I?i?noa?noai ina?oe Oe?a?ie

Oa?iii?euenueeee aea?aeaaiee oaoi?/iee oi?aa?neoao ?iai? ?aaia Ioethy

*i?ia Eany Aiaaeai?aia

OAeE 681.3:519.24:303.725

Noioanoe/ia Iiaeaeue aieiniaiai neAiaeo

aeey Caaea/? Ae?AAIINOEEe ?eoi?ee na?oey ethaeeie

Niaoe?aeuei?noue 01.05.02 – Iaoaiaoe/ia iiaeaethaaiiy oa ia/enethaaeuei?
iaoiaee

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

Oa?iii?eue – 1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia o Oa?iii?euenueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao?
?iai? ?aaia Ioethy I?i?noa?noaa ina?oe Oe?a?ie

Iaoeiaee ea??aiee aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Ae?AAAI ss?ineaa Iao?iae/,

Oa?iii?euenueeee aea?aeaaiee oaoi?/iee oi?aa?neoao

?iai? ?aaia Ioethy,

i?ioani? eaoaae?e a?iiaaee/ieo nenoai oa aia?ao?a

Io?oe?ei? iiiiaioe: aeieoi? oaoi?/ieo iaoe, aeioeaio

?AOEAAE* TH??e Ieoaeeiae/,

Aea?aeaaiee oi?aa?neoao «Euea?anueea iie?oaoi?ea»,

caa?aeoaa/ eaoaae?ith aaoiiaoeciaaieo nenoai oi?aae?iiy

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe, aeioeaio

Oeiea?ee ieeiea ?aaiiae/,

Oa?iii?euenueea aeaaeai?y ia?iaeiiai ainiiaea?noaa,

aeioeaio eaoaae?e aeiiii?ei-iaoaiaoe/ieo iaoiae?a ? iiaeaeae

I?ia?aeia onoaiiaa Aea?aeaaiee iaoeiai-aeine?aeiee ?inoeooo
?ioi?iaoe?eii?

?io?ano?oeoo?e Iaoe?iiaeueiiai aaainoaa c ieoaiue

?ioi?iaoecaoe?? i?e I?aceaeaioia? Oe?a?ie,

a?aeae?e iiaeaethaaiiy oa i?iaiicoaaiiy neeaaeieo

aeeiai?/ieo nenoai, i.Euea?a

Caoeno a?aeaoaeaoueny ”____” _________ 1999 ?. i ___ aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee E 58.052.01 a Oa?iii?euenueeiio
aea?aeaaiiio oaoi?/iiio oi?aa?neoao? ?iai? ?aaia Ioethy, 282001,
Oa?iii?eue, aoe. ?onueea, 56.

C aeena?oaoe??th iiaeia iciaeiieoenue o iaoeia?e a?ae?ioaoe?
Oa?iii?euenueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo ?iai? ?aaia
Ioethy, 282001, Oa?iii?eue, aoe. ?onueea, 56.

Aaoi?aoa?ao ?ic?neaiee “____” ________ 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Iao?ee I.?.

caaaeueia oa?aeoa?enoeea ?iaioe

Aeooaeuei?noue oaie. Iaoaiaoe/ia iiaeaeue ne?iaeo ae??oaeueiith i??ith
aecia/a? aoaeoeai?noue ooieoe?iioaaiiy ?ioi?iaoe?eii-aei??thaaeueieo
nenoai, ye? caaacia/othoue io?eiaiiy a?aeiiinoae i?i noai
aeine?aeaeoaaiiai ia’?eoa. Oiio oeaio?aeueiei caaaeaiiyi ? ia??oiooaaiiy
aeai?o oaei? iaoaiaoe/ii? iiaeae?, yea aaeaeaaoia ye ia’?eoia?
aeine?aeaeaiiy, oae ? eeania? ?ica’ycoaaieo caaea/. Naia iiaeaeue ?
iniiaith noai?aiiy ae?i?eoi?a ii?aoethaaiiy aeaieo c iaoith aeae?eaiiy
?ioi?iaoe??, iaiao?aeii? aeey i?eeiyooy ??oaiue. Aeey ia’?eoeaii?
ae?a?iinoeee, aeni?an ae?a?iinoeee a iaaeeoeei?, ia’?eoeaiiai aecia/aiiy
ineoio?c?ieia?/ieo oa?aeoa?enoee ethaeeie-iia?aoi?a a a??iiii?oe?,
o?aioaaeueiiai i?ioeano a nii?o? oa a e?ei?iae?noeoe? iaiao?aei?
iiina?aaeeiaai? iaoiaee aeine?aeaeaiiy. ?o noai?ththoue ia iniia?
nenoaiii-ne?iaeueii? eiioeaioe??.

Na?oeaai-noaeeiia nenoaia ? iaei??th c iaeaaaeeea?oeo aeey ethaenueeiai
i?aai?cio; ?? noaie oa?aeoa?ecothoue ?eoi?eith na?oey (?N). ?N – oea
iiaoi?aiiy a /an? oaeeo iine?aeiaieo noaoenoe/ii-caeiiii??ieo aoai?a:
iinooiiaiai ioiieaiiy caoaeaeaiiyi iaio oeoii/e?a; iioe?aiiy oeueiai
caoaeaeaiiy ii i?ia?aei?e nenoai? na?oey ? nei?ioeeaiio i?iea?aeo;
?aaeoe?? i’yco na?oey nei?i/aiiyi ia caoaeaeaiiy (nenoiee); ?icneaaeaiiy
(ae?anoiee), ne?aeii ca yeei, aiane?aeie aaoiiaoecio ooieoe?? na?oey,
ciiao ae?iaeythoueny ?iioeuene caoaeaeaiiy.

A?aeii? iaoiaee aeine?aeaeaiiy ?N aaciina?aaeiuei ca ne?iaeaie na?oey
–aeaeo?iea?ae?ia?ao?y, oiiiea?ae?ia?ao?y, aae?noiea?ae?ia?ao?y,
iie?ea?ae?ia?ao?y – ia caaacia/othoue ia’?eoeaiino?, ai aiinyoue
aeiaeaoeia? ineoieia?/i? cao?aiiy a?ae noa’?eoa oa ia’?eoa
aeine?aeaeaiiy a i?ioean aei??thaaiiy. E??i oiai, a?aea?? a?aeiiinoae
i?i ?N o oeeo ae?a?iinoe/ieo iaoiaeao cae?eniththoue ca aeiiiiiaith
aeaeo?iaeieo (eiioaeoieo) cania?a. Iaaeie?eii oaeiae ? noaoe/iee niin?a
a?aeai?o, ui noai?th? iac?o/iino? aeey iaoe??ioa. Canoinoaaiiy
aeenoaioe?eiiai (oaeaiao?e/iiai) iaoiaeo aei??thaaiiy, yeee iieyaa? o
?a?no?aoe?? aieiniaeo ne?iae?a, aeicaiey? onoiooe oe? iaaeie?ee. Aea i?e
oeueiio aeieea? caaea/a aecia/aiiy ?ioi?iaoeaieo iciae aieiniaiai
ne?iaeo, coiiaeaieo ?N.

Aeey ia??oiooaaiiy ae?i?eoi?a aei??thaaiiy ? ii?aoethaaiiy aieiniaeo
ne?iae?a, ?ioa?i?aoaoe?? io?eiaieo ?acoeueoao?a iaiao?aeia oaea ?o
iiaeaeue, yea a i?noeea ?ioi?iaoeaio oa?aeoa?enoeeo – iciaeo ci?ie ?N.

