s t s r st t s 3 ç s r t r s t s t r ss s r s s r s í s r t r çã q r s s r s s s t 1t r s r ú t é r s r s t r r r r r r r s t s t r t r r ét s 2 t s r t r s t r s r ç s s r s r t s s s s s st r s r t s s r t s 1 t r s s r s q t t st t t s s t r s q 1 r ss t rá t r s t r s r s st é s t s q t t t r ss s r t r s á r s s ú t s s r2 st t t r2 t r s r t r t t t t r2 st r t 2 ts t r t st t 2 t t r 1 s s r t r s tê rs s t s r çã às r s tr s t s sã 1 st t s s t s s s 1 s t sã r s s ss t çã r t t r 3 t t t r t r r s s s s s r r s
44 ít r t ór r r t s rõ s str t st s r s r t r r r s t r t s t s s sã r s r t r r t t t tr és étr s stâ r 1 r t s r t r s ár s tê três r t ríst s rã str 3 ç t t r ss s çã r t çã s r t r str r s rã str s r r rã étr s çã s t s 3 ç 2 t str r s s r t r s é t tr s r çã r t r á s r t s à r t çã s st ú t é t r r t çã tr t tr t s rt r q é r t çã r r t çã ô s r r s t s rã étr tê s s t s s r s s r s í s tr í r ár ss r çã r q t é r ss s r s sã s t r r s r t r r t t r ss s r t r 1tr í t s s r r s t s r ã ú r s çõ s q s str s ár s r tr s
45 s r t r s 3 ç 2 t r r s t çã é ssár r t s t r t P r r r s t çã r t st r r ss çã r t r 1 r 3 ó 3 r s é t 3 r té r s s r t r s é st r ú r rrê s rã s r t r st r é st s t s st t s s s r t r s s sã r s r ár r t r s t r r t ríst s é r st r r q ê s 2 ts t r ár sq s r çã r çã r t é t 3 ár é r r r s s s q stã ã r s t s t 1t s ç str s s r t r s ár sã t é t st té s r 1 çã r tr r s r t r s à rt r t s r s ss r çã ár é 1 t tr és st r s r t r s st s s s r ss r ós t P rt r t r s s r t r s ár s st s r t s r t P P rt t r s t çã k s ss s k s r 3 r r t s t st s r s r st r í t rs s r k s r s r s é r t r s tr s étr s stâ s s r r s t 1t k s r 1 q 3 stâ tr s str s ã é r r r s s r t r s ár s q s r s t r s s ã té r çã r t tr s r s í R s ss s s r t r s étr stâ rr t s r q s r s k s t st t k s s r t s s s q t str s s s r r çã ár s s t rát é r t rç r t q t t tr r çã k str s tr s s s s q ss 3 r stâ s st rs tr t t t é 1 t t s s tr t ã á t s r s st r t s 1 çã é t q t 3 s s r t r s s r s ár t r s t t r r str ró r r q 3 stâ stâ t t st r
46 ít r t ór r 1 t í 1 çã r s t r té 1 t í 1 çã r s s q s çã s 1tr çã s s r t r s s r çã ár rt r s s r t r s r s t t r r r 1 s r q s s r t r s s s r s r tr r r r s t r r s r t r s st r r 3 r s r t r r r 1 é st r t t çã t ár á s t r t s r r t r ár s s é á s s t s s st rs ss
47 sã ss ár D ár t r trár s t s st r D é s = b a max(a,b), a é stâ é tr str s r st t s s st r b é stâ é tr str s st r s ró1 t t t s t st r q ã r r s t st é s tr r t s t s r q st r ã é s s s r tr s r s ró1 s s str s ã é r r s t t ã á s r çã tr st r s s 3 s á s s t s st s r s t é s st rs ár s t s r s ár r s t é t st rs s s tr r r çã t ár é r r s r t s ár t çã t r r tr t ár r s r t 1 rt r 1 çã é t r s tr t t st s s r s r q ã st ár é s s r ç r s q s ss á s é t á s s t rr r q ã s ár s é r ã s r s á s s r t rr r q ã s r tór ár é r t t s s s r s r s sã st s çã s t s r t ríst s sã s t rr t r 3 s t ó r çã s r s r r st s r s t t stí s 1 t r s st s t ér r é s r s 1 s r str r s t s r t s r ss t t r çã stí s ss r ss s s s s t s r t t r
48 ít r t ór P sq s s r t s s r q ss t r çã ã rr r rí s q é s sí à s t çã q s s t s stã s t r s s r t rís t s s stí s r s r t q st s s s t t t r ér r st t 1í q t à t r çã r çõ s t t r t r çã t ss s r st é í r r t t r çã t r çã t ss s r r ç st t st t s t í r tr ú r s s r s s rr t s çã t s stí s stí s t tr st s t r çã t ss s r t t r t q r s st r s é r t r r 1 3 r r í stí r r 3 s t s s t t r s r ss t r çã rr r tã s q é r s rrê stí s t s r t s t t s tr s s t s r sõ s r t s t r r tr q s r t P ssí s 1 çõ s r st s ô s sã q s s t s r r s r tr s sã à çã s r çã t q t t rr s q s t t é t 3 r rê r str t r r s stí s s s s t s t r r q r ss t t r t t ê st é st t sí s r q r çã s r é r r t s t r q r r s t çã t r r é t s s sã q s s s t s rt P s s r r q t s s r çõ s sã rt t s s t s s s 3 s ês t r s 3 t s s r 1 q t s r r t t r 3 t t s s é s rt t rr r t r t s ss r r çõ s s s t s t t t s r çã r r r st t s P r 1 q ss s r r s t s ê t r r r çã ã é s s ró1 st rr s ér r t r sã t s á s s t r r r stí s çã q s r r s á s t r és s r r
