.

Компресія і відтворення сигналів мови за допомогою екстремального аналізу і цифрової фільтрації: Автореф. дис… канд. техн. наук / Ю. Залєвскі, Держ.

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Aea?aeaaiee iaoeiai-aeine?aeiee ?inoeooo ?ioi?iaoe?eii? ?io?ano?oeoo?e

Cae?ane? THcao

OAeE 621.395+621.374

Eiii?an?y ? a?aeoai?aiiy neaiae?a iiae ca aeiiiiiaith aeno?aiaeueiiai
aiae?co

? oeeo?iai? o?eueo?aoe??

05.13.06 – Aaoiiaoeciaai? nenoaie oi?aae?iiy oa i?ia?aneai?

?ioi?iaoe?ei? oaoiieia??

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

EUeA?A – 1998

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia a ?inoeooo? Oaeaeiioi?eaoe??
Oaoi?/ii-N?euenueeiainiiaea?nueei? Aeaaeai??, Aeaeaiu, Iieueua

Iaoeia? ea??aieee: aeieoi? oaoi?/ieo iaoe, i?ioani?

IIA??AIEE Aieiaeeie? Ieaenaiae?iae/,

Aea?aeaaiee iaoeiai-aeine?aeiee ?inoeooo ?ioi?iaoe?eii? ?io?ano?oeoo?e,
caa.a?aeae?eii; ?inoeooo Oaeaeiioi?eaoe?? ONA, Aeaeaiu, Iieueua,
i?ioani? eaoaae?e “Oaeao?aini?n?y”

aeieoi? oaoi?/ieo iaoe AeAEEOe?INE? Caec?neaa

?inoeooo Oaeaeiioi?eaoe?? ONA, Aeaeaiu, Iieueua,

i?ioani? eaoaae?e “Oaeao?aini?n?y”

Io?oe?ei? iiiiaioe:

I?ia?aeia onoaiiaa: aeieoi? o?c.-iao. iaoe, i?ioani?
ssai?nueeee ?ai? Ieeieaeiae/,

O?ceei-iaoai?/iee ?inoeooo ?i.A.A.Ea?iaiea IAI Oe?a?ie, caa. a?aeae?eii;

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio, IIAeEA ?iiai Ieeieaeiae/,

Oe?a?inueea aeaaeai?y ae?oea?noaa, aeioeaio

Aea?aeaaiee oi?aa?neoao “Euea?anueea iie?oaoi?ea” I?i?noa?noaa ina?oe
Oe?a?ie, eaoaae?a “Aaoiiaoeciaai? nenoaie oi?aae?iiy”

Caoeno a?aeaoaeaoueny “ 8 ” a?oaeiy 1998?. i “ 14-00 ” aiae. ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 35.813.01 o Aea?aeaaiiio
iaoeiai-aeine?aeiiio ?inoeooo? ?ioi?iaoe?eii? ?io?ano?oeoo?e, (290053,
Euea?a, aoe.Iaoeiaa, 5 A).

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe? ?inoeoooo (290053,
Euea?a, aoe.Iaoeiaa, 5 A).

Aaoi?aoa?ao ?ic?neaiee “ 5 ” eenoiiaaea 1998?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee,

aeieoi? oaoi?/ieo iaoe
Aoiue ?.A.CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue ?iaioe. ?ioaineaiee ?icaeoie oaeaeiioi?eaoe?eieo iineoa
aeiaaa? ?ic?iaeaiiy iiaeo aoaeoeaieo iaoiae?a ia?aaea/? iiaieo neaiae?a,
ui ni?ey? ?icaeoeo ?ioi?iaoe?eieo oaoiieia?e. Iaeiei c aieiaieo
i?aeoiae?a ? eiii?an?y neaiae?a, yea aeicaiey? ciaioeoe ianya aeaieo,
aea iaeii/anii iia??oo? ye?noue ia?aaeaaaiiy oa a?aeoai?aiiy neaiae?a.
Caaacia/aiiy iaiao?aeii? c?icoi?eino? oa ae?aciino? iiae iiaeeeaa i?e
canoinoaaii? oeeo?iaeo iaoiae?a ia?aoai?aiiy oa ia?iaee neaiae?a. Aeey
iiaeaiiy neaiae?a a oeeo?ia?e oi?i? oe?iei aeei?enoiaothoueny ??cieoeaa?
iaoiaee iiaeaiiy neaiae?a, aei yeeo iaeaaeaoue ??cii-iai?oi? aeaee
aeaeueoa-iiaeoeyoe?? (AeI). Oa?aeoa?iith aeanoea?noth on?o oei?a
??cieoeaai? iiaeoeyoe?? ? aeniea caaaaeino?ee?noue. Iaeiae ??
aeei?enoaiiy iaiaaeaia a?aenooi?noth aoaeoeaieo iaoiae?a aecia/aiiy
ia?aiao??a ia?aoai?aiiy (/anoioe aeene?aoecaoe?? oa e?ie?a eaaiooaaiiy).
Na?aae aaaaoueio a?aeiieo niinia?a eiii?an?? neaiae?a aaaeeeao ?ieue
a?ae?a?a? eiii?an?y ia iniia? aeno?aiaeueiiai aiae?co (AA). Iaoiaee
eiii?an?? neaiae?a ? ?o a?aeoai?aiiy a ?aaeei? ?aaeueiiai /ano c
canoinoaaiiyi AA oa oeeo?iai? o?eueo?aoe?? caaacia/othoue aenieee
eiao?oe??io noeneo neaiae?a i?e caaeai?e oi/iino? a?aeoai?aiiy ? oiio
caneoaiaothoue ia aeaeueoee ?icaeoie. A AA aeioe?eueii ? i?e?iaeii
i?aaenoaaeyoe aiaeiaia? neaiaee c aeiiiiiaith AeI. Aeey i?aeaeuaiiy
aoaeoeaiino? AA ianoaoe?iia?ieo neaiae?a a ?aaeei? ?aaeueiiai /ano,
cie?aia, iiaieo neaiae?a, iaiao?aeii i?iaanoe aeine?aeaeaiiy oi/iino? AA
i?e aeei?enoaii? ??cieo aeae?a ??cieoeaai? iiaeoeyoe??, ye aeey ia
ci?oaieo oi?iao?a AeI, ?EI, oae ? ci?oaieo – AeI-?EI. ?acoeueoaoe oeeo
aeine?aeaeaiue aeicaieyoue ?aae?coaaoe aeiiii?/i? ? oaoiieia?/i?
niaoe?ae?ciaai? niaoei?ioeani?e a ?ioaa?aeueiiio aeeiiaii? aeey ?iaioe a
?aaeei? ?aaeueiiai /ano. Oaia aeena?oaoe?eii? ?iaioe ? aeooaeueiith,
ine?eueee aiia iia’ycaia c ?ic?iaeaiiyi iiaeo aoaeoeaieo iaoiae?a
eiii?an?? iiaieo neaiae?a a ?aaeei? ?aaeueiiai /ano c aeei?enoaiiyi AA
oa ??cieoeaai? iiaeoeyoe??, a oaeiae a?aeoai?aiiyi neaiae?a i?ney
eiii?an?? c canoinoaaiiyi aaeaioeaii? oeeo?iai? o?eueo?aoe??.
Aeooaeuei?noue oaie i?aeoaa?aeaeo?oueny a?aioii 8 T11 D 007 13 Eii?oaoo
Iaoeiaeo Aeine?aeaeaiue Iieueu?, yeee iai?aaeaiee ia ?ica’ycoaaiiy
iinoaaeaieo a aeena?oaoe?ei?e ?iaio? caaaeaiue. Oaia ?iaioe a?aeiia?aea?
Aea?aeaai?e i?ia?ai? ?icaeoeo oaeaeiioi?eaoe?? Iieueu?.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaia-ie. Iniiao ?iaioe
neeaaeathoue ?acoeueoaoe oai?aoe/ieo oa i?aeoe/ieo aeine?aeaeaiue,
aeeiiaieo aaoi?ii naiino?eii aai i?e eiai aaciina?aaei?e o/ano? a
?inoeooo? Oaeaeiioi?eaoe?? Oaoi?/ii-N?euenueeiainiiaea?nueei? Aeaaeai??
(i.Aeaeaiu) c 1971 io 1998 ?iee.