O a?aeiieo iaoaiaoe/ieo iiaeaeyo aieiniaeo ne?iae?a, noai?aieo aeey
caaea/ ?ici?ciaaaiiy oa neioaco iiae – caieei?e neioni?ae?,
cai?iiiiiaai?e Oaioii; iiaeoeueiaai?e iiaeae? Aaona; iiaeoeueiaai?e
iiaeae? Aaii?iaa; eoneiai-iino?ei?e, cai?iiiiiaai?e O.A?ioetheii –
iniiaio oaaao i?eae?eaii ci?noia? iiaiiai iia?aeiieaiiy, a ?ioi?iaoe?th
i?i ooieoe?iiaeueiee noai ethaeeie (a oiio /ene? ? ?N) ye iaaeeeoeiao ia
a?aoiaaii. Oiio ia??oiooaaiiy aeai?o oaei? iaoaiaoe/ii? iiaeae?
aieiniaiai ne?iaeo, oa?aeoa?enoeee yei? aoee a ?ioi?iaoeaieie iciaeaie
?N aeey ?? ae?a?iinoeee, ? aeooaeueiith caaea/ath.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Oaia
aeena?oaoe?eii? ?iaioe iia’ycaia c oaeeie aea?aeathaeaeaoieie oaiaie, ui
aeeiioaaeenue a Oa?iii?euenueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao?
?iai? ?aaia Ioethy:

– Ae? 62-96, iiia? aea?ae?a?no?aoe?? ? 0196 U 012980 «?ic?iaea iaoiae?a
oa cania?a aenieiye?niiai aia?aaoe/iiai caaacia/aiiy iio?aa aenieeo oa
e?eoe/ieo oaoiieia?e ia iniia? aeei?enoaiiy iiaeo iaoa??ae?a ? no/anieo
?ioi?iaoe?eieo oaoiieia?e»;

– Ae? 72-97, iiia? ?0197 U 004549 «Nenoaia aeieia?/iiai ? iaaee/iiai
iii?oi?eiao aeiae?eey».

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoith ?iaioe ? ?ic?iaeaiiy oaei?
iaoaiaoe/ii? iiaeae? aieiniaiai ne?iaeo, yea a?aoiao? oa?aeoa? ?N,
noai?aiiy ia ?? iniia? iaoiaeeee ? ae?i?eoi?a iiooeo oa ?ic?aooieo
?ioi?iaoeaieo oa?aeoa?enoee iiaeae? aeey ae?a?iinoeee ?N.

Aeey aeinyaiaiiy iaoe iaiao?aeii aoei ae??oeoe oae? caaea/?:

aeeiiaoe aiae?oe/iee iaeyae ? eeaneo?eaoe?th ?nioth/eo caaea/,
i?eioeei?a, iiaeaeae oa iaoiae?a ii?aoethaaiiy aieiniaeo ne?iae?a c
iaoith aeyaeaiiy niinia?a i?enoinoaaiiy ?o aei aeei?enoaiiy ye iiaeeeaeo
cania?a aecia/aiiy oaeeo oa?aeoa?enoee, ye? iiaeia i?iiiioaaoe ia ?ieue
iin??a a?aeiiinoae i?i ?N;

ia??oiooaaoe aea?? iaoaiaoe/ii? iiaeae? aieiniaiai ne?iaeo ? ??
/aniai-?iaa??aioii? oa?aeoa?enoeee ye iiaeeeaiai ?iaeeeaoi?a aeey
iaaee/ii? ii?ie ?N;

ia??oiooaaoe aea?? iaoaiaoe/ii? iiaeae? ? iiaeeeai? ?? ?ioi?iaoeaii?
oa?aeoa?enoeee, aaeaeaaoieo aieiniaiio ne?iaeia? aeey aeyaeaiiy
a?aeoeeaiue ?N a?ae ii?ie;

noi?ioethaaoe ? ?ica’ycaoe caaea/?: ia??oiooaaiiy e?eoa??th anoaiiaeaiiy
cia/aiiy ?ioi?iaoeaii? oa?aeoa?enoeee; ciaoiaeaeaiiy ?ioa?aaeo ?nioaaiiy
oe??? oa?aeoa?enoeee oa ?? ii/aoeiaiai iaaeeaeaiiy; aeai?o niiniao
iiooeo ioe?iee cia/aiiy ?ioi?iaoeaii? oa?aeoa?enoeee ca oeei e?eoa???i;

?ic?iaeoe i?ioeaaeo?o cai?o aii??e/iiai iaoa??aeo oa cae?enieoe
aa?eo?eaoe?th iaoaiaoe/ii? iiaeae? aeey ??ciiai oa?aeoa?o ?N;

?ic?iaeoe iaoiaeeeo ?ic?aooieo oa iaeaoe i?eeeaaeieo i?ia?ai aeey
aiae?co aieiniaeo ne?iae?a c iaoith ae?a?iinoeee (?ici?ciaaaiiy noaio)
?N.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a:

c?iaeaii ci?noiaiee iien ne?iaeo ? iieacaii, ui eiai aaeaeaaoia
a?aeia?aaeaiiy oa ia??oioiaaiee aea?? /aniai-?iaa??aioii? oa
?ioi?iaoeaii? oa?aeoa?enoee aeey caaea/? ae?a?iinoeee ?N iiaeia i?iaanoe
ia iniia? iaoaiaoe/ii? iiaeae? aieiniiai caoeo o aeaeyae? noioanoe/iiai
eieeaaiiy;

aia?oa cai?iiiiiaaii iaoaiaoe/io iiaeaeue aieiniaeo ne?iae?a o aeaeyae?
iie?aocueeinioaiaiai ia??iaee/ii ei?aeueiaaiiai aeiaaeeiaiai i?ioeano
(IEAI) oa iieacaii, ui eiai ia??iae ei?aeueiaaiino? ?
/aniai-?iaa??aioiith oa?aeoa?enoeeith aeey iaaee/ii? ii?ie ?N oa
?ioi?iaoeaiith – aeey a?aeoeeaiue ?N, ? ui oea aea? ciiao ia iniia?
oaei? iiaeae? ?ic?iaeoe iaoiae ? caniae ae?a?iinoeee ?N ca aieiniaei
ne?iaeii;

aia?oa ?ic?iaeaii e?eoa??e aeai?o ia??iaeo ei?aeueiaaiino? ?c iiiaeeie
eiai iiaeeeaeo cia/aiue (iaeneioi ooieoe?iiae?a aa??aoe?e ioe?iie
noaoenoe/ieo oa?aeoa?enoee iiaeae?) oa iaoiae eiai ciaoiaeaeaiiy
(/enaeueiee iaoiae iine?aeiaiiai ia?aai?o), ui noaei i?aenoaaith aeey
?ic?iaeaiiy niiniao aecia/aiiy ia??iaeo ei?aeueiaaiino?;

iieacaii, ui /aniaee iaoiae ii?aoethaaiiy aieiniaeo ne?iae?a – neioaciee
aiae?c – ? /ooeeaei aei ci?i ia??iaeo ei?aeueiaaiino?; oea aea?
iiaeeea?noue noai?aiiy i?inoeo ia/enethaaeueieo ae?i?eoi?a aeey eiai
aecia/aiiy;

aia?oa oeyoii aenia?eiaioaeueii? aa?eo?eaoe?? anoaiiaeaii aaeaeaaoi?noue
noioanoe/ii? iiaeae? o aeaeyae? iie?aocueeinioaiaiai IEAI o?ce/i?e
i?e?iae? aieinieo caoe?a – i?eoaiaii?noue ?i aeanoeainoae aeiaaeeiaino?,
aa?iii?ciaiino? ? ia??iaee/iino? noaoenoe/ieo oa?aeoa?enoee: iieacaii,
ui i?e ni?iaieiaaiiio ooieoe?iiaeueieie i?iaaie ii?ooaii? ?N
ci?ith?oueny ia??iae ei?aeueiaaiino?, a oea aea? iiaeeea?noue (o
aeiaaeeo eiai ai??i?iiai caaeaiiy) aecia/aoe noai ?N iiina?aaeeiaaieie
iaoiaeaie.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. Aia?oa iieacaii
iiaeeea?noue aeei?enoaiiy aieinieo caoe?a aeey ioe?ithaaiiy ?N
iiina?aaeeiaaieie iaoiaeaie. Io?eiai? i?aeoe/i? ?acoeueoaoe
?icoe?ththoue iaeanoue canoinoaaiiy noaoenoe/ieo iaoiae?a i?e
i?iaeooaaii? oaoi?/ieo nenoai aeey iaaeeoeeie.

?ic?iaeai? iaoiaeeea ? ae?i?eoie aecia/aiiy oa?aeoa?enoee ?ioi?iaoeaieo
iciae aieiniaiai ne?iaeo ia iniia? canoinoaaiiy noioanoe/ii? iiaeae?
aieiniiai caoeo ye iie?aocueeinioaiaiai IEAI, ye? iiaeia aeei?enoaoe
aeey ia’?eoeaii? aeni?an ae?a?iinoeee, e?ei?iae?noeee, i?e aecia/aii?
ineoio?c?ieia?/ieo oa?aeoa?enoee ethaeeie-iia?aoi?a a a??iiii?oe?, i?ae
/an o?aioaaeueiiai i?ioeano a nii?o? oa a ?ioeo iaeanoyo, aea iaiao?aeii
cae?enithaaoe iaae?eiee oa iia?aoeaiee eiio?ieue noaio ethaeeie
iiina?aaeeiaaieie iaoiaeaie.