49 sã s r t r â sã s r s s t é 1tr r çõ s s â t s s s rt r s s t q r rt r 1 r 3 q â r ss â é s s r r s s s t r r tr s sq s s r rç ss t r r q s s st r tr t r s st t 1 t ã r s q s t 1 í s r çõ s r t s s t s sã tr s t s r ér r s t r 1 t t r t tr s r t s r r r rsã r t s t t r t r r rt rr s s t t q ss t r çã rr r t s s rô s t ss s r s r s t s ár s r õ s ér r s 1 st t s r tr çã s é órt 1 r r s t í s r r r s r s r r s r s r st ü t 1 3 r çã r s r t s s 3 r â st çã s s r r t r s ç ót s s t ss s r r s s rt r çã à â s t tr s t r tr q s é q r çã r s r s r r r s t çã t t r s 3 çã t s sã t rt ê s t r r stâ s r çõ s s s r r sã q çã t s 3 s r ç st t rá t r s st t t r ss rr s r ss t t t ér r é s rá q s q r çã s r s t r q 3 s tr s t q çã t r â r çã t r t s â é t r ã s t s s r çã r q ã á é stí r st ü t q 1 s sõ s s s r s t s t r r t ssí s r r q ss s r t ríst s r çã sã t s r s tí s s s s rê 2 s P 1 ã s st r s tr s t t t s é
50 ít r t ór P st r r r s té s tr 2 s r s t 3 s t sã s s r s sã s s r s sã s s r s s r s r t 2 çã st s t s té s s s t r ss r t r r s t t ss s r t r r rt r ssã r çã r t r ss r çã t ís r rt s s r s r çã t é t s s s r s t 3 s q t r s rt r çã s í ssã ã s st sã é r r ss s r çõ s s r r s t r s r s t r çã s s r t r s ú t s é s r ss s t s s s r s t t 1 st r r ét s r s r sã s s rs s í s çã r t s r 1 stê sã r çã t r sã s s r s r çã s s çã rs s ár s s rá t s t çã s r t r sã r st t st t çã çã s ú t s s s r s r çõ s r s r s r s s ss s r ç r r 1 t ã rê s s s í s q s r ssí s s ú s s r s t s sã s s r s 1 st t s s r ss s r ár s r t ríst s r çã tr s s tr í str çã q é t çã s s s t s s s r s s t r s r trás r ss sã r t r ê t r ss ó 332 r r çã tr s s s r s sã s r s s t s t r s str r t r q s s s r s r r s t r t s s t s t r çã s t ã r t s r t tr és sã s sã s r r t
51 sã r t r s sã r r çã tr s t s tr 3 r t 3 3 r çã ss s r s s r 1 t q s s r s t s t s r t s sã s t r á s 1 t 3 çã P r 1 s çã é rr t t r s st ár s s té t s r t q s s r s r r r s 1 q r r r s t r q s s s s st r s tr ss çã s ét s sã é r r t í str çã q t r çã s s rr sã s sã 1 í s s sã s r t t s s s s r s q s ç r s ô ís s t r r r s s r ç s s tr s s s s r 1 r s r r r é r ss t s s q s s s s r t s s s r s r t s s çã r t é sã s r t r rê str t str t r s t s q r s s t s r çã
52 ít r t ór sã tr t s sã í t r ár 1tr çã r t ríst s r r s t t s s s t s s s s r s s çã tr és t çã r 1 ú t r tr t s P r s s s é t 3 s t r st t 1t sã sõ s sã t í çã s r çõ s s s r ós t ss çã st çã r r çã tr t s t 3 çã t r t 1 s té s sã st ss ét s r çã té s s s t çã r t s P r s s s é t 3 s t st t 1t sã tr t s t t 1 r r s r çõ s tr s r t ríst s s s s s r r r r t t r s s P r tr sã t r r t ríst s s r s t ssí t q té s r çã s P Pr t 2s s s sã r t t 3 s ét s q s r r st t çã r r tr s té s s q t 3 r çõ s r s s t tr t t á q r r çã sã t r t sã st í str çã t t t r sq á t çã t á r str çã ss s r 3 çã s s r t s s s s r s tr és s s sã í sã çã s r s r ss ç s r s r ss r s s r s r 1 s sq r çã ss à ç s s s t s st sã s r 3 r r r t ríst s r s s s r t s t sã r s às t s s r rt 3 t 3 r s tr s t r tr t s r sã t r t tr t s rá é s t r 3 s s tr st t r st st t tr é n t s tr t str s r t r s çã ss s t s é s r tr r ss r r ár r sã t st ss çã é t str ss s ss r s ss r s é r q ss r tór
53 sã r s r s t tr és té s t çã r tt r t r 1 ss r r st r rt st t r st sã t s tr s s ss s str s ss s rr t t t r r r s r s t r str s í s ss r s s r st 2 rt st t r st st r 3 t t r tr t s é ss s r t r str çã s r t s str çõ s sã s r t s t r tr t s s r tr r t ss çã 3 r s 2 r tér rt t s tr s r s é rr çã tr s s sã í sã é q s s ã sã rr s á r r çã r çã s r çõ s s s r ss tr é r ss t t tr r rs sã tr t s é t q s s sã rt t rr s tr t t r s sã sõ s s r r tr t s s s s s r t rr s r 3 s t çã s s çõ s r r s çã ót s 3 s t q s s t st r s rr s ã rr s t q á 1 stê str té s í r s t t t r r r t r ss t té s 1 í r s r í s t té s t í r r s á s st t r ss t t r t t t st sq s r s s s r t r s t s s r t r s tr r s r t s r r s t çã t s r tór s s á s r t r str í rt r t t s á à r r ç t t s str s t s r t r s t s t t r s r s r t r q s çã t 1 st t r r r s t çã t t t ss çã r s s s ss r s r st r r ssã íst s r r r s r ss r s r st t rs st rt ss çã s r s r ss r r ssár s r s r sã s
54 ít r t ór s r r r ssã r s s
55 ít t st ít r t t r t çã 1tr çã tr t s á s çã s r t t r çã r çã ó t ó s é t sã q s í s t r r s sã r s st r tr s á r çã t s r s t r ss s q s s sã s r s çã r str s s r s s r é r ss s r t s t s s r s sã s Pré r ss t s s 1tr çã s r t r s s s r t r s sã s t r tr t s t sã s tr t s t ss çã r r r ê sã r s st t s t ó t çã r trás s s tr s ró1 s s çõ s s r çã ó t çã ó s çã sã s çã á r çã í tr s 1 s é 1 2 s r s t s
56 ít t r r 1 s st q r s str s r á t ss s sã r ss s s r t s 1 ó ó t ó t é r s sá r t r 3 çã s r s t s P r st é s tr á s s q á s r 3 t rt r q sã 1tr í s s s r t r s st r ss s t s t s r rt s 1tr çã s r t r s r té r t ó t r r 1 ó t t t ré r ss t r rt r 3 çã s 1tr çã s s r t r s rt r r s r rt s é t r s s tr és r çã r í t s j (i) r str i s s s 3 t r t r j t N r E P t rs t s é r E j = i s 2 j(i).
