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Taa 3 - Bepooc ooe pax coco oo Peaa Bepooc acca coco pao P(D1/A*) P(D2/A*) P(D3/A*) P(D4/A*) P(D5/A*) 0 0 1,0 0 , G 0 0 1,0 0 G 0 0 0,484 0 0,0 0,560 0,440 0 G Too - 0 0 0,245 0,630 0,0,644 0,221 0,135 0 Too - Too - G 0 0,275 0,392 0 0,aocecy apy aeca oo pe p aocpoa yoo oopyoa eoo oceoaeoo aaa cacecx pee. Cy oo eoa aaec o, o aae epec o aocec pa j (apep, cep oea ae pooo oc) aec aop pacoaa. B acoc o peyao cpae oyeoo pee c eoop apaee ycaoe paa, o aeee aoee opa o oee pepaaec, o epec oepeo aocec pa oea. epepa a opao aocece pa oceoaeoc peeo aax 1 2 coc, o oo oce epe eepoo paa yaoc ycao aecoe cocoe ooa.

Tae poee pace eoo oceoaeoo aaa aoee opax pao, ope ya aocecx eco. Oaaoc, o p pee o coco oea ocaoo ep a aocecx paa, po ae oc oe oceo apy.

Paccope paae xapaepc a yoo ypooo oopyoa. B oceee pe ce oee pooe peee axo eo cepe, ae oooc oca poecc cox cceax pao ppo c oo eoopx yepcax pecae oee. Ta, aae A.X.Mpaaae peo cooa paae xapaepc peex po aepo (paepoc Xaycopa, oaae Xepca, pye) aece aocecx pepe, opeex cocoe oeo ypae.

Aapy pa peex po aepo exooecx apaepo, cx poecce ype ca, oo ae ae x paay cpyypy, o ooe ye pee paax xapaepc oya paec ay opa o coco yoo oopyoa o a eo opao cyaa, .e. e poee aoo cepea.

O paeo copeeo eop aecx cce ec eop aecoo xaoca. Xaoco aecx cceax, oe o ooo yooo, oo ypa poopoa a eoe poey pee. Ec yaec ycao, o eoopo aeco ccee aocpyec eeppoa xaoc, o ye ee apaepo oo yopo ee ee, a eo oeceoo aaa xaoecoo oea oy cooa ea coco paccapaex oeo ypae, apep, ye ce oppeoo paepoc paepoc peaa m.

oppeoa paepoc opeeec epe oppeo epa N C( ) = lim [ Q( - xi - x )], (13) j N N i, j=e Q(z) y Xecaa:

1, z Q(z) = 0, z0, xi - eop, oca ooee opaae o aoo pocpace oe pee ti =t0 + i (i = 1, 2,, N);

- eoop aa poeyo pee;

N oe op.

Bea C() opeee ooceoe co ap oe, paccoe ey oop e oee. Paepoc opeeec o aoy acoc ln C() o ln.

Ec paccope ooe aooe pocpaco paepoc m, o oopoo opeec eopa Yj(m) = {xj, xj+1, ,xj+m-1}, cocpypoa oceoaex ae e x (j=1, 2, , n=N-m+1), o p ee t oy o pocpace paeop, ocpooy eoopoe oeco, oppeoy paepoc oopo m oo c epe (13).

Bea oppeoo paepoc ec epo yopoeoc e aece aoo oe cy aocec pepe, opee cocoe yaex oeo ypae.

coy pa peex po aepo oea ae pooo oc ae oppeox paepoce oeaoc cocoe ooa poecce cyaa.