Io?eiai? ?acoeueoaoe iiaeooue noaoe iniiaith aeey iiaeaeueoeo
aeine?aeaeaiue iiaeae? aieiniaeo ne?iae?a, a?aeooeaiiy a eean? «ia
ii?ie» ?N ?ioi?iaoeaieo iciae i?aeeean?a, ye? a?aeiia?aeaee a iaaiei
neiioiiai /e eiie?aoiei caoai?thaaiiyi na?oey.

?ic?iaeai? a aeena?oaoe?? iaoiaee ? ?aeiiaiaeaoe?? ai?iaaaeaeai? o oaeeo
i?aai?caoe?yo:

— Oa?iii?euenuee?e aea?aeaai?e iaaee/i?e aeaaeai??
?i. ?.ss. Ai?aa/aanueeiai ia eaoaae?? ii?iaeueii? o?c?ieia?? i?e aeni?an
ae?a?iinoeoe? a?aeoeeaiue a?ae ii?ie /anoioe na?oeaaeo nei?i/aiue c
aeei?enoaiiyi aieinieo caoe?a iiae;

— ae?a?iinoe/iiio oeaio?? Oa?iii?euenueei? i?nueei? ee?i?/ii? e?ea?i?
? 2 ia?aeaeueii c eeane/ieie ae?a?iinoe/ieie iaoiaeaie.

Iniaenoee aianie caeiaoaa/a a io?eiaii? iaoeiaeo ?acoeueoao?a iieyaa? a
oiio, ui an? iieiaeaiiy, ye? noaiiaeyoue nooue aeena?oaoe??, aoee
noi?ioeueiaai? oa ae??oai? naiino?eii. O ioae?eaoe?yo, iaienaieo o
ni?aaaoi?noa?, caeiaoaa/aa? iaeaaeeoue: a ?iaio? [1] – aeeiiaiiy
/enaeueieo aenia?eiaio?a ia AII i?e ?ic?iaeaii? ae?i?eoio ei?aeoe??
ioeueoeie?eaoeaieo niioai?aiue oa?aeoa?enoee ia?aeiieo aei??thaaeueieo
ia?aoai?thaa/?a oa ii?aoethaaiiy ?o ?acoeueoao?a; a ?iaio? [2] –
niaoeeo?eaoe?y ae?i?eoi?a noaoenoe/iiai aiae?co aeaieo; a ?iaio? [3] –
i?iaaaeaiiy /enaeueieo aenia?eiaio?a ia AII c aeine?aeaeaiiy
ooieoe?iiae?a aa??aoe?e e?i?eii?, eaaae?aoe/ii? oa eoa?/ii? ooieoe?e
noaoenoe/ieo ioe?iie IEAI iiaeae? aieiniiai caoeo [a] oa ii?aoethaaiiy
?o ?acoeueoao?a; a ?iaio? [7] – ia??oiooaaiiy aeioe?eueiino?
aeei?enoaiiy ae?i?eoio ii?aoethaaiiy ne?iaeo aieiniiai caoeo [a]
neioaciei iaoiaeii oa i?iaaaeaiiy aa?enoe/iiai iiooeo ?iaa??aioieo
oa?aeoa?enoee ne?iaeo aeey iaaee/ii? ii?ie ?N; a ?iaio? [8] – aeeiiaiiy
aiae?oe/iiai iaeyaeo iiaeeeaeo i?eioeei?a eeaneo?eaoe?? iiaeaeae
noioanoe/ieo ne?iae?a; a ?iaio? [9] – ia??oiooaaiiy aeai?o iiaeae?
aieiniiai caoeo o aeaeyae? IEAI (o ?aieao aaea ?ic?iaeaii? iiaeae? a
aia?aaoe/i?e oai???) ye aaeaeaaoii? caaea/? iiooeo ?ioi?iaoeaieo iciae
aieiniaiai ne?iaeo i?e ae?a?iinoeoe? noaio ?N; a ?iaio? [10] –
aenia?eiaioaeueia ii?aoethaaiiy ne?iaeo [a] c iaaaaeaiiyi ?acoeueoao?a,
aeniiae?a oa ?aeiiaiaeaoe?e uiaei iiaeeeaiai aeei?enoaiiy neioaciiai
aiae?co aieinieo caoe?a [a] aeey iaaee/ii? ae?a?iinoeee ?N.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? ?acoeueoaoe ?iaioe
aeiiia?aeaeenue ? iaaiai?thaaeenue ia iaoeiaeo nai?ia?ao eaoaae?e
a?iiaaee/ieo nenoai oa aia?ao?a OAeOO ?iai? ?aaia Ioethy (1995-1998), ia
i?aeia?iaei?e iaoeia?e eiioa?aioe?? «The First European Conference on
Signal Analysis and Prediction» – «ECSAP-97» (i.I?aaa, 1997),
i?aeia?iaei?e iaoeiai-oaoi?/i?e eiioa?aioe?? «Nia?aiaiiua iaoiaeu
oeeo?iaie ia?aaioee neaiaeia a nenoaiao ecia?aiey, eiio?iey,
aeeaaiinoeee e oi?aaeaiey» – «IN-98» (i.I?inuee, 1998), i?aeia?iaei?e
iaoeia?e eiioa?aioe?? «?ic?iaea oa canoinoaaiiy iaoaiaoe/ieo iaoiae?a o
iaoeiai-oaoi?/ieo aeine?aeaeaiiyo» (i.Euea?a, 1998), i?aeia?iaei?e
iaoeia?e eiioa?aioe?? c eiii’thoa?ieo oaoiieia?e ae?oea?noaa
«Ae?oeioaoi-98» (i.Euea?a, 1998), ia ia?o?e Anaoe?a?inuee?e
eiioa?aioe?? «Aeieia?/iee no?an ? aaeaioaoe?y a a?ieia?/ieo nenoaiao»
OAeIO (i.Oa?iii?eue, 1998), ia o?ao?e iaoeiai-oaoi?/i?e eiioa?aioe??
«I?ia?aneai? iaoa??aee, oaoiieia?? oa iaeaaeiaiiy a iaoeii- ?
i?eeaaeiaoaeoaaii?» (i.Oa?iii?eue, 1998).

Ioae?eaoe??. ?acoeueoaoe aeena?oaoe?? iioae?eiaaii a 12 iaoeiaeo
i?aoeyo, 5 c yeeo iaienai? aac ni?aaaoi??a, 6 – o iaoeiaeo oaoiaeo
aeaeaiiyo Oe?a?ie.

No?oeoo?a oa ianya aeena?oaoe??. Aeena?oaoe?eia ?iaioa neeaaea?oueny ?c
anooio, /ioe?ueio ?icae?e?a, aeniiae?a, ia?ae?eo aeei?enoaieo aeaea?ae
oa aeiaeaoe?a. Caaaeueiee ianya aeena?oaoe?eii? ?iaioe (192 noi??iee
oaenoo) i?noeoue 160 noi??iie iniiaii? oaenoiai? /anoeie, aeeth/a? 43
?enoiee, 3 oaaeeoe? oa 154 a?ae?ia?ao?/i? iaeiaioaaiiy ia 13 noi??ieao,
a oaeiae 8 aeiaeaoe?a.

iniiaiee ci?no ?IAIOE

O anooi? ia??oioiaaia aeooaeuei?noue caaea/? aeine?aeaeaiue,
noi?ioeueiaaia iaoa, aecia/aii iniiai? caaaeaiiy, iieacaia iaoeiaa
iiaecia oa ai?iaaoe?y iaoa??ae?a ?iaioe, ei?ioei aeeeaaeaii ci?no
aeena?oaoe??.

O ia?oiio ?icae?e? c?iaeaii noeneee iaeyae noaio ? niaoeeo?ee caaea/?
ae?aaiinoeee ?N ca aieiniaei neaiaeii.