57 ó t r r r çã s ss s r o q r é á1 é s r í q J é t r r s s o = arg max(e j ), j J ú t r u s r rt r rt é r r r ós o r t t r çã o ss çã 1 E u50 ( Eo ). P r s str s t r r rt sã s r r 3 s á s = s maxs(i). 1 r t é str r r 1 r rt s tr á s s t r st tr r s q s r rê s s 3 t r r t ós s çã s s s
58 ít t s r t r s rês s r t r s r s s r r r s t çã á t r s s tr s s r s t s s r r s t s r s r r r r r 2 2 st s r t r r rt r t r r r çã s r t r rt r q TED r r 2 2 é ss r r s tr s t r s r r s é r r r çã t r s t s TED N t r q r s N s s str t r q çã ú t r r í t N çã E un ( Eo 10 N/10 TED N ss s é tã st ). TED N = 103 (I un I o ) ms, f I u é í r r str r s u st s f é r q ê str s P r s r t r TED é r t çã s r t s TED N t r TED = [TED 5,TED 10,,TED 50 ]. r t 3 s r s t t r ss s st s r t r tr 3 ós r r 1 r t t q s r t ríst s t á r r ç r t s s s r r r ss s r s t t s r q r s 1 t t TED 30 t r 3 s tr s t r s r r 1 st rr à t s t s s r r s t s é r r çã r í t r rt s st r çã r q çã á à t ê é q s s 1 t t r t r r r çã
59 ó t st s r t r s s s s r st r r r r r s t çã t í s P r r t t r rt t t s é r tr és s tr s tr r s s ç s s rsã r s rt3 é M(f) = 1125ln(1+f/700), str r r çã tr s s s rt3 P r r çã s t s s r j é r r t rt r í r q ê tr és r s r r r s r t r r r s r st s N S j (k) = s j (n)e 2iπkn/N, n=1 1 k K K é t tr s r s r sã s s tr tr s ss tr r s r t t s ç s s s
60 ít t rt r s q s sã t s s s MFCC(i) = K k=1 [ ( X K cos i k 1 ) ] π, 2 20 i é i és t r X k r t r k és tr q tr s t s r s s r s st s ós á s 1 r t à t str t r s trár t 1t q s s r t sã s t t s s q s r r é ssár r r r r s t çã r str q s ssí s r r r s st tíst s é r â s t s á r r çã r t t s r t r str té q t t r r r s t çã s s t t r r t s t s s r s s str s sã t 3 s t ré r r çã ár tr és r t st r 3 çã s ss s rá r ê s rt r s t t t s s ár t t s i é tr í à r q 3 stâ Palavra(MFCC i ) = arg min p P 13 (MFCC i (k) P p (k)) 2, MFCC i (k) P p (k) s r r és t és t s és r ár t r ú r t t rrê s s 5P5 r s k=1 O = O 1,O 2,,O P, st é r 3 á1 r s r t r BMFCC = O max(o). s s s s r t r s s s t r s ss çã s s r s r t s ss s r t 2 t r t r 3 çã ss çã á r ér
61 ó s ár s í s çã r t t é s r r s t çã t s tr í t r r r s r r t r r t r 3 çã s s á s s s s s st tr s r t r rt r s t s r s r r r é t 3 s s t s F k r q ê k s t s q çã F k = i S i (k), r F k rr s à tr çã r q ê k s r s i P r t r s r t r st s r s sã t s t r r r CFT = F 0,F 1,..,F n, r 3 s á1 CFT = CFT max(cft). t çã r s st s r t r é s s r 3 1tr çã r r s t çã s tr s r t s s s é s str r s r t r r t r s s s s st tr s r t r P r s r t r á é t s s r t r s s t s t r r t ú t r tr t s A a A a = [TED,BMFCC,CFT]. ó s ó s é r s sá s t çã t t r ss 1tr çã s r t r s s s t t r ss s r t s s r r té r t ó s
62 ít t r r 1 ó s t t ré r ss t r çã ás r t çã 2 ts 1tr çã s s r t r s t çã st t s s r r r ã t r ss r q s t t s t s t r ss t s s r t r s sã 1tr í s t s t t s s r çõ s 1 r t s t s t s r r s tr r r s s s s t t s r s s r í q t s tr é r r s s r t s r t r r r t s s t s t s rt t s t sã t s r r s r é r t rt r r s st r s r ás r s r s t çã t s t r ss 1 ás r r r t t ás r r 1 ás r str
63 ó s s r t r P r t çã t s t r ss é t 3 t t r t r s r r t t st st t st s s 1tr r q t t s 1 st t t r tr t r t r s 1 t s t r s st tr st r t t r s t t t s ét t t s r t r s ár s r t r r t r r s t çã s t é t t 3 s r t r r2 r ts s t t r r r s t r s s t s t r ss s st s r t r é s s t s t 3 r çõ s t 1t r tr s r st à t t 1t r s r çõ s çã s s r t r ár t t s s t s s s r t r s st t r s s çã t r r r 3 r r s t çã t 1 st t r çã s r t r t três t s 1tr çã s tr t s t 1t r 3 ç t t r ss 1tr çã s tr t s étr s t s r r t t r ss r s s r s çã s tr t s t r ár k 2 t r r s t s 3 t P r r k sã str s r s 1 s P r rã str s r t r str r r P rã str s r t r r t r s t t