?iaioe aeeiioaaeeny a ?aieao: i?ia?aie Eii?oaoo Iaoeiaeo Aeine?aeaeaiue
Iieueu?, a?aio 8T11D007.13, i. “Aaeaioeaia eiii?an?y ? a?aeoai?aiiy
neaiae?a a ?aaeei? ?aaeueiiai /ano c aeei?enoaiiyi aeno?aiaeueiiai
aiae?co oa oeeo?iai? o?eueo?aoe?? a oi?iao? aeaeueoa-iiaeoeyoe??”;
Aea?aeaaii? i?ia?aie ooiaeaiaioaeueieo aeine?aeaeaiue Iieueu? CPBP ?
02.16, i?iaeaia “Eiio?ieueii-aei??thaaeuei? nenoaie aeey ae?aaiinoeee oa
ea?oaaiiy oaeaeiioi?eaoe?eieie ia?aaeaie”; a?aeii/i? i?iaeaie
08.02.B.01.09 I?i?noa?noaa ca’yceo Iieueu?, oaia “?ic?iaeaiiy ?
ai?iaaaeaeaiiy iaoiaeeee aei??thaaiiy oiiiaiai ooio a oaeaoiiiiio
eaiae?”.

Iaoa aeine?aeaeaiiy: ?ic?iaeaiiy iaoiae?a eiii?an?? oa a?aeoai?aiiy
iiaieo neaiae?a c aeei?enoaiiyi aeno?aiaeueiiai aiae?co oa aaeaioeaii?
oeeo?iai? o?eueo?aoe??, a oaeiae ?ic?iaeaiiy no?oeoo? aoaeoeaieo
niaoei?ioeani??a aeey ?aae?caoe?? oeeo iaoiae?a.

A ?iaio? iinoaaeai? ? ae??oai? ianooii? caaea/?:

aeei?enoaiiy aaeaioeaii? oeeo?iai? o?eueo?aoe?? a /anoioi?e iaeano? aeey
aeine?aeaeaiiy ooi?a a oaeaoiiieo eaiaeao;

?icaeoie iaoiaeeee eiii?an?? neaiae?a c aeei?enoaiiyi aeno?aiaeueiiai
aiae?co oeyoii ?ic?iaeaiiy oi?aa?naeueiiai aeai?eoio aecia/aiiy a
?aaeei? ?aaeueiiai /ano no?iaeo oa iano?iaeo aeno?aioi?a, iacaeaaeii
a?ae oi?iaoo ii-aeaiiy neaiae?a;

?ic?iaeaiiy caaaeueieo canaae aeai?o /anoioe aeene?aoecaoe?? oa e?ie?a
eaaiooaaiiy AeI i?e ia?aoai?aii? noaoe?iia?ieo a?aiaee/ieo aeiaaeeiaeo
neaiae?a ? ia i?aenoaa? oeueiai aecia/aiiy caaaeueii?
aiie?ooaeii-/aniai? na?aaeiueieaaae?aoe/ii? iioeaee aeno?aiaeueiiai
aiae?co;

?ic?iaeaiiy iaoiae?a i?aeaeuaiiy oi/iino? cai?iiiiiaaiiai iaoiaeo
a?aeoai?aiiy iiaieo neaiae?a i?ney eiii?an?? c aeei?enoaiiyi e?i?eii?
?ioa?iieyoe?? oa oeeo?iai? o?eueo?aoe?? ia iniia? aiae?co
na?aaeiueieaaae?aoe/ieo iioeaie ai?ieneiaoe??, a oaeiae eiii’thoa?ii?
neioeyoe??;

