AeA?AEAAIEE EII?OAO CA’ssCEO OA ?IOI?IAOECAOe?? OE?A?IE
OE?A?INUeEA AeA?AEAAIA AEAAeAI?ss CA’ssCEO ?i. I.N. IIIIAA
Ia i?aaao ?oeiieno
IIAOeUeEEE IEAEN?E A?OAE?EIAE*
OAeE: 621. 395 :621. 391.25
I?AeAEUAIIss AOAEOEAIINO? IA?AAeA*?
OAEAOIIIEO NEAIAE?A II OeEO?IAEI O?AEOAI
IAOIAeII AEA??EIAI? AeENE?AOECAOe??
05.12.13. – ?aae?ioaoi?/i? i?eno?i? oa caniae oaeaeiioi?eaoe?e
AAOI?AOA?AO
aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy
eaiaeeaeaoa oaoi?/ieo iaoe
Iaeana – 1999
Aeena?oaoe??th ? ?oeiien.
?iaioa aeeiiaia a Oe?a?inuee?e aea?aeaai?e aeaaeai?? ca’yceo ?i. I.N.
Iiiiaa.
Iaoeiaee ea??aiee – eaiaeeaeao oaoi?/ieo iaoe, aeioeaio
Aaeaeai ?ai? Iiaeyiiae/
Oe?a?inueei? aea?aeaaii? aeaaeai?? ca’yceo
?i. I.N. Iiiiaa, aeioeaio eaoaae?e IO ? II.
Io?oe?ei? iiiiaioe – aeieoi? oaoi?/ieo iaoe, i?ioani?
?aai?oeueeee Aiaoie?e Ia/eneaaiae/
Oe?a?inueei? aea?aeaaii? aeaaeai?? ca’yceo
?i. I.N. Iiiiaa, i?ioani? eaoaae?e OAOe;
– eaiaeeaeao oaoi?/ieo iaoe,
Aaaeaeeaa Iaoei Iaanoae-Iaee
caa. eii?n?? AIO Iaeanueeiai oaoi?/iiai
eieaaeaeo.
I?ia?aeia onoaiiaa – Oa?e?anueeee aea?aeaaiee oaoi?/iee
oi?aa?neoao ?aae?iaeaeo?ii?ee.
Caoeno a?aeaoaeaoueny “ 14 ” aeiaoiy 1999 ?. i 10-00 aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee E41. 816.02 Oe?a?inueei?
aea?aeaaii? aeaaeai?? ca’yceo ?i. I.N. Iiiiaa (270021, Iaeana, aoe.
Eocia/ia, 1).
C aeena?oaoe??th iiaeia iciaeiieoeny a iaoeia?e a?ae?ioaoe? Oe?a?inueei?
aea?aeaaii? aeaaeai?? ca’yceo ?i. I.N. Iiiiaa (270021, Iaeana, aoe.
Eocia/ia, 1).
Aaoi?aoa?ao ?ic?neaiee “ 12 ” aa?aniy 1999 ?.
A/aiee nae?aoa?
niaoe?ae?ciaaii? a/aii? ?aaee E41. 816.02
eaiaeeaeao oaoi?/ieo iaoe, aeioeaio Oii?ia A.O.
CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE
Aeooaeuei?noue ?iaioe. Iaeia c aieiaieo i?iaeai oai??? oa oaoi?ee
oaeaeiioi?eaoe?? i?iaeaia aenieiaoaeoeaii? ia?aaea/? ? eiiooaoe??
aiaeiaiai? ?ioi?iaoe?? oeeo?iaeie caniaaie ca’yceo. Oey i?iaeaia
ii?iaeaeo? oe?eee eiiieaen aeooaeueieo caaea/, iio?aaoth/eo ??oaiiy a
eiaeiiio eiie?aoiiio aeiaaeeo. Oae, aaea ia ia?oiio aoai?