64 ít t C = {(x i,y i ),i = 1,...,256} t s r s 1 s str s P s rã r s t P r r C s r t r t é r t s s 1 s { 1 se p i (x i ) < p i (y i ) τ a (x i,x i ) =, 0 c.c. p(x) é t s 1 s r 1tr çã tr τ g (x i,y i ) r s é s s r r s s t d r tr és r t s r tr s s r s r s s 1 t r r l 1 c s r í tr s s t s s r c t s s r í tr s t s s 1 s t s trár τ g (x i,x i ) = { 1 se d < l c < 0 0 c.c.. s r çõ s rê tr s r s (x i,y i ) C sã tã s f(x i,y i ) = { 1 se τ a (x i,y i ) τ g (x i,y i ) 0 c.c.. s r t r t t r ss é t t r ár f(x i,y i ) r s r s C s r r t r s ts s r 1 s s r t r s s t s ss ó á é r r r s t çã s té s r t s s r t r s s str s sã t 3 s t ré r r çã ár tr és r t st r 3 çã s ss à ss s r t s étr s stâ s q à r r s t çã ár s ár s r t r d é tr í à r p q 3 stâ Palavra(d) = arg min p P ) (d(i) P p (i) 1), ( 256 i=1
65 sã s d(i) P p (i) s r r és t s r t r és r é r r ár r r stâ r s r t r é s r r rê O t r ú r rrê s s 5P5 r s O = O 1,O 2,,O P, st é r 3 r r t r tr t s s A v A v = O P O i i=0. sã s q s s s t r r s t çã r s tr r ss sã s r st r á çã tr t s r ss çã çã ú t s ss r s tr és té s t r 3 P r çã s r çõ s t s s s s t s s r s áss s sã s s r s r t s sã tr t s sã sõ s r r r s st çã t r tr t s r t s s r r t çã ér s A i t r i t r tr t s é A f = A i,,a n. t r tr t s s s r st r rt r q r r FAV é A av = A a,a v. s r é s r t r 3 st 3 r s P(i) t r str çã r t r tr t s s s r st r rt r q r r MAV é A av = P(a),P(v).
66 ít t r té r t sã s r r 1 sã s rr s t r t r s t t s s r s s s r sã s s t çõ s r trás s st s r s é r çã s tr s s r s t s sã s s r s sã tr t s sõ s é r çã ót s q r s sã sõ s s s r ss s r sã tr t s ár ê tr s s r 3 s st ét t r t s 1 r t s tr t st s é s r â tr s í s s s r r t t r s q r r s t çã s s s á í ã á ss çã r t tr s t s s s r s q r r s t çã sã s s 1 í ã é t t rát
67 ít s t s 1 r t s st ít r s r s t s 1 r t s st sq s çã t s t çã sã s r t s çã té t s s s t r r t st çã é s r t çã r çã 1 r t 1 t é s r t s tár s r s st çã t çã ó t s P2t s s t s 2 s t 2 r t t s á r t t çã s ét s r á s s s r 3 r ss t s s r t s s ó s r t 3 s t çã s t t r s r t r s t s r s P s s s r ré r ss t s s às t çõ s r st s r t s str t r s s sã t t çã t s t r ss s t çã s t s sã s ss çã r s s P2t t r s s ó s t r r s s s st s r 2 t s t t r P r s t q té t çõ s stá s ss r s r st r s st sq s s st t s 2 r P2t r t t st áq r ss r t r
68 ít s t s 1 r t s s s ôs s st s tô s q r t s r s ç t s r 3 s r r t s s s çã r t r tr rt t t r s ást r ã t r ú r s t s ts r r t t s st s í s r s s s s s r t t t t r t t t t t t s t t ã á t 1 stê t s ts s s s í s r r t t s t s t s r st t r s 3 r P r s s r ós t s r str à t çã çõ s s ss s t s ã r r s s t s s P r st t s s t st s t r s r s t str s t s s s t s r t s r çõ s t r tr s str r é st r r s s t s r ást ã t r tr s r t s r s r s s tr r t tr r t r tr t s s só s t s s r r s s r s r t s s t s só s r t s s s r á s t tr t r s r r t t r çã st t s r t tr t r s r t t r t t s s ú t s s s s r s r s t s s s t s t r s r t ríst s
69 s s r s s ss r P ást s r s ss r P ã s ss r s q t t 3 str s s s r s r str s r t r s çã 1 t r s s s r t str s á r t t 1 s str s 3 ts r s çã t r s s r t s r r r t t s s t ã t r s r r r t t st st str t r çã s s r t st s s st át tr ê s t r tr s r s s s r s t r çã r ô s tr s t r s st sq s q s çã s s t r s r t s r tór s s s s t úst tr r r r çã s çõ s stá s çã rt t t r é str r s str s r t r s t s st t 50 2 s s r t r t t r t r str r t t r s str s r t t r s str s s s str s r t r s s tr r tór stâ 1 tí tr s s s r
70 ít s t s 1 r t s r q s çã str s s s r s t r ô r ç r ót t r t t t r q s çã á q s çã t r s t s t ã r s r s só r st t q s çã t é t r t st s tr és t r çã â r ç r ót t r ç r ót s é r st r r rt r três r s r tr s s r tr r s t s r t r s 2 1 é s q t r tór s r ç r t r tr r t q s çã é t tr és t r çã r ô t tr és t s ré r s 2 t á t é r rt r s q ã rt r t r 1 tr s r s q s çã sã ssí s t r r s st ó s s r P tr t P s 3 t r r st tr t t r r çã s sq s ss á s r tr t r t r çã é t tr és t s ré r s s s r ç t s ó s ós s 3 çã q t r á s r 1 t r é st té s çã 1 p t s á ç s r t r q t r ç é s r s çã p t r s â s r s r ç r ót P r ér tr s str r s t t t s çã r s ós t 1 três s s t r é t rr