?ic?iaeaiiy aoaeoeaieo no?oeoo? niaoei?ioeani??a aeey aeno?aiaeueiiai
aiae?co a ?aaeei? ?aaeueiiai /ano, a oaeiae aeey a?aeoai?aiiy neaiae?a
i?ney oaei? eiii?an?? c aeiiiiiaith aaeaioeaieo no?oeoo? c
i?i?i?caoe??th na?aaeiueieaaae?aoe/ieo iioeaie a /ania?e oa /anoioi?e
iaeanoyo.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a:

cai?iiiiiaaii aeei?enoaiiy aaeaioeaii? oeeo?iai? o?eueo?aoe?? a
/anoioi?e iaeano? aeey aeine?aeaeaiiy ooi?a a oaeaoiiieo eaiaeao;

?icaeiaii iaoiaeeeo eiii?an?? c aeei?enoaiiyi caaaeueiiai aeai?eoio
aeno?aiaeueiiai aiae?co aeey aecia/aiiy a ?aaeei? ?aaeueiiai /ano
no?iaeo oa iano?iaeo aeno?aioi?a, iacaeaaeii a?ae oi?iaoo i?aaenoaaeaiiy
neaiaeo;

?icaeiaii canaaee aeai?o /anoioe aeene?aoecaoe?? oa e?ie?a eaaiooaaiiy
AeI aeey ia?aoai?aiiy noaoe?iia?ieo a?aiaee/ieo aeiaaeeiaeo neaiae?a ?
ia i?aenoaa? oeueiai oaeineiiaeaii iaoiaeeeo aecia/aiiy caaaeueii?
aiie?ooaeii-/aniai? na?aae-iueieaaae?aoe/ii? iioeaee aeno?aiaeueiiai
aiae?co;

ae?noaea iiaeaeueoee ?icaeoie iaoiaeeea i?aeaeuaiiy oi/iino?
a?aeoai?aiiy neaiae?a i?ney eiii?an?? a ?aaeei? ?aaeueiiai /ano c
aeei?enoaiiyi e?i?eii? ?ioa?iieyoe?? oa oeeo?iai? o?eueo?aoe?? ia iniia?
aiae?co na?aaeiueieaaae?aoe/ieo iioeaie ai?ieneiaoe??, a oaeiae
eiii’thoa?ii? neioeyoe??;

?ic?iaeaii aoaeoeai? no?oeoo?e niaoei?ioeani??a aeey aeno?aiaeueiiai
aiae?co oa a?aeoai?aiiy neaiae?a i?ney eiii?an?? c i?i?i?caoe??th
iioeaie a /ania?e oa /anoioi?e iaeanoyo.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. Io?eiai? ?acoeueoaoe
aeine?aeaeaiue aeicaieythoue noai?thaaoe aoaeoeai? niaoe-i?ioeani?e aeey
eiii?an?? aeaieo aeey oaeaiao??? ? oaeaeiioi?eaoe??. Cai?iiiiiaaiee ?
?ic?iaeaiee a aeena?oaoe?? iaoiae eiii?an?? iiaieo neaiae?a ia iniia?
aeno?aiaeueiiai aiae?co aeicaiey? io?eiaoe a oaeaoiiieo eaiaeao
eiao?oe??io eiii?an?? ??aiee 2. Cai?iiiiiaaia iaoiaeeea aei??thaaiiy
oiiiaiai ooio ia iniia? aaeaioeaii? oeeo?iai? o?eueo?aoe?? a /anoioi?e
iaeano? iie?auo? oi/i?noue aei??thaaiiy ia 5%, i?aeaeuo? oaeaeeiae?th ?
ciaioo? o?oaeii?noe?noue ia 25%. ?ic?iaeai? aeai?eoie ? i?eioeeie
iiaoaeiae no?oeoo? iiaeooue ciaeoe canoinoaaiiy a aenia?eiaioao,
nenoaiao ea?oaaiiy i?iieneiaeie ia’?eoaie oa oaeaeiioi?eaoe??.

?aae?caoe?y ? ai?iaaaeaeaiiy ?acoeueoao?a ?iaioe:

?ic?iaeaii iaoiaeeeo aei??thaaiiy oiiiaiai ooio ia iniia? aaeaioeaii?
oeeo?iai? o?eueo?aoe?? a /anoioi?e iaeano? (ai?iaaaeaeaia a o??i?
“System s.c.”, i. Oi?oiue, Iieueua, aeo ai?iaaaeaeaiiy a?ae
16.05.1996?.); noai?aii aei??thaa/ oiiiaiai ooio a oaeaoiiiiio eaiae?
(ai?iaaaeaeaii a ?inoeooo? Ca’yceo, i. Aa?oaaa, Iieueua, ?a?no?. iiia?
ai?iaaaeaeaiiy I?i?noa?noaa Ca’yceo Iieueu? 08.02.A.01.09);

?ic?iaeaii i?eno??e KSAE-1 aeey eiii?an?? neaiae?a a oaeaoiiieo eaiaeao
c aeei?enoaiiyi aeno?aiaeueiiai aiae?co (ai?iaaaeaeaii a o??i? “SOLID”,
i.Aeaeaiu, Iieueua, aeo ai?iaaaeaeaiiy a?ae 04/02/1997?.);

?ic?iaeaii nenoaio i?aeiia?aoe?eiiai ? e?ioeaaiai eiio?ieth
oaoiieia?/iiai i?ioeano aeaioiaeaiiy c’?aeioaa/?a ? ia?aieea/?a,
aaoiiaoeciaaia ?iai/a i?noea aeey iiioaaeo i?i?aoth?ieo eiiaeainaoi??a,
eiii’thoa?eciaaio nenoaio eiio?ieth c’?aeioaa/?a ? ia?aieea/?a
(ai?iaaaeaeaii ia oaa?eoe? aeaeo?iiieo ae?ia?a “Aeueo?a”, i.Aeaeaiu,
Iieueua, i?ioieiee ?1/82 a?ae 30.11.82?. ? ?1/89 a?ae 19.12.89?.);

ia caiiaeaiiy I?i?noa?noaa Ca’yceo Iieueu? ?acoeueoaoe aeena?oaioa
aeei?enoai? i?e ia?a?iaoe? iieuenueeeo ii?i a aaeoc? aoae?aieoeoaa
oaeaeiioi?eaoe?e c iaoith ocaiaeaeaiiy ?o c ?a?iiaenueeeie noaiaea?oaie,
a oaeiae aeey ?yaeo oaoi?/ieo ii?iaoeaieo aeieoiaio?a noiniaii
aoae?aieoeoaa oaeaeiio-i?eaoe?e (i?ioieie a?ae 21.12.1995?.);

?acoeueoaoe ?iaioe aeei?enoiaothoueny a iaa/aeueiiio i?ioean? a
?inoeooo? Oaeaeiioi?eaoe?? Oaoi?/ii-N?euenueeiainiiaea?nueei? Aeaaeai??,
Aeaeaiu, Iieueua (o?e iin?aieee aeey nooaeaio?a oa neooa/?a eo?n?a
i?aeaeuaiiy eaae?o?eaoe??).