ia?aoai?aiiy aiaeiaiaeo ia?aeiieo neaiae?a o oeeo?iao oi?io oeyoii
ocyooy ?iioeuenieo a?aee?e?a ? eiaeoaaiiy, a?aeaoaa?oueny cia/ia
?icoe?aiiy nioae /anoio ii?aoeueiaoth/eo neaiae?a. O ?yae? aeiaaee?a
oaea ?noioia ?icoe?aiiy nioae neaiaeo ?aeiiaiaeo?oueny aeiiii?/ii
iaaei?aaaeaiei ? iaaea?aeiei ? aeieea? iaiao?aei?noue aeiaeaoeiaiai
oeeo?iaiai ii?aoethaaiiy neaiaeo oae, uia nioao ?aaeeeaeueii caoceoe,
caa??aath/e iaci?iieie (aai aac iii?oiiai iia??oaiiy) oae? ia?aiao?e, ye
i?e?iaei?noue, neeaaeiaa ?ica??eea?noue (aeey iiaieo neaiae?a) oa ?io?
iniiai? oa?aeoa?enoeee neaiae?a.
Aeey eiia?oe?eiiai canoinoaaiiy, ye?noue ia?aaea/? iiae iiaeiia aooe
aeinoaoiuei aenieith, iniaeeai aa?oi aeae?eeoe caaea/o io?eiaiiy
aeiionoeiiai cao/aiiy ia oaeaeeinoyo a?eueo iecueeeo, i?ae o
noaiaea?oi?e ?iioeuenii-eiaeia?e iiaeoeyoe?? (?EI). Oea iniaeeai
aaaeeeai aeey eiaeoaaeueieo i?eno?i?a, o aani?ia?aeiaeo
oaeaeiioi?eaoe?eieo nenoaiao, ui aeei?enoiaothoue iaiaaeai? ii
i?iionei?e ni?iiiaeiino? ?aae?i/anoioi? ? noiooieeia? eaiaee.
Oey aeena?oaoe?eia ?iaioa i?enay/aia aeine?aeaeaiith iaoiae?a
i?aeaeuaiiy aoaeoeaiino? ia?aaea/? iiaieo neaiae?a oeeo?iaeie o?aeoaie.
Iniiaia ?aeay iieyaa? a iia?aoeaiiio aiae?c? neaiaeo c iaoith i?aeai?o
o?eueee oeo eiai cia/aiue, ui i?noyoue iniiaio ?ioi?iaoe?th i?i
ia?aaeaiee neaiae ?, e??i oiai, a?athoue aecia/aeueio ?ieue o i?ioean?
ia?aaea/? ?ioi?iaoe??. I?ae aoaeoeai?noth ?icoi??oueny cieaeaiiy
oaeaeeino? oeeo?iaiai iioieo c? caa??aaiiyi i?eeiyoieo yeinoae iiaiiai
neaiaeo i?e iaaenieeo iaoa??aeueii-aeiiii?/ieo aeo?aoao.
??ciiiai?oi? aniaeoe eiaeoaaiiy iiaiiai neaiaeo aeineoue aeieeaaeii
ina?oeai? a oaeeo ?iaioao: Aieae A. Oeeo?iaua iaoiaeu ia?aaea/e ?a/e.
OEEY?, 1977, o. 65, ? 12; Iaeoie Eeiaeiia i?aaeneacaiea. Iaci?.
OEEY?, 1975, o. 63, ? 4; Noee ?. I?eioeeiu aeaeueoa-iiaeoeyoeee. I.:
Naycue, 1976; Aeaeaeaio. I. Oeeo?iaia eiaee?iaaiea ?a/aauo neaiaeia.
OEEY?, 1974, o. 62, ? 5; Ia?eae Aeae., A?ae A. Eeiaeiia
i?aaeneacaiea ?a/e. I.: Naycue, 1980. ?iaioa Aeaeaeaioa I.,
o ye?e ?icaeyaeathoueny iaoiaee eiaeoaaiiy iiae ca aeiiiiiaith i?yiiai
a?aeiiaeaiiy /aniai? oi?ie iiaiiai neaiaeo, yaey? niaith /oaeiaa
aaaaeaiiy aei oai??? ?iioeuenii-eiaeiai? iiaeoeyoe?? (?EI),
aeeoa?aioe?aeueii? ?iioeuenii-eiaeiai? iiaeoeyoe?? (Ae?EI) ?