71 s s r tr s 1 r r ô r í r r é 3 r s r 3õ s s s r é t 3 r r r q q t s é t r s ss rr r t r ér tr s r q s r r ú r s r t r s s r í s r r rã r r é r r ó q 3 r í t s ró1 s s r s s r t r stá 3 s ssí t t t r r í s r r s r é t 1 q r q ê á1 t r á t s 3 s r 1 t st s r r t 1 str r r q r rt r s s s s tr 1 té 3 1 r ss t s s r s t s 1 r t s s r s s t 2 t P r ss s s r rs s r s q t 3 r q s s r ss s s r s str s tr s str s t r s t r 2q st r q s ó s r r s t s r t t í r r q ê str s r í r r r q ê s tr ss s
72 ít s t s 1 r t s r s tr r str t r t r r rã r r r ã ást s r r s tr r s t s s tr r t s t r s
73 çã s 1 r t s r ç r t r t s r r às s s 1 t s q s r í t ss ã á r s s t r s r t r r tr r r Pr s r r s tr r s t s s t r r r t s tr s q s çã s q s çã s trár t ã r q r t r çã â 1 t s s t r t r r ç r ót r s r sã s s r r t r s í s t r 3 q r s r 1tr í s s s t 1t r r s r s í s s s 1 r t s çã s 1 r t s Pr r s 1 r t s 1 t t çã s t s s r s tr t s s r t s r r t ss çã
74 ít s t s 1 r t s s r s t s 1 s r r 3 s s ss r r st r q 1 s r s r s t s á s ré P r r q 1 t s t s ss çã ss çã é 1 t r r st ár r s sã ss çã é t s r ssã íst s t ss r r t r s r st t r 3 r s P r q t r s s 1 r t s ss çã r r 3 s s çã r 3 rt çõ s s r s t s 1 s sã é µ rt s s rt çõ s s s s rã σ s r s t r r r tt é r tr r t r çã tr s s s t s s s t s ss çã ss r t r t s s r s s tr t s t r ss s sã r t ê q q t r s q r ã s r r q sã tór P r r çã ár t s s çã tr t s 3 str s t 3 s s á 3 s t 1t r r r s s s q s s r t r s r 1tr í s s s s s s çõ s s r çã ár t rr r s s r t r s s r t s ss ár s r r s s r t r s s r t s ss t r 3 ár s r t r s tr s s r s t t s r t str sã s r s ár r t st s t s ár t r r t t s r s á s s s t s s ár s t s q q r r r s t s s r t r s r ár r s s ár s s s ss r r tr r ss á s r s r t s str s çã r t ár 1 s r ss r s ár t r s s r s t t s str s é rt çõ s s t s str s s s t r t s r s çã s q s é t 3 t st r st t tr r ss r r ss é 1 t 3 s t r q rt çã s t 3 t st 1 t t 3
75 çã s 1 r t s r s r ár s s s r t s t s çã tr t s é s s r t r s t s s t tr s r t st s r r r s á t r t s s q s t t çã t st s s r r s s r t r s r r q t r çã t r t t t s q ê s t s t t q r s rsõ s t s ss s r r s t çõ s s r t s t s s r r s tr s s s s r r s t çã rt3 r r s st t r s s s s r ss q r s s t s s rá t çã t çã r t st s 1 q t à s çã s tr és s r t s s s ts ã é s r s t s t r s s s s s tr 2r t t 1t á s r r r çã íst st r s t s r 1 çã t s t s s r t s sã t s t r tr t s s r ss çã çã r t st s s ts ã s r s ts s r s t s t q r s t s r t s rt r st ú t t r r s t r s s s 1 t t r r çã r rt s t r t r s s s s str s t s 3 r té st t P r r s çã s s r s sã r s t s çã st t t P s r s s r s s s r t r s s r r s t r s tr s s r t r s s r ê s s s r t r s s q s t s r t t r ê s s r ú r tr t s q r rç s s s r t r s r s s r t r t é s st çã r s só
76 ít s t s 1 r t s çã çã r s r r t s çõ s tr s s r t r s á q q t s tr s t t s r r st 3 s r t r s ã t s çã tr t s s s s çã t ár
77 çã s 1 r t s çã rót s tór s P r r t çã s t ss çã 1 t t st rót s tór s s t s rót tór é tr í str t s t r tr t s ss r s tr 3 s sã s r s t s stã r st r tr 3 s sã s r s çã rót s tór s
78 ít s t s 1 r t s t t r ã tr r r tr r ã Pr s r Pr s ã t r r t r ã ást s r tr r ást r s r Pr s ást s r t r ást s r s r t s r s tr 3 s sã r tór s 1 rt r çã rót s str çã tr 3 sã str 1 s r t q é s r á q ã á r çã r t tr s tr t s str s t r ã r rr r t t çã t s s çã r tt r s s r stã s t 1 s rt r é ssí s r r q é rt é t r ró1 s s r s ss r tór r s t r s 1 r t s s ró1 s s çõ s t s 1 r t s 1 t s r r r t s rs t s t sã s
79 1 r t s r çã s r t á r t s s t r çã r çã s r t á r t s s tr çã r çã s r t s t r r í çã st 3 r í t tr 3 r í s str s á r t s í s t r rê r r r r st 3 s r s s t çã st 3 r í s tr 3 r í s str s s s r t s í s t r rê r r r r st 3 s r s s s çã st 3 r í s í t r t s í s tr 3 s s s s s r s r r r st r í r sã s s r s s s s s çã r çã r t t s 1t r s tr t ã í s str s t s 1t r s à s r r r st s st r ss s ã tr s çã t t r s s P r r r s r t s r t r s r 1 t s t st s ss çã ár tr t s s tr ss r t é tr í r s t r s t s str s r s r s r çõ s tr t s s tr s t r s r t s r ã ã ást t P ã P ást r P ã r s tr t tr r s r t s t r s s r s q é ssí s r r tr t r s r t s s st s q st s r r s t r