Heoope ooe p ooe aecoo xaoca p ype ca oo oc coy ypaee poox oea aa ypoypa, oopoe oce eox peopaoa po ypae a. o ypaee oycae cyecoae xaox oea p ocaoo oo aye oyae c p acoax, paeax epay eooaoc ayoacoo xapaepc.

ooy a eee oppeoo paepoc oe oaa e oc oopye oop ooa, a a eo ecpaoc po ooe oea c acoo ee, e acoa oea o yaoc ooa, a o aye pea ayy ocex. oc oop apoe ooa oe caac a yee ay yae c. Ceoaeo, ooee eeppoaoo xaoca oo oc ee oea aa ypoypa, a coepee opo ae oppeoo paepoc oe oo ea aap c y ypo oopyoae.

Aapy acoc lnCm() o ln o eo, o paepoc m eeo yeaec p m=13 epecae pac, o ceecye o o, o apecppoae oea ae oc e eeppoay ocoy.

Ha o ocoe papaoa coco oe coco ooa poecce cyaa o ee oppeoo paepoc oea ae oc (A.C. 1800011). Ha pcye 4 oaaa peaa oo cocoa. o epe oca ooa aee m pace. B aece aocecoo pep pa ea d= 2/1, e 1 oppeoa paepoc ooo ooa, 2 oppeoa paepoc eyeo coco ooa. paccapaeoo pepa d = 1,4. o aee oo p aece aooo p ype oceyx ca Heapoc P-2 o ey pa oepaoe peee p oee coco oopyoa.

oeee aeco cce oo oxapaepoa c oo aox oppeo. oo, peea oceoaeoc aepo ae oc oceo apy, paepaac p aopo c oceoaeo opaca ca (paoc a). aop peca coo p cpex epeex, eoxox peocpypoa apaopa.

Pcyo 4 - acoc m o paepoc m:

1 ooe ooo; 2 opaoaoe ooo.

Papaoa aop opeee aox oppeo pexepo ccee oopa pax eeapx cao peex po aepo apaepo ype. caoea paa opa apaopa ooo oeoo ooa p aae peex po oea oceo apy. B aae ype apaopa cpypoa opeeeo oac aooo pocpaca, a o epe oca ooa ao oppe aoo caa ye e xaoy cpyypy e eoo ya.

Ta opao, peyae aaa peocpypoax apaopo a ocoe cao peex po aepo apaepo poecca ype oo poec aee o pa eeo ccee pecaa acyee ee peeoo coco.

oo accecx eoo aaa peex po aepo apaepo ype, aco pe ceae eo cyax, oa eoxoo poec aa poecca c ec o pee xapaepca, epe pyoy oee opaoy pecae cxooo peeoo pa, pacaa eo a cocae. eo ocec oeoe ae eoy opao peex po aepo apaepo, ee - aay.

o eo aaec paoe cxooo caa o ac y, oye eoopoo pooa (mother wavelet) ye ca, pace co o pee. Ac ep wavelet oaae aea oa cec. aae oepaec o ocoeco, o ee cpo caa o y a peea eoopoo oeoo epaa e yeoe cpeee o ce po oe, apep, o ecoeo ocpyx cyco, o oop ca pacaaec paax paooo aaa ype.

oaoc eeo ooe ocyec oa aa cao poce eoc x acoo- acax xapaepc. ooy ocoe poe ee aaa aac oaa oe paao, a pao cax c eee coco oea poee acoo- peeoo aaa, ocoeoc ecaoapx cao.

Ha pcye 5 pee pa paoe caa acoo- peeo ococ. ype aa oaye acoy oac, e oao o pee oopao ope. Peae ca peca coo cyy cocax, acoa oopx e oe, e ee x pooeoc. ooy eoxoo, o cooacoa opa a eea ooceo ax epao pee, a oacoa opa oaec a oee pooex opeax pee o ooo c oo ee y.

a) ) Pcyo 5 acoo-peea oaa a) ee- peopaoae;

) peopaoae ype.

Peyao ee - peopaoa w(s, ) ye paoee caa o ceecy 0 ((t-) / s), opaoaoy eceo y 0(t) c oo epeoco pace o pee.

Bop aapyeoo eea opeeec e, ay opa eoxoo e caa. a ee ee xapaepe ocoeoc, ooy oa c oo pax eeo oo oee oepy e e coca aapyeoo caa.