aaeaioeaiiai eaaiooaaiiy oaeeo neaiae?a. O ?iaio? Iaeoiea iieno?oueny
i?eioeei e?i?eiiai caaaa/aiiy a?aeiinii aei aiae?co /aniaeo ?yae?a, ui
eaaeaoue a iniia? nenoai eiaeoaaiiy iiae c aeei?enoaiiyi e?i?eiiai
caaaa/aiiy. Caaaeueiee iaeyae iaoiae?a oeeo?iaiai eiaeoaaiiy iiaieo
neaiae?a, o oiio /ene? iaoiae?a eiaeoaaiiy ca aeiiiiiaith i?yii?
ai?ieneiaoe?? /aniai? oi?ie neaiaeo ? iaoiaeo e?i?eiiai caaaa/aiiy,
aeaiee o ?iaio? Aieaea A., o eio??e oe? ieoaiiy ?icaeyaeathoueny c
iiaeyaeo noai?aiiy oeeo?iaeo ia?aae ca’yceo. A?eueo iiaiee iaeyae ?ia?o
c eiaeoaaiiyi iiae iiaeaiee o ?iaio? Oeaiaaaia, ui ina?oeth?
??ciiiai?oi? ieoaiiy i?iaeooaaiiy eiaea??a iiaiiai neaiaeo. C?icoi?ei,
ia?oueny ? aaaaoi ?ioeo ioae?eaoe?e ia oeth oaio, cie?aia, a naia
iiiia?ao?? Noeea ?., Aaeeaie Aeae. [Aaeeaie Aeae. Oeeo?iaay oaeaoiiey:
Ia?. n aiae. – I.: ?aaeei e naycue, 1986], Aaiaaeeeoiaa I. Ae.
[Aeaeueoa-iiaeoeyoeey. Oai?ey e i?eiaiaiea // Aaiaaeeeoia I. Ae.,
AEaiaaneee TH. I., Ia?eia A. A., Yeaeon A. N. I.: Naycue,
1976] oiui. O oeeo ? ?yae? ?ioeo ?iaioao aeieeaaeii aiae?cothoueny
?acoeueoaoe aeine?aeaeaiue a iaeano? eiaeoaaiiy iiae.
Iaeia c iaea?eueo aeooaeueieo caaea/ nueiaiaei?oiueiai aeiy noai?aiiy
eiaea??a, i?ecia/aieo aeey ?iaioe c ?ioi?iaoe?eieie oaeaeeinoyie ia aeua
16 ea?o/c. ?ioa?an aei oeueiai ae?aiaciio oaeaeeinoae iaoiiaeaiee oith
ianoaaeiith, ui a noiooieeiaeo ? ?aae?i/anoioieo nenoaiao iaiaaeaia
caaaeueia oe?eia eaiaeo, a oea ciooo? cieaeoaaoe oaeaee?noue a?oiaeo
iioie?a, ye? a?aeaiaeyoue aeey eiaeiiai iiaiiai neaiaeo. A aeaiee /an
i?iiiiothoueny ??ciiiai?oi? no/ani? iaoiaee eiaeoaaiiy iiaiiai neaiaeo,
ui ?icaeyaeathoueny a oaeeo ?iaioao: M. Mouly, M-B. Pautet. The GSM
System for Mobile Communications. 1992. p. 701; A. Mehrotra. Cellular
Radio Performance Engineering. Artech House. Boston-London. 1994;
P.Vary. GSM Speech Codec. Conference Proceedings DCRC, 12-14 October.
1988. Hagen FRG; C. Sonthcott. Speech Proceeding in the Pan – European
Cellular Mobile Telephone System. IEEE Colloquium: “Digitized Speech
Communication via Mobile Radio”. London. 19 December, 1988. p.p.
5/1-5/5; P.Vary, R. Hofman. Sprachcodec fur das Europaische
Funkfernsprechnetz. Frequenz. 42, 1988. s.s. 85-92.; Ae. Ai?naii
“Eiaee?iaaiea ?a/e a oeeo?iaie oaeaoiiee”, Naoe e nenoaiu nayce, ? 11,
1996.