80 ít s t s 1 r t s P ã P ást r P ã r s tr r s s r t s t r s P ã P ást r P ã r s tr s r t s t r s P ã P ást r P ã r s tr t r s r t s t r s r q ê t t r r r r çã s t s r 1ã s r s t r s P r r r t q s çã t t s s r t r s 1tr í s r r s t 1 t s t r r str r r s t 1 s r r t r çã s t t t s r 1 r s r r s TED 30 s t r s r çã s r r é s rá q r çã rt ss r 1
81 1 r t s r r çã TED 30 s t q r s t 1 q s çã s ã s r s t úst s sã t r r t r 3 st t t TED 30 s s r r s r t r ss t t r rt á t r q t s s r t r s 1tr í s sã t s s çã t t tr s s P r r r s r t s r tr s st 1 r t r 1 t s t st s ss çã ár tr t s s t r s tr s r t s ss r t é tr í r s tr s t s str s r s r s r çõ s tr t s s t r s tr s r t s r s r r s t tr r ã t Pr s t r tr r Pr s r s tr s t s r
82 ít s t s 1 r t s Pr s t r tr r Pr s r s tr s t s ã Pr s t r tr r Pr s r s tr s t s ást r s r r r s tr s t s s r t s r s q é ssí s r r tr tr s s t r r t s s st s q r r r çã t r s s r 1ã s r s s r s s r çã t st 1 r t r t s t s s r t r s q r s s st s tr t r r r s r s t s s t st s ár s s r tr t t t r r st t r t s r s r s t s s s s s r s r t s s t s st t r sã 1 t st s s t s r í q 1 r r s r çã r t s s t s t t s sã s s s t st 1 r t r r s r t t s s r st t st s r t t s s t s s r 1 t s s r s t s r t s r sã str s s tr 3 s sã r t 1 s rt r r str s r s r r t r t r st s s r s t s r s
83 1 r t s r tr 3 s sã s r s 1 r t r t t t s s t s s r 1 s rt s r s 1 r t r t t t s s t s s
84 ít s t s 1 r t s r r s s r s 1 r t r t t t s s t s s r s r s r r r sã s t r s st 1 r t r t r t s s r r s tr 3 s sã r ss s q t s r s t tê s r t s t s s r s s s 1 t s t r s r t s ást à tr s rê s r r s 1 r r t r s s t rá s r s s r s r r s t r r rt r st r s t t r r ss r 3 q r s sã sõ s é s 3 q s s sã t s tr s é st r s s r t ríst s sã ó st 3 r í t í r t r sã q s t s s s á t s tã t ss r r r r st 3 r í r sã s r í t s tét t 3 s str s á rt r r s r r s t çã s s r t r s í r t s í s t s t r s s s r r st s st r t s
85 1 r t s ár s s s r r í s tét é s é r ( ) Es SNR(dB) = 10log 10, E r E s E r sã s r s t t s s r í r s t t r s r t tr és s r â s q t é s r ss s = s µ(s) r = r µ(r). ssár ss E s = σ 2 (s) E r = σ 2 (r). ( ) σ 2 (s) SNR(dB) = 10log 10. σ 2 (r) s rt r q çã r s r â v P r 3 s σ 2 (r) = σ2 (s) 10SNR/10. r = r v σ2 (r). r í r r t st s r t s í s s r í s r s r s té s r s t s r s í s r í s s r s t s r í ss str str çã N(µ = 0,σ 2 = 1) r s s r t ss rt 2 ss r r r s st ú t t st r s r r t r t á q t r t s s s s tr
86 ít s t s 1 r t s r s s r s çã r í t ss r s s r s çã r í t r s
87 1 r t s P r s s t s r í s r s q sã s r ê st r t s s rt t r rê r t s é r s t r s r s í r í ssár r r r s t t s s á t r 3 t r é s r çã r rt s t s á t tr çã r s t s s á s ss s 1 s s r tr r rt t r ss t t r r s r t s s s s s sã sõ s ár s r s t r r s q s r s t r í t r t é t s q s s r s s q s s s t r s 1 r t r í r s sã tr í s s st tíst s r q s t r s sã ró 1 s s é s stã s rã ss t t s r s r t t tór çã r 3 t st 3 r í s r t 1 r t t r r r í t ss tr 3 s str s s s rt r r s r r s t çã s s r t r s í r t s í s r s às s r r st s st r t s ár s t r rê s í s t st s r str s r í str s s str çõ s r s s str çã N(µ = 0,σ 2 = 250) N(µ = 0,σ 2 = 80) N(µ = 0,σ 2 = 20) N(µ = 0,σ 2 = 8) N(µ = 0,σ 2 = 2,5) N(µ = 0,σ 2 = 0,8) N(µ = 0,σ 2 = 0) s str çõ s str s ss s r s σ 2 r t s r çã P P
88 ít s t s 1 r t s t s s r à q çã PSNR = 10log 10 ( MAX 2 MSE ), é r á1 tr í 1 é q r rr r s s sã s 3 MAX = 255 s r MSE = 1 mn m 1 i=0 n 1 o(x,y) e(x,y) 2 j=0 sã r r r t r s t t i(x,y) e(x,y) 1 s rr s t s r r r té s t 1 s rt r t r s í s r í s s r s s r s çã r í s ss ss 1 r t r çã s str s t s st sã r ê st s s st t r s st ár r t é s r ã é r 1 t r rç q s s s r s s t s r r t t r s ss t t r 3
89 1 r t s st 3 r í t s P r r r sã s rt s s q á r í s s s s s r s r r 3 ú t 1 r t çã r í s tét st r í r t s í s r s t às s s s s r s s í s r t s r s r í r s t t r té s t 1 s rt r t r s í s r í s s r r í t ss r s r s t t í s ss s s s s s