Ca oni?oe a iaoeia?e ? oaoi?/i?e ae?yeueiino? aeena?oaio iaai?iaeaeaiee
Cieioith A?aeciaeith Iieueu? “Caneoaeaiee i?aoe?aiee ca’yceo”, iaaeaeeth
Ia?iaeii? Ina?oe Iieueu?, a oaeiae Cieioei O?anoii ca Caneoae.

Iniaenoee aianie aaoi?a. A ?iaioao, iaienaieo o ni?aaaoi?noa?,
aeena?oaioo iaeaaeeoue: a [1,5] – iinoaiiaea caaea/?; a [3,4,8] –
iaoiaeeea aei??thaaiiy ooi?a; a [2,11] – i?aeoiaee aei aeainooiaiaaiai
a?aeoai?aiiy neaiae?a; a [9,12] – aeai?eoie; a [10,13] – eiii’thoa?ia
neioeyoe?y; a [6,7,12] – no?oeoo?i? noaie.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? ?acoeueoaoe
aeena?oaoe?eii? ?iaioe aeiiia?aeaeeny ? iaaiai?thaaeeny ia aeaio
i?aeia?iaeieo oa /ioe?ueio ?anioae?eainueeeo iaoeiai-oaoi?/ieo
eiioa?aioe?yo ? neiiic?oiao. Aeena?oaoe?eia ?iaioa ?icaeyaeaeanue ia
nai?ia?? ?inoeoooo Oaeaeiioi?eaoe?e ONA, Aeaeaiu, a oaeiae ia
ia’?aeiaiiio nai?ia?? Aea?aeaaiiai iaoeiai-aeine?aeiiai ?inoeoooo
?ioi?iaoe?eii? ?io?ano?oeoo?e oa O?ceei-iaoai?/iiai ?inoeoooo ?i. A.A.
Ea?iaiea, Euea?a, a 1998 ?.

Ioae?eaoe??. Ca oaiith aeena?oaoe?eii? ?iaioe iioae?eiaaii 14
ae?oeiaaieo i?aoeue, o oiio /ene? 5 noaoae o ca??ieeao iaoeiaeo i?aoeue,
7 ?ia?o o ca??ieeao iaoa??ae?a ? i?aoeue eiioa?aioe?e, 2 iaoaioe
Iieueu?.

No?oeoo?a oa ianya ?iaioe. Aeena?oaoe?eia ?iaioa neeaaea?oueny ?c
anooio, /ioe?ueio ?icae?e?a, aeniiae?a, nieneo aeei?enoaieo aeaea?ae oa
aeiaeaoe?a. Aeena?oaoe?y i?noeoue 132 noi??iee iaoeiiieniiai oaenoo, 29
?ethno?aoe?e, nienie e?oa?aoo?e c 128 iaeiaioaaiue oa 31noi??ieo
aeiaeaoe?a.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaaii aeooaeuei?noue ?iaioe, iieacaii ?? ca’ycie c
iaoeiaeie i?ia?aiaie, ieaiaie oa oaiaie, noi?ioeueiaaii iaoo oa caaea/?
aeine?aeaeaiue, iaoeiao iiaecio ? i?aeoe/ia cia/aiiy io?eiaieo
?acoeueoao?a. Iaaaaeaii aeai? i?i ?aae?caoe?th oa ai?iaaaeaeaiiy
?acoeueoao?a ?iaioe, ?? ai?iaaoe?th ? ioae?eaoe??.

O ia?oiio ?icae?e? ?icaeyiooi iniaeeaino? neaiae?a oaeaeiioi?eaoe?eieo
nenoai. I?iaiae?ciaaii iaoiaee iieno iiaieo neaiae?a oa ooi?a a /ania?e
oa /anoioi?e iaeanoyo, a oaeiae iienaii ?ic?iaeaiee iaoiae aaeaioeaii?
oeeo?iai? o?eueo?aoe?? oiiiaeo ooi?a a /anoioi?e iaeano?.

aonoeio eiia??iino? iiaeia iienaoe aaia-ooieoe??th.

Ia ye?noue ca’yceo aai eiai aeaeuei?noue i?e caaeai?e yeino? aieeaa?
oiiiaee ooi, yeee i?noeoue aaeeoeaio ? ioeueoeie?eaoeaio neeaaeia?.
Aeaea?aea neeaaeiaeo oiiiaiai ooio a oaeaoii-iiio eaiae? iacaeaaei?,
oiio nai? neeaaeia? aaaaeathoue noaoenoe/ii iacaeaaeieie.

Aeey ia’?eoeaii? ioe?iee aieeao a?aeiioaiiy neaiae/ooi ia ye?noue
i?eeiaiiy iiaieo neaiae?a iaiao?aeii i?iaiaeeoe caaaeoaaiiy ooio, yea
?aae?co?oueny oeyoii ei?aeoe?? niaeo?a oiiiaiai ooio i?e aeiiiiic?
o?eueo?a c caaeaiith aiie?ooaeii-/anoioiith oa?aeoa?enoeeith.
Cai?iiiiiaaii i?iaiaeeoe caaaeoaaiiy ooio ca aeiiiiiaith aaeaioeaii?
oeeo?iai? o?eueo?aoe?? a /anoioi?e iaeano?, aeai?eoi yei? ianooiiee:

, (1.1)

, (1.2)

aaco?oueny ia aiae?c? oaiaeaioe?e ci?i aeno?aeieo ??cieoeue i?ae eiai
/a?aiaeie a?aee?eaie:

, (2.1)

a?aee?ee a iiiaioe aeene?aoecaoe?? (i-1,i, i+1).