Ca’ycie ?iaioe c iaoeiaeie ieaiaie, i?ia?aiaie, oaiaie.
Aeena?oaoe?eia ?iaioa aeeiioaaeany a ?aieao iaoeiai-aeine?aeii? ?iaioe
eaoaae?e ia/enethaaeueii? oaoi?ee ? i?e?ii?ioeani??a Oe?a?inueei?
aea?aeaaii? aeaaeai?? ca’yceo ?i. I. N. Iiiiaa.
Iaoa ?iaioe ? caaea/? aeine?aeaeaiiy.
Iaoith aeena?oaoe?eii? ?iaioe ? ?icaeoie ? aeaoae?caoe?y i???ioiaaiee ia
eiii’thoa?iee aenia?eiaio iaoiaeee ?ic?aooieo i?aeaeuaiiy aoaeoeaiino?
ia?aaea/? oaeaoiiieo neaiae?a oeeo?iaeie o?aeoaie.
Aeey aeinyaiaiiy iinoaaeaii? iaoe a aeena?oaoe?ei?e ?iaio? ?ica’ycaii
oae? caaea/?:
1. Cai?iiiiiaaii can?a oi?ioaaiiy eaiaeueiiai neaiaeo oeyoii ocyooy
a?aee?e?a o eieaeueieo aeno?aioiao ia?aaeaaaii? ooieoe?? /ano. Oaeee
eaiaeueiee neaiae o ?iaio? iacaaiee aeno?aii-aeene?aoece?iaaiei aai
AAe-neaiaeii.
2. Aeiaaaeaiiy iiaeeeaino? a?aeiiaeaiiy ia?aeiiiai neaiaeo ii a?aee?eai
o eieaeueieo aeno?aioiao ooieoe??.
3. ?ic?iaea eiii’thoa?ii? iiaeae? aeey a?aeiiaeaiiy
aeno?aii-aeene?aoece?iaaiiai neaiaeo (AAe-neaiae).
4. ?ic?iaea aia?aoieo cania?a aeey ia?aaea/? ? i?eeiaiiy AAe-neaiaeo.
5. Ioe?iea ae?iaeaeaiiy eieaeueieo aeno?aioi?a.
6. Aecia/aiiy na?aaeiuei? oaeaeeino? oeeo?iaiai iioieo AAe-neaiaeo.
7. Oaoi?/ia ?aae?caoe?y aoaeoeaieo iaoiae?a ia?aoai?aiiy ia?aeiiiai
neaiaeo a oeeo?iao oi?io: eiaeiaaia aeaeueoa-iiaeoeyoe?y,
aeueoa?iaoeai? iaoiaee aeaeueoa-iiaeoeyoe??.
Iniiai? iieiaeaiiy, aeianai? ia caoeno.
O ?iaio? io?eiai? ?acoeueoaoe, ui aeicaieythoue noi?ioethaaoe oae?
caoeuath/? iieiaeaiiy:
1. Aia?oa aeey i?aeaeuaiiy aoaeoeaiino? ia?aaea/? oaeaoiiieo neaiae?a
oeeo?iaeie o?aeoaie, cai?iiiiiaaiee iaoiae aea??eiai? aeene?aoecaoe??.
2. Aecia/aii ?ic?aooieia? oi?ioee iino?eii? neeaaeiai?, aiie?ooaee,
/anoioe, oace eineioniiai (neioniiai) a?ae??cea AAe-neaiaeo.
3. Aeine?aeaeaii iiaeeea?noue a?aeiiaeaiiy ia?aeiiiai neaiaeo ii
aeno?aii-aeene?aoece?iaaiiio.
Iaoeiaa iiaecia ?iaioe.
O aeena?oaoe?ei?e ?iaio? ae?noaii oae? iia? ?acoeueoaoe:
1. Cai?iiiiiaaii can?a oi?ioaaiiy eaiaeueiiai neaiaeo oeyoii ocyooy
a?aee?e?a o eieaeueieo aeno?aioiao ia?aaeaaaii? ooieoe?? /ano.