I?iaiae?ciaaii a?aeii? o?ceei-iaoaiaoe/i? iiaeae? iiaioa??iiai o?aeoo:
iaiaeii??aeii? o?oaee ?c ci?iiith a /an? ieiuath iiia?a/iiai ia?a??co,
iaeii??aeii? o?oaee aac ao?ao, aeaeo?iiio oa oeeo?iao iiaeae?. ?o ia
iiaeia aeei?enoaoe aeey caaea/? ae?a?iinoeee ?N, ine?eueee a oeeo
iiaeaeyo iaia? eiiiiiaio?a, ye? a a?aoiaoaaee aieea ?N ia nenoaio
iiaioai?aiiy. Aeey caaea/, eiee iaiiaeeeai aei??yoe ia?aiao?e nenoaie
(noi?ioaaoe aaeoi? noaio), iin??i ?ioi?iaoe?? i?i oaeo nenoaio ?
aeo?aeiee ne?iae. Iniiaia o?oaei?noue iieyaa? a oiio, uia aiae?oe/ii
iienaoe aieiniaee ne?iae /a?ac o?ce/i? ia?aiao?e nenoaie, yea eiai
ii?iaeeea. Oaeee iai?yi a?aeiiee i?ae iacaith ne?iaeueii? eiioeaioe??.
Aeeiiaii aiae?oe/iee iaeyae noaio aeine?aeaeaiue aieiniaeo ne?iae?a oa
aea?aii iai?yi aeine?aeaeaiue. Aoaeoeai?noue ae?a?iinooaaiiy ?N, ye ? o
eeane/ieo caaea/ao (aoaeoeai?noue ?ici?ciaaaiiy oa ?aeaioeo?eaoe??
aeeeoi??a), aecia/a?oueny aaeaeei aeai?ii iciae aieiniaiai neaiaeo,
/aniai-?iaa??aioieo (c i?i?iaeueiith aeenia?n??th) aeey noa’?eoa c
iaaee/iith ii?iith ?N, ye? a?ae??ciythoueny (aeenia?n?y iaaaaaoi
a?eueoa) i?e a?aeoeeaiiyo ?N. Oi?iaeueiiai i?aeoiaeo aei aeai?o oaeeo
iciae iaia?, ye iaia? ? iaoaiaoe/ieo iiaeaeae, ye? a i?noeee oae?
iciaee. O i?aoeyo A.Aoaea, Aeae.Aieoa, I.Niiaeo?, A.THaia (IEEE, Journal
of Acoustic Society of America, Signal processing, 1992-1998 ??.)
aeacaii, ui aei /enea ?iciaaeoaaeueieo iciae a?aeiinyoue: a?aeiioaiiy
neaiae/ooi, aiie?ooaeii-/anoioi? oa?aeoa?enoeee aieinieo caoe?a –
aiie?ooaee ? /anoioe oi?iaio. Aeey iiaeaeueoiai ii?aoethaaiiy c ??cieo
aieiniaeo ne?iae?a aea?aii aieiniee caoe [a], ine?eueee oaeee caoe ?
iaea?eueo ?ioi?iaoeaiei – a?aeiii, ui ca aieinieie caoeaie aecia/athoue
oai?iae ai?ea, eaaai?a, caoai?thaaiiy ia?aiai? nenoaie, oiui.

Aieini? caoee iiae oai?youeny oaeei /eiii. Aieinia? ca’ycee,
iiaeoethth/e iio?e iia?o?y, noai?ththoue iine?aeiai?noue ?iioeuen?a,
aeecueeeo ca oi?iith aei ieeeiiiae?aieo. *anoioo iiyae ?iioeuen?a
iaceaathoue /anoioith iniiaiiai oiio. Aea i?e oeueiio aieinia? ca’ycee
ia o?eueee iiaeoeththoue iio?e iia?o?y, a e a?a?othoue, noai?thth/e
aeiaeaoeia? noioanoe/i? eieeaaiiy, ye? iaeeaaeathoueny ia iniiai?
?iioeuene. A?aooaaaoe i?e?iaeo ii?iaeaeaiiy ne?iaeo aieiniiai caoeo,
c?iaeaoe aiae?c no/anieo ?ia?o c iieno iiaieo ne?iae?a o aeaeyae?
eieeaaiiy (noie ia??iaee/ii? oa aia??iaee/ii? neeaaeiaeo) – G.Richard,
N.Alessandro (1996); J.Laroche, Y.Stylianou, E.Moulines (1993); X.
Serra, J.Smith III (1990); R.McAulay, T.Quatieri (1986), a oaeiae acyaoe
aei oaaae a?aeii? oaeoe, ui aeey caaea/? ae?a?iinoeee oai?ia ca aieinii
iaiao?aeii a?aoiaoaaoe oaciao no?oeoo?o ne?iaeo – cai?iiiiiaaii
aeei?enoaoe iiaeaeue aieiniiai caoeo ye noioanoe/iiai eieeaaiiy. Oaeee
i?aeo?ae ?icaeaa? ?aeath i?i iiaeeea?noue ? aeioe?euei?noue noai?aiiy
iiaeae? caoe?a o aeaeyae? eieeaiiai aeiaaeeiaiai i?ioeano (AI).

-a??iaee/iino? ?ic?iaeoe ? aeine?aeeoe iaoiaee noaoenoe/iiai
ioe?ithaaiiy oa?aeoa?enoee /aniai? ci?ie aeanoeainoae ne?iae?a –
neioaciee, eiiiiiaioiee /e o?eueo?iaee.

Oaeei /eiii, c?iaeaii ci?noiaiee iien ne?iaeo ? iieacaii, ui eiai
aaeaeaaoia a?aeia?aaeaiiy oa ia??oioiaaiee aea?? /aniai-?iaa??aioii? oa
?ioi?iaoeaii? oa?aeoa?enoee aeey caaea/? ae?a?iinoeee ?N iiaeia i?iaanoe
ia iniia? iaoaiaoe/ii? iiaeae? aieiniiai caoeo o aeaeyae? noioanoe/iiai
eieeaaiiy.

O ae?oaiio ?icae?e? noai?aii oi?iae?ciaaiee iien ia’?eoa aeine?aeaeaiiy
– ?N ethaeeie o aeaeyae? iaoaiaoe/ii? iiaeae? neaiae?a – aieinieo caoe?a
[a]; ia??oioiaaii aea?? ?o iiaeae? o aeaeyae? IEAI (eean (O) – AI
ne?i/aiii? ca ia??iae ei?aeueiaaiino? na?aaeiuei? iiooaeiino? (eean (),
oiaoi (O ( (. Ca icia/aiiyi IEAI – oea oae? AI, iaoaiaoe/i? niiae?aaiiy
oa neiao?e/i? eiaa??aoe?? yeeo ? ia??iaee/ieie ooieoe?yie /ano uiaei
noeoiiino? /aniaeo cnoa?a ?o a?aoiaio?a

, (1)

aea O>0 – ia??iae ei?aeueiaaiino?.

) ? ia??iaee/ieie c ia??iaeii O:

.

.

C o?aooaaiiyi neacaiiai i?iaaaeaii aiae?c aenia?eiaioaeueieo aeaieo i?e
o?aeooaaii? ?o o ?aieao aeaoa?i?iiaaiiai ? noioanoe/iiai i?aeoiae?a.
?acoeueoaoe aiae?co iaoiaeaie ia??iaee/ieo, iaeaea ia??iaee/ieo
eieeaaiue o ?aieao aeaoa?i?iiaaiiai i?aeoiaeo i?eaiaeyoue aei aeniiaeo,
ui oaea iiaeaeue ia aaeaeaaoia aieiniiio caoeia?. Niaeo?e, ia/eneai? ca
/aniaeie ?yaeaie aieiniiai caoeo [a], i?e cnoaao ii/aoeo a?aee?eo ii
/ania?e in? ? iano?eeeie. Oiio ne?ae i?eeiyoe, ui ne?iae ii?iaeaeo?oueny
noioanoe/iith nenoaiith ? nai ? aeiaaeeiaei.

Iiaeaeue o aeaeyae? noaoe?iia?iiai AI a?aeia?aaea? neeaaei?noue ne?iaeo
a niaeo?aeueiiio ?iciiae?e? iiooaeiino?, aea ia a?aeia?aaea? eiai
/aniai? no?oeoo?e. Oea iiynith?oueny oei, ui aieini? caoee i?e ??ci?e ?N
ii?iaeaeothoueny nenoaiith (na?oeai), ui ciaoiaeeoueny a noai?
«ioeuenoth/i?» ??aiiaaae. Ioe?iee, ia/eneai? ca aenia?eiaioaeueieie
/aniaeie ?yaeaie aieiniiai caoeo [a] a ??ci? iiiaioe /ano,
oa?aeoa?ecothoueny a?aei?ii?noth na?aaei?o cia/aiue, aeenia?n?e,
ei?aeyoe?eieo ooieoe?e. Ca?aeii c e?eoa??yie O?oa?a aeey aeenia?n?e oa
Z0,95 a?iioaca i?i noaoe?iia?i?noue AI a?aeeeaea?oueny; i?ioean
eeaneo?eo?oueny ye ianoaoe?iia?iee a?aeiinii e?eoa??th.