90 ít s t s 1 r t s r 1 rt r r r t s í s r í t ss r í s ss
91 1 r t s r 1 rt r r r t s í s r í t r s r í s ss
92 ít s t s 1 r t s s r q s s s s s r s ã s r s á r t r í s r s r t só é r t r q á t t r rê s s s r str t r s st q 3 q s ár s r í t t s r rt r çã s s r çã s s r í s é r r 1 t rt s çõ s r í t st s t r s q s r r s s ár s t t r rê r í t t s q s r 1 s t r tr t s r r t t r tr t s r 1 t 3 s r q q t s s ss r tr r tr t q s s s r t á st t r í s s r s t çã r r s t çã t r t s ss r t t s 1t r s tr t st 1 r t 1 t t r r r st 3 s st q t r t ss s ã tr s s r t r rê str s st t r P r t t q s s t str s t s r s ã r s t s s t r r r í s t t st s ss r s st s str r té t s s r t s t r s tr s t 1t r s r t s r s r 1 r t st s st t ss s ã s s t t str s t r s s s s çõ s s t r r t t 3 str s r s s r st s t s ss t tr t t r s st
93 1 r t s s é r ss r ár r ss s t s str s r s rt s str s st ss tr t s t str s s s ss s tr t t str s q sã s r s t s r t s s ss r s sã r t s t s r s t s r t s sã t r st 1 r t sã str s s tr 3 s sã r t 1 s rt r t rrê s s s t s s r s t s s r s r s s s rã t s r tr 3 s sã s r s r sã s s s r s 1 r t r t t s 1t r s à s
94 ít s t s 1 r t s r 1 s rt s r s r sã s s s r s 1 r t r t t s 1t r s à s ssí s r r q s r s t s st 1 r t sã s st t s 1 r t r t s t s s r s s t 1 s r t r s str t ss rr t s r s t s s st t s r çõ s t s t r t á r t t s tár s r s tr r t s 1 r t s r 1 s t s s r r s s s r ss t st r ró1 r ô r q ss t r çã â q s çã á ss rr r á ss rrê r s r r q r r r t s s 1 r t s 1 t s s sã s s r s çã r s çã r t t s t t t st s s s s 1 sã ssár s r r s ss s s r r 3 s s õ s q t s s s s às r t ríst s s ú r ss s 1 r t r s tr é s tr s t s st s st s t s ss étr rã s s r t r 1 é à t tt s r s t s r r2 s 1
95 tár s r s s r s ô s t r s r s sã ssár s r rr r r r s r s
96
97 ít sã tr s t r s sã st tr st sã s s s r t r r t t s r s s ss té s st s r t r á r t r r r 3 áq r s s st t r s t 1 r t r sã q st t r t r r à t r r st r t ár sã t s tr s 3 s á q s r q st ár r s sq s s r s t s r s s t s s r t s s r t s r r s t çã s s r s s r t r s s q r s s é s r st 3 r í tr t ét t é ê s s r s q r ã ss t r s r 3 çã s q s çã s r s s r t ss q t s s q s rt s s t çõ s s r t 3 s 1 r t s s r s r 1 t s r r t ssí r r q r s t sã s r s çã ss r r r çã tr t s r t s s s s r s t r t t s 1 s s r r s r s s r s s t s r s t r st 3 3 q s st s r ss r çã s s t t r rê
98 ít sã tr s t r s t çõ s tr s t r s q t s t s r s t s t t r ss t s r r r á t çõ s r r t s à t t s t s tr s t r s r st sq s 1t sã s 1 r t s t 3 çã s s r t t s s s s r r s ét t s r r çã t 1t r tr t r st s st át st ê tr t r s r s s s r 3 s s rs t r r s ís s t s r 1ã t r sã í r í é ssí r s ê sã r q s t r t 3á sã st t r 1 t t 3 r t r rê str t s r s s r t q s çã á s tr s s r çã s á tr s r s t r çã â s r 1 t t r r 1ã s s r tr r r r r r r s t r t st ú t é t r s t r s tr t é r r çã t r çã r s s s r P r çã t t q s çã r çã s s s t sã st t t s s s s r r çã t t r ss tr és r çã t t é ssí 3 r st s r s s r s s r r 1 3 r r çã t r çã s â t s â t t t t r r r r t t rt s t s tê r r rrê t r s t s s 3 s t r s r tór s s r tór s ss r st t r é ssí r 3 r s ç str s r s r r t
99 rê s rá s r t r s r t r ts t rs r s t s rt 3 r 2 st P st t 2 t r t r s P tt r t P t t r tt t t st 1 s 1 t ss 2 tr t t r Pr ss s t r tt r t ss r s r s P r r t r rt t s r t t t 3 r rs t3 tr P 1 t r ss r 2t r r t r t ts t r r r P t r s r t tt r r t s t r r s s s t t r 2 s r t st t2 r 2 ss 2t rs st t r s t r s rst r r
100 rê s rá s 2s r r 2s st st t t s s t r t r t r r t 2st s tr r s P tt r t r r r r r t s s t t t t ts t r t r t s t t rt t r s t Ps2 2s s 3 t Pr ss r t t r t rs r t s r t r t ss t r s t s 2st s 2 r t s s t rs s r2 t r t s P r t P r r ít 2 rt 2 2 q r 2 2s s t s r s r s str Ps t r r ss str r Pr 2 r s 2s s s rs r r r tr t s r t s 1 r t t r t r t t ts 2st s r P r t r s r r t Pr s t t r t2 r t r s P tt r t r s r r2 r s r t r s r r sts r rr s s t r2 r t Pr r ss r r s r r