Iiooe aeaio no?iaeo oa /ioe?ueio iano?iaeo aeno?aioi?a a?aeaoaa?oueny
ca?aeii c ianooiiei aeai?eoiii:

(2.2)

– icia/a? iiyao aeno?aioia.

Aeai?eoi (2.2) ? oi?aa?naeueiei aeai?eoiii, yeee ia caeaaeeoue a?ae
niiniao oeeo?iaiai i?aaenoaaeaiiy neaiaeo.

iia’ycaia c i?e?inoii ao?aeiiai neaiaeo a ?-io ia??iae?
aeene?aoecaoe??:

. (2.3)

Ae?ac (2.3) ae?eniee, yeui a?aenooi? ia?aiaaaioaaeaiiy aeaeueoa-eiaea?a,
iaoiiaeaia cia/iith e?oo?noth ia?inoaiiy aai niaaeaiiy ao?aeiiai
neaiaeo. Oiae? iiaeia caienaoe

, (2.4)

– e?iee eaaiooaaiiy AeI.

Aeey e?i?eii? AeI aeai?eoi iiooeo no?iaeo oa iano?iaeo aeno?aioi?a i?e
aiae?c? /ioe?e- oa i‘yoe?ic?yaeieo eiia?iaoe?e iiaeia iiaeaoe ianooiiei
/eiii:

(2.5)

– iano?iaee aeno?aioi.

AA c aeei?enoaiiyi AeI oa?aeoa?eco?oueny iioeaeaie eaaiooaaiiy
(aiie?ooaei? iioeaee) oa aeene?aoecaoe?? (/ania? iioeaee). Caaaeueio
na?aaeiueieaaae?aoe/io aiie?ooaeii-/aniao iioeaeo AA iiaeia ioe?ieoe
aeei?enoiaoth/e caeaaei?noue:

, (2.6)

.

Ae?ac (2.6) aeicaiey? i?i?i?coaaoe iioeaeo AA (oiaoi iioeaeo eiii?an??
aeaieo) oeyoii a?aeiia?aeiiai aeai?o /anoioe aeene?aoecaoe?? oa e?ieo
eaaiooaaiiy.

(i?e ai?ieneiaoe?? neioni?aeaeueiiai neaiaeo neaiaeii o?eeooii?
oi?ie), ia/eneaia ia i?aenoaa? iaeneiaeueii? noie aeaio aeiaooe?a
ona?aaeiaieo aiie?ooae aa?iii?e ia ?o /anoioe, aeey ona?aaeiaiiai
niaeo?a ia? aeaeyae:

, (2.7)

-iaeneiaeueiee e?ie eaaiooaaiiy. Iiae?aiee i?aeo?ae aeei?enoiao?oueny
? aeey ia/eneaiiy oi/ieo ioe?iie /anoioe aeene?aoecaoe?? (ia i?aenoaa?
iaeneiaeueii? e?ooino? neioni?aeaeueiiai neaiaeo).

E?iee eaaiooaaiiy AeI iiaeooue aooe caaeai? ai??i?? (aeoiaey/e c
iaeneiaeueii aeiionoeieo ooi?a eaaiooaaiiy). Oiae? /anoioa
aeene?aoecaoe?? aeae?a?oueny c o?aooaaiiyi oeeo e?ie?a. A ?ioiio
aeiaaeeo aaee/eia e?ie?a eaaiooaaiiy aeae?a?oueny oaeei /eiii, uia ia
aeiionoeoe ia?aiaaaioaaeaiiy aeaeueoa-eiaea?a ca e?oo?n-oth,
iaoiiaeaiiai oaeaeeei c?inoaiiyi aai niaaeaiiyi ao?aeiiai neaiaeo.
A?aeiia?aei? ae?ace aeey ia/eneaiiy e?ie?a eaaiooaaiiy iaea?aeo?ii c
(2.7) i?e caaeai?e /anoio? aeene?aoecaoe??.

Aeey ioe?iee aoaeoeaiino? eiii?an?? iiaieo neaiae?a i?e aeei?enoaii?
aeno?aiaeueiiai aiae?co aeei?enoiao?oueny eiao?oe??io eiii?an??, yeee o
aeiaaeeo canoinoaaiiy AeI ia? aeaeyae:

, (2.8)

– /anoioa aeene?aoecaoe?? AeI,

– /enei aeno?aioi?a aeeth/ii c ia?oei a?aee?eii.

.

O?ao?e ?icae?e i?enay/aiee ?ic?iaeaiith niinia?a a?aeoai?aiiy iiaieo
neaiae?a a ?aaeei? ?aaeueiiai /ano i?ney eiai eiii?an?? c aeei?enoaiiyi
AA. Oaea a?aeoai?aiiy iiaeia cae?enieoe c ia?aa??eith iioeaie
a?aeoai?aiiy a /ania?e aai /anoioi?e iaeanoyo.

Iaoiae ?aeiino?oeoe?? neaiaeo a /ania?e iaeano?.

Cai?iiiiiaaiee iaoiae a?aeoai?aiiy neaiaeo a /ania?e iaeano? i?ney
eiii?an?? ia iniia? AA c AeI aaco?oueny ia e?i?ei?e ?ioa?iieyoe?? oa
“aeaeaaeaeoaaii?”.

E?i?eia ?ioa?iieyoe?y cia/aiue, io?eiaieo a ?acoeueoao? AA, aeicaiey?
io?eiaoe a?oao ioe?ieo neaiaeo ? a?aeaoaa?oueny aiia ca?aeii c
aeai?eoiii

, (3.1)

– cia/aiiy non?aei?o aeno?aioi?a.