O ?acoeueoao? i?iaaaeaiiai aiae?co ?a?no?ia?ai aieinieo caoe?a [a]
iieacaii, ui aaeaeaaoia ?i iiaeaeue iiaeiia iaoe aeanoeaino?
aeiaaeeiaino?, aa?iii?ciaiino? ? ia??iaee/iino? noaoenoe/ieo
oa?aeoa?enoee. O ?aieao oai??? ae?oaiai ii?yaeeo oe? aeiiae
caaeiaieueiy? iiaeaeue o aeaeyae? IEAI, iiaio oai??th yeeo ?icaeiooi a
?aieao aia?aaoe/ii? oai??? AI.

IEAI ye noioanoe/ia eieeaaiiy a?aeia?aaea? /aniai-oaciao no?oeoo?o
aieiniaiai ne?iaeo, ia? caniae a?aooaaiiy ye iia’ycaiino? aa?iii?/ieo
neeaaeiaeo, oae ? ci?ie ?iia??i?nieo oa?aeoa?enoee ne?iaeo a /ania?e
iaeano?. Aeey aecia/aiiy noaio ?N a?aeiia?aeii aei oe??? ia??oioiaaii?
iiaeae? aieiniiai caoeo iaiao?aeii aoei ?ic?iaeoe iaoiaeeeo
aenia?eiaioo.

O o?aoueiio ?icae?e? c o?aooaaiiyi iaaee/ieo iaoiaeee ?ic?iaeaii
iaoiaeeeo i?iaaaeaiiy aeine?aeaeaiue – iaoiaeeeo iiooeo a ?aieao
ia??oioiaaii? IEAI-iiaeae? /aniai-?iaa??aioii? aeey iaaee/ii? ii?ie ?N
oa?aeoa?enoeee – ia??iaeo ei?aeueiaaiino? oa ?ioi?iaoeaii?
oa?aeoa?enoeee aeey a?aeoeeaiue ?N.

A oiiaao aenia?eiaioo ci?ie ?N ni?iaieiaaii aeiciaaiei iiae?acieeii o
aeaeyae? ooieoe?iiaeueii? i?iae (OI) c o?ce/iei iaaaioaaeaiiyi. ?c
a?aeiieo OI aea?aii i?iao c 20-ia i?en?aeaiiyie ye eaaeo a canoinoaaii?,
iaeiaeo?aoio. Oey iaoiaeeea ? caaaeueiii?eeiyoith aeey aeine?aeaeaiiy
na?oeaai-noaeeiii? nenoaie o ooieoe?iiaeuei?e ae?a?iinoeoe?. Ia?aae
i?iaaaeaiiyi OI aecia/aee ii/aoeia? aeai? – iieacieee ?N (/anoioo
na?oeaaeo nei?i/aiue) oa oa?aeoa?enoeee iiaeae? aieiniaiai ne?iaeo
(ia??iae ei?aeueiaaiino?, ioe?iee noaoenoe/ieo oa?aeoa?enoee). I?ney OI
aecia/aee oa?aeoa? ? nooi?iue ci?ie oeeo iieaciee?a.

Ine?eueee aieiniaee ne?iae ? niaoeeo?/iith ooieoe??th eiie?aoii?
ethaeeie, ia aoai? iiooeo ?ioi?iaoeaieo iciae i?iaaaeaii ii??aiyiiy
aieiniaeo ne?iae?a aeey iaei??? ? o??? ae ethaeeie c iaaee/iith ii?iith
?N oa c a?aeoeeaiiyie ?N (i?ney OI). A?aoiaoth/e ?acoeueoaoe aiaeia?/ieo
aeine?aeaeaiue oa a?aeii? oaeoe c caaea/ ?ici?ciaaaiiy iiae ?
aa?eo?eaoe?? oa ?aeaioeo?eaoe?? aeeeoi??a, ia?aa??aii i?eiouaiiy, ui
ii?ooaiiy ?N i?ecaaaea aei ci?ie aaee/eie ia??iaeo ei?aeueiaaiino? O
IEAI-iiaeae? aieiniaiai ne?iaeo.

-noaoe?iia?iiai.

: 1) o /ania?e iaeano? ca ?a?no?ia?aiith ne?iaeo, ona?aaeiaiiyi
?ioa?aae?a /ano i?ae eiai iaeneiaeueieie cia/aiiyie; 2) o /ania?e
iaeano? oeyoii aecia/aiiy i?noeaciaoiaeaeaiiy ia?oiai iaeneioio
ei?aeyoe?eii? ooieoe?? ne?iaeo; 3) o /ania?e iaeano? ca i?i?ioiii
ooieoe?? na?aaeiueiai cia/aiiy aaniethoii? ??cieoe?; 4) o /anoioi?e
iaeano? ca aiie?ooaeiei niaeo?ii ne?iaeo; 5) o /anoioi?e iaeano? ca
eaino?ii.

c e?ieii, ??aiei ia??iaeo aeene?aoecaoe?? aieiniaiai ne?iaeo
(9(10-5n).

noaoe?iia?ieo (a oe?ieiio nain?) ? noaoe?iia?ii-iia’ycaieo aeiaaeeiaeo
iine?aeiaiinoae:

. (2)

Oi?ioee, aeaaaeai? c oe??? aeanoeaino?, oiaoi caaaeaiiyi aei oai???
noaoe?iia?ieo aaeoi?ieo iine?aeiaiinoae:

, (3)

aeathoue neooi? iacnoioo? ioe?iee oa?aeoa?enoee IEAI neioaciei iaoiaeii.
Aeey ne?i/aiiiai a?ae??ceo IEAI (aeiaaeeiith ( = NT) oi?ioee ioe?iie (3)
iathoue aeaeyae:

. (4)

– a?aeiio a oai??? ooieoe?e oa?aeoa?enoeeo – aa??aoe?th ooieoe??:

, (5)

, (6)

ca icia/aiiyi:

. (7)

A?ia?a (7).

ye cia/aiue a?aeiia?aeieo ooieoe?iiae?a.

– ia??iaeo ei?aeueiaaiino? – i?eeiyoi oa cia/aiiy, yea caaacia/o?
iaeneioi ooieoe?iiae?a aa??aoe?e:

. (8)

aeey iaaee/ii? ii?ie ?N iaei??? ? o??? ae ethaeeie ? iaeiaeiaeie.
Oiio eiai aeei?enoaii ye /aniai-?iaa??aioio oa?aeoa?enoeeo.

?en. SEQ ?en. \* ARABIC 1 .Cia/aiiy aa??aoe?e i?e ??cieo i?iaieo
/anoioao Fp=1/Tp: 1 – O(u) = U; 2 – O(u) = U2; 3 – O(u) =
U3.

, i?ae aeey iaaee/ii? ii?ie ?N aeey o??? ae ethaeeie.

Aeey i?aeoaa?aeaeaiiy neooiino? i?eiouaiiy i?i ia??iae ei?aeueiaaiino?
ye ?ioi?iaoeaio oa?aeoa?enoeeo noioanoe/ii? iiaeae? neaiaeo oa
aeioe?eueiino? canoinoaaiiy ?ic?iaeaieo ae?i?eoi?a o /aoaa?oiio ?icae?e?
i?iaaaeaii aenia?eiaioaeueio aa?eo?eaoe?th iiaeae?.

O /aoaa?oiio ?icae?e? iaaaaeaii ?acoeueoaoe aa?eo?eaoe?? IEAI ye iiaeae?
aieinieo caoe?a, aiae?c aeaieo, aeniiaee oa ?ioa?i?aoaoe?th
?acoeueoao?a.

I?iaaaeaii aa?eo?eaoe?th aieinieo caoe?a [a] c iaoith: 1) ia?aa??ee
a?aeiia?aeiino? aeanoeainoae ne?iae?a aieiniiai caoeo [a]
caeiiii??iinoyi eeano aeiaaeeiaeo ooieoe?e, aea?aieo ca ?o iiaeaeue, –
IEAI, 2) i?aeoaa?aeaeaiiy aaeaeaaoiino? iaoaiaoe/ii? iiaeae? ne?iaeo
aeey caaea/? ae?a?iinoeee ?N.