101 rê s rá s r t t tr P r2 st t t r2 t r s Pr s t t r r t r s P rt t r t s t r r r r s 2 P s r t t s r s t s r ts 2st s r 2 s s r ss Pr ss 3 r 2 r t t t r q 2 t r s r s t s Pr ss t s r r 2s s 2 r t r s s r s t r r st ts tt r s t q s r r t s r t P tt r t tt rs s r s r 2 s t r 3 t t s 2 ts r s t t st r t r s r t 1t t r tr r t r s r r r2 s r t r s t s Pr ss s r t 2 s r s t t 1 t t t r t t r s str t t s Pr s t s s t t r t s ts r st t2 r s r st P r s r tr r r s t t s r s2 r r t t s 2 s s t s r s t s st s Pr ss r t r s r r t s t r s P tt r t P r tt t r ss
102 rê s rá s 1 t t r t s s s s s s t r 3 r s s ss rs t st tt r t s t t st r s t P r t r t t r t t r t t r r ts t r t r t t ts 2st s r st ü t r t s s s t r st r t r s t s s tt tr t t 2s s P tt r t tt rs 3 r t t r s r tt s t t rr s rt rs ss r s P r P r r t s s r tr 1 s r t 2 s r t st t t r s t r s P tt r t r s P r r tt s t t s ts t ss s r s s s s s r r tt t t s t 2s s t t rt r 2 r r ár s t t t s2 r ts t r t t s 2 s 3 ó 3 r s s r2 r s r st P t q s r t t r r r t t r2 t P r t Ps2 2 r t rs r s r 3 t t s Pr ss t st s r s
103 rê s rá s s r r ts rs st r r r2 t s t r t r t r s r tt s ss r s t r t t r t s s ts s 3 r t st ss 1 ss t s r t st t2 r r s Pr ss Pr s s P r t s 2 t rs r P r P t t t r2 t s t tór té r tt s t t s ts t ss s tr t t t s s r t s Pr s t rr s t s r r t t r Pr s t 2 s r r s 2 P r t r r t P P 2s s s r t st t2 r Pr st t t t 2s s rt t2 rt t t r P t s t r t t 2 s t t s s t r tt t r s s s 2 s r r2 2t r t s s r tt s t s 2 s ss s t P t rs P t rs 4 P26 s r s t t s r 4P2t 6 ss P r s t tr t t st r 2s s 2 t rs çã
104 rê s rá s tt r t r P ss rs Pr s t r t r P tt r t t3 2 P r t P P r t t r r t t s Pr s r t rs rt r ts r 3 s r r t r r çã r 3 s 2 ts r t t ss t t t r t r s s r r t Pr ss 2st s r t t P r t t r Pr s t r t t3 2 t r t t r 1 r ts t s r t st s r s t r t2 t s r2 t r s 1 r t t s t r t s tr r t s r r r r 3 s s rt r s r ts r t t r t r t t ts 2st s 1 r s r r t r t t s t t s t t t r t r r tt r t s t s s t ss 3 P 2 s t r s t 2r t r r 3 t r s t r s t r s P tt r t t r t2 r t r rt r2 st r t s 2 ts t r t r t r s 2r t s s 33 st ss t r r t s rs r t s 1 rt 2st s t t s
105 rê s rá s 1 t s 1t r t r st s r t t r t t t t r s t s t t t r r t t r s t r t r t r s st t t r s r r t 2 ts t r t r t r s t t r2 r t r s t s s t t tr r s t t r s t s P tt r t t P 2 r 2 s t t t r 2st s s rs t r t 2 s str t t s t 2st s 2 2 r t str t t ss t r t ts t t r s r tr s t r t 2 s r r r s s s t r tt P r 2st s s r2 ts t t t s 2st s Pr ss tr 3 r r r 2s s t t q t2 s r t s r t s s r t r t t st t r2 t r s t r t s r s 2 r s r r t ts r r t r t r t r s
106 rê s rá s r r r r r2 r t s r r ss s s r t r s t r 2s r r s r r s s t ts t r t r t t ts 2st s r s t t t r 3 t 2 r t t r t r t t ts 2st s s t r r s t t r st st t t 2 t s r t r r t 2 r r s rs t2 r r2 tór té r tt s s t r s t ss t P t s tt tt s t r 2r r r2 s s r t s r2 t s s r r s rt r s t Pr ss t r s t r s rs t r r t r t t r t t r t r t s t t r P st r2 r r q 2 t q r 2 st r2 t str Pr ss 3 rt r 2 s 3 3 r 3 t t t ts rs t tr s Pr ss 3 P r s r q 1 r rt r r s Pr tt r P ss r r s P ss s r r r P rr t s 2 t r r P2t r r s r
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P P Ó P r r t r r r s 1 r r ó t t ó rr r rr r rí st s t s Pr s t P r s rr r t r s s s é 3 ñ í sé 3 ñ 3 é1 r P P Ó P str r r r t é t r r r s 1 t r P r s rr 1 1 s t r r ó s r s st rr t s r t s rr s r q s
Διαβάστε περισσότεραss rt çã r s t à rs r ç s rt s 1 ê s Pr r Pós r çã ís r t çã tít st r t
ss rt çã r s t à rs r ç s rt s 1 ê s Pr r Pós r çã ís r t çã tít st r t FichaCatalografica :: Fichacatalografica https://www3.dti.ufv.br/bbt/ficha/cadastrarficha/visua... Ficha catalográfica preparada
Διαβάστε περισσότεραP P Ô. ss rt çã r s t à rs r ç s rt s 1 ê s Pr r Pós r çã ís r t çã tít st r t
P P Ô P ss rt çã r s t à rs r ç s rt s 1 ê s Pr r Pós r çã ís r t çã tít st r t FELIPE ANDRADE APOLÔNIO UM MODELO PARA DEFEITOS ESTRUTURAIS EM NANOMAGNETOS Dissertação apresentada à Universidade Federal
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