B peyae poee oocex cceoa a oex (apoec, peo, yc) pyx ax cao, oyex peyae ype ca aao Cp, a oceyeo aaa pa aepc ee DOG (Different of Gaussians) c apaepo pooo m=2, oop aaec MHAT ee.

Be peyeca ee aaa o cpae c accec eoa aaa.

Bee peopaoae ooe: oaoa ocoe o; poaapoa acoy ayy eoc caa; epeype poc y ee poox; c paae xapaepc caa.

B aece oo oooce eoa a pcye 6 pecaeo ee peopaoae yx oex cao c oo MHATeea.

Pcyo 6 Peya MHAT peopaoa oex cao B e ac pcya 6 pee pacpeee ae oeo paoe w(s, ), o opoa ooeo pe apaep ca,- o epa peeo aca oc S oapeco acae. pe cee oa cooecy o ae oeo w. a o MHAT aa ooe eo pa a caa oapy oe paa opoo caa.

B pe cyae ee pecaee oo paccapa a opaa peo aaa peex po, papaoax paee, cxo pyx o. Ta, cyecye yoa c ey eoa oapye cce coco o ee pooo caa ee aao. o oaao a pcye 7 c oo MHAT peopaoa y c ocoeoc papo pooo. H ac ee- aaa oo yaae a pacooe o ocoeoc.

y oy oo o oapy apy, ye ceoo epepoa peeoo pa. Oao, a eco, epepoae cepeax ax ec eoppeo oepae -a eycooc ooceo oo aepo. ooy aocpoae o pooo p a yo apyeo. A o ee peopaoae, a oaa pace, ae ycoe peya ae p oo ayeoc ax. Peypye aop ce poox ca c yaee yo epeacapoae, o eae ee peopaoae.

poe oex cao, ee aay oepy peee p aepo ae oc oceo apy p oopeeo opoe a cocoe ooa. ycaoe ceye aooepoc.

Pcyo 7 Bee aa y c papo pooo Ha pcye 8 pee peya ee aaa oea oceo apy G(t) aae oe pao ooa, oopoe oce oea a oepxoc oaaoc paec eoe. oa ooo ooe (apa 1), paac oocee epoec oopec ea epxe ac ap, o cooecye oaco oa oea caa. p eoo opee ooa (apa 2) xapaepo oee cooacox cocax e ac, a epoec oopec ea ypyc, pacac.

1) 2) Pcyo 8 Macao-peea paepa eoeoo ooa:

1) aao oe; 2) oe oe.

Ha pcye 9 pecae ee peopaoa oea G(t) c o pae, o ooo oce oea oaaoc co oe. B oacoo oac a poe ceo epaa ype aca eae coxpac, poceaec oxoa a epoecy cpyypy.

oa ooo aaec (apa 2), yeee eoacax eae cooacoo oac, o oop, o aey e o a ecopox, xaoecx oea ooa, ax eo opee.

1) 2) Pcyo 9 Macao-peea paepa oeoo ooa:

1) aao oe; 2) oe oe.

poe aeceo xapaepc yaeo peaa cyaoo poecca oopy oe e a pae oepa, e aoaoe aee ee oecea oea.

oeceo xapaepc ee peopaoa eoxoo cooa eo epeece xapaepc.

oa ep caa oe acaa epe ayy ee peopaoa e:

ds d E( f ) = f (t) dt = c-1 2 (s, ), (14) w se w2(s,) xapaepye epeece ypo (ooc ep) cceyeoo caa f(t) pocpace (s, ) = (aca, pe).

poeee pace oaa, o oeceo oe execoo coco ooa oy cooa e:

K K E(G ) E(P ) X = X =, (15) G P H H E(G ) E(P ) e E(G) E(P) oa ep oea oceo apy ae pooo oc;

ec - ooaa aao oe pao o ooo.

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