?acoeueoaoe aa?eo?eaoe?? i?aeoaa?aeeee aaeaeaaoi?noue aea?aii? iiaeae? –
iie?aocueeinioaiaiai IEAI – ?aaeueiei ne?iaeai: noaoenoe/i? ioe?iee
(iaoaiaoe/ia niiae?aaiiy, aeenia?n?y) oeoeoothoue a?ey ia??iaee/ieo
ooieoe?e (?en. 2).

a)

a) ?en. 2. A?ao?ee ioe?iie iaoaiaoe/iiai niiae?aaiiy (a) oa aeenia?n??
(a) aieiniiai caoeo [a] aeey iaaee/ii? ii?ie ?eoi?ee na?oey (e?ea? 1) oa
i?ney OI (e?ea? 2).

Iieacaii, ui ia??iae ei?aeueiaaiino? ae?enii iiaeia aeei?enoaoe ye
?ioi?iaoeaio iciaeo. Ii?ooaiiy ?eoi?/iino? na?oeaaeo nei?i/aiue
aiane?aeie i?iaaaeaii? OI ni?e/eith? ci?io ia??iaeo noaoenoe/ieo
oa?aeoa?enoee (ia??iaeo ei?aeueiaaiino?) iiaeae? aieinieo caoe?a o
aeaeyae? IEAI.

Noaoenoe/i? oa?aeoa?enoeee IEAI-iiaeae? ne?iae?a [a], io?eiaieo a?ae
noa’?eoa c a?aeoeeaiiyie ?N a?ae iaaee/ii? ii?ie, yeui ia?aoiaoaaoe ?o
neioacii ?c oei naiei cia/aiiyi ia??iaeo, yeee aoa o ii?iaeueiiio noai?,
? caeaaeaeaieie (?en.2, e?ea? 2). Niinoa??aa?oueny ii?ooaiiy ?eoi?ee
noaoenoe/ieo oa?aeoa?enoee aieiniaiai ne?iaeo, yea iiaeia iiynieoe
a?aeoeeaiiyi ia??iaeo ei?aeueiaaiino? i?ney i?iaaaeaii? OI a?ae eiai
cia/aiiy o ii?i?.

a iaio aeiaaeeao iaee a iaeiaeiao aiie?ooaeo.

(?en.2, e?ea? 1, 2) aeaeii nooo?a? a?aei?iiino? a aiie?ooaeao ioe?iie.
Ine?eueee a?aee?ee a iaio aeiaaeeao a?aeae?aeenue aea?aeenoaioii c
ia??iaeii T, oi eeoa ci?ia inoaiiueiai iiaea i?eaanoe aei oaeeo
a?aei?iiinoae ioe?iie. E?euee?nii oe? a?aei?iiino? aoei ioe?iaii ca
oi?ioeaie (5)-(7).

aeey ??cieo aieiniaeo ne?iae?a iaei??? ? o??? ae ethaeeie: a) i?e
iaaee/i?e ii?i? ?N; a) ia i?ioyc? ia?oeo 2-o naeoiae i?ney OI.

a)

a)

aeey ??cieo caoe?a [a] iaei??? ? o??? ae ethaeeie: a) iaaee/ia ii?ia
?N; a) i?ioyaii ia?oeo 2-o naeoiae i?ney OI.

Aeaeii, ui ooieoe?iiaee aeinyaathoue iaeneioi?a i?e ??cieo cia/aiiyo
ia??iaeo ei?aeueiaaiino? aeey iaaee/ii? ii?ie ?N ? i?ney OI. Oiio
ia??iae ei?aeueiaaiino? ? ?iciaaeoaaeueiith iciaeith i?ae ??cieie
eeanaie ?N: iaaee/iith ii?iith oa a?aeoeeaiiyie a?ae ii?ie.

Aeey oiai, uia ioe?ieoe /ooeea?noue ia??iaeo ei?aeueiaaiino? ye
oa?aeoa?enoeee i?e ?icae?eaii? aeaio eean?a ?N, aeei?enoaii ocaaaeueiaio
a?aenoaiue – a?aenoaiue Iaoaeaiia?na:

dT,i = (T – mi)(Ci -1(T – mi),
(9)

aea T – cia/aiiy ia??iaeo ei?aeueiaaiino?, ia/eneaia aeey noa’?eoa ca
?aae?caoe??th aieiniiai caoeo [a];

? – aaee/eia, ui oa?aeoa?eno? ?N (i = 1 – eean iaaee/ii? ii?ie ?N; i = 2
– eean an?o a?aeoeeaiue a?ae ii?ie ?N);

m1 – cia/aiiy T eeano iaaee/ii? ii?ie ?N aeey noa’?eoa;

m2 – cia/aiiy T eeano an?o a?aeoeeaiue ?N aeey noa’?eoa;

Ci –1– caaaeueia eiaa??aoe?eia iao?eoey eean?a 1 ? 2.

A?aenoai? ia/eneaii aeey eean?a i=1 oa i = 2; i?aaeeii ?iciaaeoaaiiy
eean?a ? aea?? eeano, aeey yeiai dT,i iaioa.

Aeey cia/aiue a?aenoaiae dT,1 , dT,2 aoei aeine?aeaeaii ?iia??i?ni? i??e
Pi :

P1 = dT,1 /( dT,1 + dT,2); P2 = dT,2 /( dT,1 + dT,2).
(10)

I??e P1 oa P2 iiaeia aeei?enoiaoaaoe a iaaee/i?e ae?a?iinoeoe? ye
ai??i?i? ?iia??iino? oiai, ui ne?iae a?ae?a?aii a?ae noa’?eoa c ii?iith
/e a?aeoeeaiiyie ?N.sseui ??oiooaaoenue ia noaoenoe/ieo aeaieo iaaee/ii?
ii?ie, ye? a?aeiinyoueny aei P1 ?iciiae?eo, io?eiaieo ia iniia? aiae?co
70 ne?iae?a, oi iiaeia aea?aoe a?aeiia?aeiee aeia??/ee ?ioa?aae
ia?aiao?a P1 aeey eeaneo?eaoe?? ?N ye ii?ie/a?aeoeeaiiy.

A aeaiiio aeiaaeeo c ?ioa?aaeii 0.6 io?eiaii caaaeueio e?euee?noue
iiieeie ae?a?iinoeee (?ici?ciaaaiiy noaio) ?N, yea iaaaaeaia o oaae. 1
aeey eiaeiiai eeano (e?euee?noue noa’?eo?a – 7).

Oaaeeoey 1. – E?euee?noue iiieeie ae?a?iinoeee ?N

Noa’?eoe E?euee?noue iiieeie

Iaaee/ia ii?ia

(anueiai aeine?aeaeaiue –10) I?ney OI

(anueiai aeine?aeaeaiue -10)

?1 1 —

?2 — —

?3 1 1

?4 — —

?5 — —

?6 — —

?7 — —

Aeaeii, ui e?euee?noue iiieeie ioe?ithaaiiy ? iecueeith. Oaeei /eiii, a
?iaio? ia??oioiaaii iiaeeea?noue aeae?eaiiy aeaio eean?a (iaaee/ii?
ii?ie oa a?aeoeeaiue) ?N, eiee ca ?ioi?iaoeaio iciaeo acyoi ia??iae
ei?aeueiaaiino? IEAI-iiaeae? aieinieo caoe?a.