Aeaeaaeaeoaaiiy i?ney ?ioa?iieyoe?? cae?enith?oueny c aeiiiiiaith
aaeaioeaii? oeeo?iai? o?eueo?aoe??. Caaaeueiei aeai?eoiii oe???
o?eueo?aoe?? ? ooieoe?y aaeaioeaii? cai?oee

, (3.2)

, yea iieno?oueny caeaaei?noth

, (3.3)

? i?eaiaeeoue aei i?i?i?caoe?? na?aaeiueieaaae?aoe/ii? iioeaee oeyoii
ci?ie oa?aeoa?enoeee o?eueo?a.

Iaoiae ?aeiino?oeoe?? neaiaeo a /anoioi?e iaeano? .

?aeiino?oeoe?y neaiaeo a /anoioi?e iaeano? a?ae??ciy?oueny a?ae
?aeiino?oeoe?? a /ania?e iaeano? (3.2) ?ioei niiniaii aaeaioaoe??
aaaiaeo eiao?oe??io?a:

, (3.4)

i i?noea ?o iiyae, oaeiae ?ethno?o? ?en.3.1a.

oe?ei? ?aae?caoe?? – ia ?en.3.2b. I?e ii??aiyii? ?en.3.1b i ?en.3.2b
aeaeii, ui niaeo? neaiaeo i?ney a?aeoai?aiiy c aeei?enoaiiyi o?eueee
e?i?eii? ?ioa?iieyoe?? ? niioai?aiee. Oea i?iyaey?oueny a ca?eueoaii?
iiooae-iino? aeniei/anoioieo neeaaeiaeo oa ciaioaii? iiooaeiino?
iecueei/anoioieo ? iaoiiaeaii i?iyaii eieeaaiue A?aana. Ianooiiei aoaiii
?aeiino?oeoe?? neaiaeo ? oeeo?iaa o?eueo?aoe?y. Ia ?en.3.3a i ?en.3.3b
iieacaii a?ae??cie ?aae?caoe?? neaiaeo i?ney e?i?eii? ?ioa?iieyoe?? ?
aaeaioeaii? oeeo?iai? o?eueo?aoe??, a oaeiae ioe?ieo niaeo?a iiooaeiino?
oe?ei? ?aae?caoe?? oeueiai neaiaeo.

Aeaeii, ui aeei?enoaiiy oaei? o?eueo?aoe?? i?aeaeuo? oi/i?noue
a?aeoai?aiiy neaiaeo.

O /aoaa?oiio ?icae?e? ?icaeyaeathoueny cai?iiiiiaai? i?ea?iaeuei?
no?oeoo?e niaoe?ae?ciaaieo i?ioeani??a aeey AA c AeI oa aeey
a?aeoai?aiiy neaiae?a i?ney eiii?an?? c i?i?i?caoe??th iioeaie a /ania?e
oa /anoioi?e iaeanoyo. Aea?? ?o ia?aiao??a a?oioo?oueny ia iaoiaeao,
iaaaaeaieo a iiia?aaei?o ?icae?eao.

( Aeey ?aae?caoe?? aeai?eoio iiooeo aeno?aioi?a (2.5) cai?iiiiiaaii
no?oeoo?o aaeaioeaiiai aeno?aiaeueiiai aiae?caoi?a, yeee i?noeoue
EAeI-eiaea?, aeie aiae?caoi?a oa aeie aaeaioeaiiai aeai?o e?ieo
eaaiooaaiiy.

aeiineoueny ??oaiiy i?i ci?io aai iaci?ii?noue aaaiaeo eiao?oe??io?a
{hm}, iiaiee iaa?? yeeo ciaoiaeeoueny a ROM.

?ic?iaeaia no?oeoo?a niaoei?ioeani?a aeey a?aeoai?aiiy neaiae?a i?ney
aeno?aiaeueiiai aiae?co a?ae??ciy?oueny i?inoioith oa aeiiii?/i?noth.
Aiia aeicaiey? aeinyaoe aeniei? oi/iino? a?aeoai?aiiy ianoaoe?iia?ieo,
cie?aia, iiaieo neaiae?a ? iiaea ciaeoe canoinoaaiiy a oaeaeiioi?eaoe??.

, io?eiaiiai i?ney o?eueo?aoe?? neaiaeo.

? ia iniia? oeueiai aeiineoueny ??oaiiy i?i ci?io aai iaci?ii?noue
aaaiaeo eiao?oe??io?a ?iioeuenii? oa?aeoa?enoeee o?eueo?a.

INIIAI? ?ACOEUeOAOE ? AENIIAEE

1. Cai?iiiiiaaii aeei?enoaoe aaeaioeaio oeeo?iao o?eueo?aoe?th a
/anoioi?e iaeano? aeey aeine?aeaeaiiy ooi?a a oaeaoiiieo eaiaeao, ui
aeicaieeei noai?thaaoe aeiiii?/io aei??thaaeueio aia?aoo?o, i?eaeaoio
aeey iio?aa oaeaiao???.

2. ?icaeiaii iaoiaeeeo eiii?an?? c aeei?enoaiiyi aeno?aiaeueiiai aiae?co
oa aeaeueoa-iiaeoeyoe?? aeey iia?eueiici?iieo neaiae?a c? no??iei
niaaeath/ei niaeo?ii, neaiae?a, aeenia?n?y yeeo eiioeaio?o?oueny a ieie?
iaei??? aa?iii?ee, a oaeiae neaiae?a c aeanoeainoyie iaio iiia?aaei?o
oei?a.

3. Aeine?aeaeaii c aeiiiiiaith eiii’thoa?iiai iiaeaethaaiiy caeaaei?noue
na?aaeiueieaaae?aoe/ii? aiie?ooaeii-/aniai? iioeaee aeno?aiaeueiiai
aiae?co a?ae /anoioe aeene?aoecaoe?? oa e?ie?a eaaiooaaiiy e?i?eii?
aeaeueoa-iiaeoeyoe??, ui aeicaiey? i?aeae?aoe ia?aiao?e aeno?aiaeueiiai
aiae?co a a?aeiia?aeiino? c aeiiaaie aai iiaeeeainoyie aia?aoo?ii?
?aae?caoe??.