, i?e yeeo ae ?iciiae?ee cia/ii ia?ae?eaaeenue. I?iaaaeai?
aeine?aeaeaiiy iieacaee aeioe?euei?noue aeei?enoaiiy cai?iiiiiaaii?
iiaeae? aieiniaiai ne?iaeo oa iaoiae?a ae?a?iinoeee ?N aeey ia’?eoeaii?
aeni?an ae?a?iinoeee, e?ei?iae?noeee, ia’?eoeaiiai aecia/aiiy
ineoio?c?ieia?/ieo oa?aeoa?enoee ethaeeie-iia?aoi?a a a??iiii?oe?,
o?aioaaeueiiai i?ioeano a nii?o?.

aeniiaee

O aeena?oaoe?ei?e ?iaio? ia??oioiaaii ? oai?aoe/ii i?iaiae?ciaaii
iiaeae? aieiniaeo ne?iae?a oa ?ic?iaeaii iaoaiaoe/ia ?
i?ia?aiii-aia?aoia caaacia/aiiy aeey ?o aeine?aeaeaiiy c iaoith iiooeo
oa aecia/aiiy oa?aeoa?enoee ?ioi?iaoeaieo iciae aieiniaiai ne?iaeo aeey
ae?a?iinoeee ?N. Cie?aia:

Ia iniia? aenia?eiaioaeueieo aeine?aeaeaiue aieiniaeo ne?iae?a iieacaii
iaaaeaeaaoi?noue aeey caaea/? ?ici?ciaaaiiy noaio ?N ?nioth/i?
ioeue-iiethnii? iiaeae? iiaioa??iiai o?aeoo (ye aiaeiao aeonoe/ii?
o?oae) ? iaoiae?a ii?aoethaaiiy aieiniaeo ne?iae?a, a iniia? yeeo
eaaeeoue eiioeaioe?y niaeo?o iiooaeiino? ye aeaoa?i?iiaaieo iiaeaeae,
oae ? noaoe?iia?ii? iiaeae?.

?icaeiooi /aniaee iaoiae aiae?co aieiniaeo ne?iae?a, yeee a?aoiao? ia
o?eueee aa?iii?/iee neeaae oa niaeo?aeueiee ?iciiae?e iiooaeiino?
ne?iaeo, aea e /aniao ci?io eiai aeanoeainoae.

Iieacaii /aniao ?iaa??aioi?noue ioe?iee ia??iaeo ianoaoe?iia?iino? –
oa?aeoa?enoeee iiaeae? aieiniaiai ne?iaeo.

Aia?oa cai?iiiiiaaii aeei?enoaiiy ia??iaeo ei?aeueiaaiino? ye
?ioi?iaoeaii? iciaee aeey ae?a?iinoeee ??ciiai noaio ?N.

Ia??oioiaaii aeei?enoaiiy neioaciiai iaoiaeo aiae?co ia??iaee/ii
ei?aeueiaaieo aeiaaeeiaeo i?ioean?a aeey aecia/aiiy ci?i ia??iaeo
ei?aeueiaaiino?, iia’ycaieo c? ci?iaie ?N.

Iieacaii aoaeoeai?noue canoinoaaiiy cai?iiiiiaaieo iaoiae?a
ae?a?iinoeee ?N o e?ei?iae?noeoe?, ia’?eoeai?e aeni?an ae?a?iinoeoe?.

nienie iioae?eiaaieo i?aoeue caeiaoaa/a

ca oaiith aeena?oaoe??

I.N.?aooo, E.A.*i?ia. I?i aeai?eoi aaoiiaoe/ii? ei?aeoe?? oa?aeoa?enoee
ia?aeiieo aei??thaaeueieo ia?aoai?thaa/?a // A?niee Oa?iii?euenueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo. – 1997. – O. 2, /enei 2. –
N. 63-66.

ss.I.Ae?a?ai, E.N.N?ei?a, E.A.*i?ia, A.?.ssai?nueeee. Aia?aaoe/ia oai??y
– eia?/ia i?aenoaaa aeie?aieaiiy eean?a noioanoe/ieo neaiae?a oa
niaoeeo?eaoe?? aeai?eoi?a ?o ii?aoethaaiiy // A?niee Oa?iii?euenueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo. – 1998. – O. 3, /enei 1. –
N. 71-79.

ss.I.Ae?aaai, E.A.*i?ia, A.?.ssai?nueeee. Aeai?eoi aa??aoe?eiiai
aecia/aiiy ia??iaeo ei?aeueiaaiino? ia??iaee/ii ei?aeueiaaiiai
aeiaaeeiaiai i?ioeano ye iiaeae? aieinieo caoe?a // A?niee Aea?aeaaiiai
oi?aa?neoaoo «Euea?anueea iie?oaoi?ea». – Euea?a: a-ai Aea?aeaaiiai
oi?aa?neoaoo «Euea?anueea iie?oaoi?ea». – 1998. – ?337.– N. 166-169.

E.A.*i?ia. Aeyaeaiiy na?oeaai? iaoieia?? ca oa?aeoa?enoeeaie iiaiiai
neaiaeo // A?aea?? ? ia?iaea ?ioi?iaoe??. – 1998. – ?12 (88). – N.
56-59.

E.A.*i?ia. Iiaeaeue aieiniiai caoeo ye ia??iaee/ii ei?aeueiaaiiai
aeiaaeeiaiai i?ioeano a caaea/? ?ici?ciaaaiiy noaio // ?aaeeiyeo?iieea e
eioi?iaoeea. – 1998. – ? 3. – N. 155-162.

E.A.*i?ia. ?iaa??aioi? oa?aeoa?enoeee iiaeae? ia??iaee/ii ei?aeueiaaieo
aeiaaeeiaeo i?ioean?a a caaea/? ?ici?ciaaaiiy noaio // A?niee
Oa?iii?euenueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo. – 1998. – O. 3,
/enei 4. – N. 75-80.

E.*i?ia, A.Inoo?anueea. Noaoenoe/ia ia?iaea aeonoe/ieo neaiae?a
iaoiaeaie aia?aaoe/ii? oai??? noioanoe/ieo neaiae?a // A?niee
Oa?iii?euenueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo. – 1998. – O. 3,
/enei 4. – N. 80-85.

Dragan Ya., Yavors’kyi B., Chorna L., Sikora L. Energy theory of
stochastic signals, separation of classes and specification of
statistical processing algorithms // Proc.of Europ. Conf. of Signal
Analysis and Prediction (ECSAP–97). – Prague (Czech Republic). – 1997. –
P. 129-132.

Chorna L.B., Osukhivs’ka H.M. Statistical Estimators PCRP of Acoustic
Signals // Iaoa?eaeu iao/.-oaoi. eiio. “Nia?aiaiiua iaoiaeu oeeo?iaie
ia?aaioee ne?iaeia a nenoaiao ecia?aiey, eiio?iey, aeeaaiinoeee e
oi?aaeaiey” (IN-98). – Ii: Aaeainoieaa?neoao. – 1998. – N. 166-169.

ss.Ae?aaai, A.Inoo?anueea, E.N?ei?a, E.*i?ia, A.ssai?nueeee.
Noaoenoe/iee aiae?c caniaaie aia?aaoe/ii? oai??? noioanoe/ieo aeonoe/ieo
neaiae?a o i?iaeaiao iaaeae?aaiinoeee // Eiii’thoa?i? oaoiieia??
ae?oea?noaa. – Euea?a: OAAe. – 1998. – N. 111-113.

E.A.*i?ia. Aeyaeaiiy ci?i ooieoe?iiaeueiiai noaio na?oey ia iniia?
aiae?co aieinieo caoe?a iiae // Iaoa?. 1 Anaoe?. iaoeiai? eiio
“Aeieia?/iee no?an ? aaeaioaoe?y a a?ieia?/ieo nenoaiao”. – Oa?iii?eue:
a-ai Oa?iii?euenueeiai aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo. – 1998.
– N. 90-91.

E.*i?ia. Oanooaaiiy aeonoe/ieo neaiae?a caniaaie oai??? ia??iaee/ii
ei?aeueiaaieo aeiaaeeiaeo i?ioean?a // Oace aeiiia?ae? o?aouei?
iaoe.-oaoi. eiio. OAeOO ?i.?aaia Ioethy “I?ia?aneai? iaoa??aee,
oaoiieia?? oa iaeaaeiaiiy a iaoeii- ? i?eeaaeiaoaeoaaii?”. – Oa?iii?eue:
a-ai OAeOO. – 1998. – N. 62.

Aiioaoe??

*i?ia E. Noioanoe/ia iiaeaeue aieiniaiai ne?iaeo aeey caaea/?
ae?a?iinoeee ?eoi?ee na?oey ethaeeie. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 01.05.02 – iaoaiaoe/ia iiaeaethaaiiy oa
ia/enethaaeuei? iaoiaee. – Oa?iii?euenueeee aea?aeaaiee oaoi?/iee
oi?aa?neoao ?iai? ?aaia Ioethy, Oa?iii?eue, 1999.