4. ?ic?iaeaii iaoiaeeeo aeainooiaiaaiai a?aeoai?aiiy iiaieo neaiae?a
(i?ney eiii?an?? ia iniia? aeno?aiaeueiiai aiae?co), ui aeeth/a? e?i?eio
?ioa?iieyoe?th oa aaeaioeaio oeeo?iao o?eueo?aoe?th.

5. C aeiiiiiaith eiii’thoa?iiai iiaeaethaaiiy oa eiii?an?? ?iaeaaiai
ooio aeine?aeaeaii oi/i?noue aeainooiaiaai? iaoiaeeee a?aeoai?aiiy,
aeei?enoiaoth/e ye e?eoa??e oi/iino? na?aaeiuei-eaaae?aoe/io iioeaeo.

Cai?iiiiiaaii iia? aeai?eoie oa ?ic?iaeaii no?oeoo?e niaoei?ioeani??a
aeey aeno?aiaeueiiai aiae?co, a oaeiae aeey a?aeoai?aiiy neaiae?a i?ney
aeno?aiaeueiiai aiae?co a ?aaeei? ?aaeueiiai /ano c i?i?i?caoe??th
iioeaie a /ania?e oa /anoioi?e iaeanoyo.

NIENIE IIOAE?EIAAIEO AAOI?II I?AOeUe

CA OAIITH AeENA?OAOe??

Cae?ane? TH., Cae?inueeee ?., ?iaeaie?anueeee ?. Aecia/aiiy /anoioe
aeene?aoecaoe?? aeaeueoa-iiaeoeyoe?? ia iniia? iaeneiaeueii? e?ooino?
aeiaaeeiaiai neaiaeo // A?aea?? ? ia?iaea ?ioi?iaoe??.-1998.- ? 12
(88).- N.42-45.

Iia??aiee A.I., Cae?ane? TH., Aeaeeoe?ine? C., Eaae?iane? I.
A?aeoai?aiiy neaiae?a i?ney eiii?an?? c aeei?enoaiiyi aaeaioeaii?
oeeo?iai? o?eueo?aoe?? // A?aea?? ? ia?iaea ?ioi?iaoe??.-1998.- ? 12
(88).- N. 46-49.

Drzycimski Z., Zalewski J,. Iwanski T. Korelacja mocy szumu w kana?ach
grup pierwotnych i wtornych // Przegled Teleko-munikacyjny.-1986.- Nr.
6.- S. 186-187.

Boenigk T., Drzycimski Z., Zalewski J., Iwanski T. Kwantylowa metoda
oceny mocy szumu t?owego w kanale telefonicznym // Przegled
Telekomunikacyjny.-1989.- Nr. 7.- S. 206-208.

Boenigk T., Drzycimski Z., Iwanski T., Knopik L., Zalewski J.
Statystyczna analiza wynikow pomiarow psofometrycznej mocy szumu w
kana?ach telefonicznych // Zeszyty Naukowe ATR. Telekomunikacja –
Elektronika. –1979.- S.127-151.

Pogribny W., Zalewski J., Drzycimski Z. Adaptacyjny sposob odtwarzania
sygna?ow . Patent UP RP P.321446.-1997 .

Pogribny W., Zalewski J., Drzycimski Z. Adaptacyjny sposob odtwarzania
sygna?ow . Patent UP RP P.321924.- 1997.

?iaeaie?anueeee ?., Caeaane? TH., Cae?inueeee ?. Iaoiaeeea aei??thaaiiy
ooi?a o oaeaoiiieo eaiaeao a /anoioi?e iaeano? // Aeiiia?ae? i?aeia?iae.
iaoe.-oaoi. eiio. “ONSET`98”.-Euea?a, 1998.- C.77-78.

Iia?eaiie A., Aeaeuoeeinee C., Caeaanee TH., Eaae?ianee I. Iniaaiiinoe
iiaeaee?iaaiey ainnoaiiaeaiey neaiaeia iinea eo naeaoey n iiiiuueth
yeno?aiaeueiiai aiaeeca // Aeieeaaeu 7-e Iaae?aaeiiaeueiie eiioa?aioeee
“Ia?aaioea neaiaeia a nenoaiao aeaonoi?iiiae oaeaoiiiie nayce”.- Iineaa:
IIOI?YN, 1997. – C. 95-100.

Pogribny W., Drzycimski Z., Zalewski J., Kiedrowski P. Correction of
Reconstruction Errors after Signal Compression with the Use of Extremal
Analysis // Intern. Conf. “Proramable Devices and Systems (PDS`98)”,
with the assistance Polish Section IEEE, Gliwice, 1998. – P. 317-324.

Pogribny W., Drzycimski Z., Zalewski J., Kiedrowski P. Kompresja oraz
odtwarzanie sygna?ow w oparciu o analize ekstremalny i filtracje cyfrow?
// Krajowa Konferencja Radio-komunikacji Ruchomej KKRR’ 97. – Poznan,
1997. -S. 133-136.

Pogribny W., Drzycimski Z., Zalewski J. Algorytmy i realizacje
kompresji sygna?ow z zastosowaniem analizy ekstremalnej // VI
Miedzynarodowa Konferencja i Wystawa “Wojskowa konferencja
telekomunikacji i informatyki”.- Jab?onna , 1997. -S. 217-224.

Pogribny W., Drzycimski Z., Zalewski J., Kiedrowski P. Metody
rekonstrukcji sygna?u po kompresji danych na podstawie analizy
ekstremalnej // Krajowe Sympozjum Telekomunikacji’97. – t.B. – Instytut
Telekomunikacji Politechniki Warszawskiej, 1997. – S. 55-62.

Pogribny W., Zalewski J., Kiedrowski P. Adaptacyjny aproksymator do
odtwarzania sygna?ow po analizie ekstremalnej // Krajowe Sympozjum
Telekomunikacji’97. – t.B. – Instytut Telekomunikacji Politechniki
Warszawskiej, 1997. – S. 51-54.

Cae?ane? TH. Eiii?an?y ? a?aeoai?aiiy neaiae?a iiae ca aeiiiiiaith
aeno?aiaeueiiai aiae?co ? oeeo?iai? o?eueo?aoe??.- ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.13.06 – aaoiiaoeciaai? nenoaie oi?aae?iiy oa
i?ia?aneai? ?ioi?iaoe?ei? oaoiieia??.- Aea?aeaaiee iaoeiai-aeine?aeiee
?inoeooo ?ioi?iaoe?eii? ?io?ano?oeoo?e, Euea?a,1998.

Aeena?oaoe?y i?enay/aia ?ic?iaeaiith iaoiae?a eiii?an?? oa a?aeoai?aiiy
iiaieo neaiae?a c aeei?enoaiiyi aeno?aiaeueiiai aiae?co, a oaeiae
aoaeoeaieo niaoei?ioeani??a aeey ?aae?caoe?? oeeo iaoiae?a. ?icaeyiooi
iiaeae? iiaieo neaiae?a oa oiiiaeo ooi?a a oaeaeiioi?eaoe?eieo eaiaeao.
?ic?iaeaii caaaeueiee iaoiae aeno?aiaeueiiai aiae?co c aeei?enoaiiyi
aeaeueoa-iiaeoeyoe??. Cai?iiiiiaaii aea?? /anoioe aeene?aoecaoe?? oa
e?ie?a eaaiooaaiiy aeaeueoa-iiaeoeyoe?? noiniaii aei aeno?aiaeueiiai
aiae?co iiaieo neaiae?a. ?ic?iaeaii i?ea?iaeueiee iaoiae i?aeaeuaiiy
oi/iino? a?aeoai?aiiy neaiaeo a /ania?e oa /anoioi?e iaeanoyo.
?icaeyiooi iniaeeaino? eiii’thoa?iiai iiaeaethaaiiy aeno?aiaeueiiai
aiae?co oa a?aeoai?aiiy neaiae?a. Ia i?aenoaa? cai?iiiiiaaieo iaoiae?a
oa aeai?eoi?a ?ic?iaeaii i?ea?iaeuei? no?oeoo?e niaoei?ioeani??a aeey
eiii?an?? oa a?aeoai?aiiy neaiae?a c aeei?enoaiiyi aeno?aiaeueiiai
aiae?co.

Eeth/ia? neiaa: aeno?aiaeueiee aiae?c, aeaeueoa-iiaeoeyoe?y, eiii?an?y
aeaieo, oeeo?iaa o?eueo?aoe?y

Cae?anee TH. Eiii?anney e aini?iecaaaeaiea ?a/aauo neaiaeia n iiiiuueth
yeno?aiaeueiiai aiaeeca e oeeo?iaie oeeueo?aoeee.- ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.13.06 – aaoiiaoece?iaaiiua nenoaiu oi?aaeaiey e
i?ia?anneaiua eioi?iaoeeiiiua oaoiieiaee.– Ainoaea?noaaiiue
iao/ii-enneaaeiaaoaeueneee einoeooo eioi?iaoeeiiiie eio?ano?oeoo?u,
Eueaia,1998.

Aeenna?oaoeey iinayuaia ?ac?aaioea iaoiaeia eiii?annee e
aini?iecaaaeaiey ?a/aauo neaiaeia n eniieueciaaieai yeno?aiaeueiiai
aiaeeca, a oaeaea yooaeoeaiuo niaoei?ioeanni?ia aeey ?aaeecaoeee yoeo
iaoiaeia. ?anniio?aiu iiaeaee ?a/aauo neaiaeia e oiiiauo ooiia a
oaeaeiiioieeaoeeiiiuo eaiaeao. ?ac?aaioai iauee iaoiae yeno?aiaeueiiai
aiaeeca n eniieueciaaieai aeaeueoa-iiaeoeyoeee. I?aaeeiaeai auai?
/anoiou aeene?aoecaoeee e oaaia eaaioiaaiey aeaeueoa-iiaeoeyoeee
i?eia-ieoaeueii e yeno?aiaeueiiio aiaeeco ?a/aauo neaiaeia. ?ac?aaioai
i?eaeiaeueiue iaoiae iiauoaiey oi/iinoe aini?iecaaaeaiey neaiaea ai
a?aiaiiie e /anoioiie iaeanoyo. ?anniio?aiu iniaaiiinoe eiiiuethoa?iiai
iiaeaee?iaaiey yeno?a-iaeueiiai aiaeeca e aini?iecaaaeaiey neaiaea. Ia
iniiaaiee i?aaeeiaeaiiuo iaoiaeia e aeai?eoiia ?ac?aaioaiu i?eaeiaeueiua
no?oeoo?u niaoei?ioeanni?ia aeey eiii?annee e aini?iecaaaeaiey neaiaeia
n eniieueciaaieai yeno?aiaeueiiai aiaeeca.

Eeth/aaua neiaa: yeno?aiaeueiue aiaeec, aeaeueoa-iiaeoeyoeey, eiii?anney
aeaiiuo, oeeo?iaay oeeueo?aoeey

Zalewski J. Compression and reconstruction of acoustic signals using
extreme analysis and digital filtering.- Manuscript.

The thesis for a kandidate’s degree achievement in speciality 05.13.06
– automatic control system and progressive information technologies.-
State Institute of Information Infrastructure, Lviv, 1998.

The thesis is devoted to the methods of compression and reconstruction
of acoustic signals using extreme analysis as well as to the processors
implementing the algorithms worked out. The models of acoustic signals
in telecommunication channels and background noise in such channels are
considered. The general extreme analysis by means of delta modulation is
presented. The choices of frequency and quantization steps in delta
modulation, according to the extreme analysis of acoustic signals, are
proposed. Moreover, original methods of increasing the reconstruction
accuracy of signals, both in the time- and frequency-domains, are
elaborated. Some particularities of computer simulations of extreme
analysis and delta modulation are also considered. On the basis of
proposed methods and algorithms, a couple of original structures of
specialized processors for compression and reconstruction are
elaborated.

Key words: exstreme analysis, delta modulation, data compression,
digital filtering.

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