Aeena?oaoe?y i?enay/aia ia??oiooaaiith iaoaiaoe/ii? iiaeae? aieiniaiai
ne?iaeo ye ia??iaee/ii ei?aeueiaaiiai aeiaaeeiaiai i?ioeano oa
?ic?iaeaiith iaoiae?a a?aeooeaiiy ?ioi?iaoeaieo iciae ye oa?aeoa?enoee
iiaeae? aeey ioe?ithaaiiy noaio ?eoi?ee na?oey. Ia??oioiaaii aea??
ae?i?eoio iine?aeiaiiai ia?aai?o cia/aiue i?iaiiai ia??iaeo aeey
aecia/aiiy ?ioi?iaoeaii? iciaee iiaeae? – ia??iaeo ei?aeueiaaiino?. sse
e?eoa??e aeai?o cia/aiiy ia??iaeo ei?aeueiaaiino? cai?iiiiiaaii
aeei?enoaoe iaeneioie ooieoe?iiae?a aa??aoe?e ooieoe?e noaoenoe/ieo
ioe?iie iiaeae? aieiniaiai ne?iaeo. Ia i?aenoaa? cai?iiiiiaaieo iaoiae?a
oa ae?i?eoi?a i?iaaaeaii aa?eo?eaoe?th iiaeae? aieiniaiai ne?iaeo aeey
??cieo noai?a ?N – iaaee/ii? ii?ie oa a?aeoeeaiiy (ia ii?ie).
Aa?eo?eaoe?y i?aeoaa?aeeea aaeaeaaoi?noue iaoaiaoe/ii? iiaeae? ne?iaeo
aeey caaea/? ae?a?iinoeee ?eoi?ee na?oey oa aoaeoeai?noue ?ic?iaeaieo
ae?i?eoi?a.

Eeth/ia? neiaa: iiaeaeue aieiniaiai neaiaeo, ia??iae ei?aeueiaaiino?,
ae?i?eoi iine?aeiaiiai ia?aai?o, ooieoe?iiae aa??aoe?e ye e?eoa??e.

*i?iay E. Noioanoe/aneay iiaeaeue aieiniaiai neaiaea aeey caaea/e
aeeaaiinoeee ?eoieee na?aeoea /aeiaaea. – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 01.05.02 – iaoaiaoe/aneia iiaeaee?iaaiea e
au/eneeoaeueiua iaoiaeu. – Oa?iiiieueneee ainoaea?noaaiiue oaoie/aneee
oieaa?neoao eiaie Eaaia Ioethy, Oa?iiiieue, 1999.

Aeenna?oaoeey iinayuaia iainiiaaieth iaoaiaoe/aneie iiaeaee aieiniaiai
neaiaea a aeaea ia?eiaee/anee ei??aee?iaaiiiai neo/aeiiai i?ioeanna e
?ac?aaioea iaoiaeia iouneaiey eioi?iaoeaiuo i?eciaeia eae oa?aeoa?enoee
iiaeaee aeey ioeaieaaiey ninoiyiey ?eoieee na?aeoea. Iainiiaai auai?
aeai?eoia iineaaeiaaoaeueiiai ia?aai?a cia/aiee i?iaiiai ia?eiaea aeey
iaoiaeaeaiey eioi?iaoeaiiai i?eciaea iiaeaee – ia?eiaea
ei??aee?iaaiiinoe. A ea/anoaa e?eoa?ey auai?a cia/aiey ia?eiaea
ei??aee?iaaiiinoe i?aaeeiaeaii eniieueciaaoue iaeneioiu ooieoeeiiaeia
aa?eaoeee ooieoeee noaoenoe/aneeo ioeaiie iiaeaee aieiniaiai neaiaea. Ia
iniiaaiee i?aaeeiaeaiiuo iaoiaeia e aeai?eoiia i?iaaaeaii aa?eoeeaoeeth
iiaeaee aieiniaiai neaiaea aeey ?acee/iuo ninoiyiee ?eoieee na?aeoea –
iaaeeoeeineie ii?iu e ioeeiiaiey (ia ii?iu). Aa?eoeeaoeey iiaeoaa?aeeea
aaeaeaaoiinoue iaoaiaoe/aneie iiaeaee neaiaea aeey caaea/e aeeaaiinoeee
?eoieee na?aeoea e yooaeoeaiinoue ?ac?aaioaiiuo aeai?eoiia.

Eeth/aaua neiaa: iiaeaeue aieiniaiai neaiaea, ia?eiae ei??aee?iaaiiinoe,
aeai?eoi iineaaeiaaoaeueiiai ia?aai?a, ooieoeeiiae aa?eaoeee a ea/anoaa
e?eoa?ey.

Chorna L. Stochastic model of vocal signal for the problem of human
heart rhythm diagnostics. – Manuscript.

Thesis for the Degree of Candidate of Technical Sciences in speciality
01.05.02 – Mathematical modelling and calculating methods. – Ivan Pul’uj
Ternopil State Technical University, Ternopil, 1999.

In the thesis a stochastic model of the vocal signal as a
poly-narrow-band periodically correlated random process and development
of methods for selection information features as model characteristics
for the heart rhythm diagnostics are well founded.

Presence of periodicity in temporal variability of the vocal signal is
evident. Stochastic changes are represented in the form of randomly
varying amplitudes and phases of harmonic components. The description of
stochastic properties in terms of spectral density of a stationary
random process gives a possibility to analyze distribution by
frequencies of their power only. The latter is an average characteristic
of oscillations and thereby their phase (temporal) structure remains
unconsidered. At the same time, recycling properties of the oscillation
form the basic feature of the vocal signals. Recycling is described in
terms of temporal varying probabilistic characteristics from the class (
– it is a periodically correlated random process (PCRP), that is some
type of non-stationarity. Selection of a stochastic model that includes
recycling properties of the oscillations and which probabilistic
characteristics are periodical functions of time is motivated.

The vocal signal used for the analysis is Ukrainian pronunciation of a
steady vowel [a]. The signal was preliminary processed in the time
domain – it was suitably filtered with a low-pass filter at 1000 Hz,
sampled, and converted to a 8-bit format at sampling frequency 11,025
kHz.

The special technique to process the signal in the time domain – a
co-phase analysis algorithm – is applied. The algorithm is based on a
specific feature of the vocal signal model in the form of the
poly-narrow-band PCRP namely – samples, which are picked out through the
period of correlation, form series of related stationary sequences. In
such a case, the PCRP is represented by stationary and
stationary-related sequences. The co-phase algorithm is based on the
same assumptions as algorithms for the statistical analysis of
stationary sets. Thus the analysis of the probabilistic structure of the
poly-narrow-band PCRP is reduced to its analysis by means of the theory
of stationary processes. The simplest relationships for probabilistic
characteristics are obtained, which turn into the already known formulas
when PCRP is transformed into a stationary process.

The problem of determination of an unknown period of correlation, which
is an inherent property of the PCRP model (it is a period of its
probabilistic characteristics) is solved by the formulation of a hidden
periodicity problem. A method of period estimation based on a well-known
technique for extracting periodicity from random data – the superposed
epoch analysis, which is also referred to discrete data as Buys-Ballot
scheme, is developed. The selection of a sequential search algorithm of
the trial period to determine the period of correlation is proposed.
Then the period determination problem is reduced to the sequential
search for trial values of the period. The maximum of a variation
functional of statistical estimate functions of the voice signal model
as a selection criterion for the period of correlation is used.

70 waveforms of the vowel [a] spoken by 7 subjects (3 women and 4 men)
with medical norm of heart rhythms were studied. To provoke an
arrhythmia the above-mentioned subjects were asked to do rough exercises
(a well-established method of clinical investigation of the
cardiovascular system to detect the exercise-induced arrhythmia).
Immediately after that, waveforms of the vowel [a] spoken by the same
subjects with the arrhythmia were recorded. The temporal features of the
waveforms were studied and the results were analysed. Verification of
the vocal signal model for different states of heart rhythm – medical
norm and abnormal state – was made. Adequacy of the mathematical model
of the signal for heart rhythm diagnostics as well as efficiency of
designed algorithms was proved by data verification. The number of
errors appeared to be surprisingly low, and therefore the
poly-narrow-band PCRP model was confirmed as a very reliable one.

The techniques and methods applied in experimental study of the vocal
signals with the purpose of automatic extraction and evaluation of some
physiologically meaningful parameters which are the characteristics of
the mathematical model and can be used in a diagnostic two classes
classifier for the heart rhythm disorders are presented.

The system was used in diagnostics at some medical institutions, and
very good results were obtained. An advantage of the system is the
possibility to process the signal only in the time domain. That is why
system implementation is relatively inexpensive.

Key words: vocal signal model, period of correlation, sequential search
algorithm, variation functional criterion.

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