2. Aia?oa iaa?oioiaaia iiaeeea?noue a?aeiiaeaiiy ia?aeiiiai neaiaeo ii
a?aee?eai o eieaeueieo aeno?aioiao ooieoe??.
3. ?ic?iaeaii eiii’thoa?io iiaeaeue a?aeiiaeaiiy AAe-neaiaeo.
4. ?ic?aoiaaii ia?aiao?e eineioniiai (neioniiai) a?ae??cea, yeei
i?iiiio?oueny c’?aeioaaoe oi/ee non?aei?o eieaeueieo aeno?aioi?a aeey
a?aeiiaeaiiy AAe-neaiaeo.
5. I?iaaaeaii eiii’thoa?iee aiae?c yaeua ae?iaeaeaiiy eieaeueieo
aeno?aioi?a ooieoe?? ? cai?iiiiiaaiee ?ic?aooiie
iaeneiaeueiiai cia/aiiy ia?aoeiae noiooi?o neaiae?a.
6. ?ic?iaeaii oaoi?/io ?aae?caoe?th aoaeoeaieo iaoiae?a ia?aoai?aiiy
ia?aeiieo neaiae?a o oeeo?iao oi?io: eiaeiaaia aeaeueoa-iiaeoeyoe?y,
aeueoa?iaoeai? iaoiaee aeaeueoa-iiaeoeyoe??, i?eeia/ ? ia?aaeaaa/
AAe-neaiaeo.
Oai?aoe/ia oe?ii?noue aeena?oaoe?? iieyaa? o iiaeaeueoiio ?icaeoeo
iaoiae?a ??oaiiy caaea/? i?aeaeuaiiy aoaeoeaiino? ia?aaea/? oaeaoiiieo
neaiae?a oeeo?iaeie o?aeoaie.
I?aeoe/ia oe?ii?noue aeena?oaoe??. ?acoeueoaoe, io?eiai? a
aeena?oaoe?ei?e ?iaio?, iiaeooue aooe aeei?enoai? i?e noai?aii?
aia?aoo?e, i?ecia/aii? aeey ia?aaea/? iiaieo neaiae?a aaci?iaiaeiaeie
oa noiooieeiaeie eaiaeaie ca’yceo.
Iniaenoee aianie aeena?oaioa a ?ic?iaeo iaoeiaeo ?acoeueoao?a.
Aeena?oaoe?y ? naiino?eiith iaoeiaith i?aoeath. O noaooyo, iaienaieo
?acii ?c iaoeiaei ea??aieeii aeena?oaioa, eaiaeeaeaoii oaoi?/ieo iaoe
aeioeaioii Aaeaeaiii ?. I., inoaiiueiio iaeaaeeoue iinoaiiaea caaea/ oa
?aeay iaoiaeo ?o ??oaiiy, aaoi?o iaeaaeaoue eiie?aoi? ?ic?iaee,
eiii’thoa?iee ?ic?aooiie.
Ai?iaaoe?y ?iaioe. Iniiai? ?acoeueoaoe ?iaioe aoee iiaeai? ia
iaoeiai-oaoi?/ieo eiioa?aioe?yo i?ioani?nueei-aeeeaaeaoeueeiai neeaaeo ?
iaoeiaeo ni?a?ia?oiee?a aeaaeai?? ca’yceo ?i. I. N. Iiiiaa o 1996
… 1999 ?.?.
Ioae?eaoe??. C oaie aeena?oaoe?eii? ?iaioe iioae?eiaaii i’youe
iaoeiaeo i?aoeue.
No?oeoo?a e ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny c anooio, /ioe?ueio
/anoei ? aeniiae?a, caaaeueiiai nieneo e?oa?aoo?e, ui aeeth/a? 96
iaeiaioaaiiy. Aeena?oaoe?y i?noeoue 140 noi??iee, aeeth/ath/e 89
?enoie?a ? 7 oaaeeoeue.
CI?NO ?IAIOE
O anooi? aeiaiaeeoueny aeooaeuei?noue oaie aeena?oaoe?eii? ?iaioe,
noaaeoueny caaea/a i?i iaiao?aei?noue aeine?aeaeaiiy iaoiae?a eiaeoaaiiy
aeey cieaeaiiy oaeaeeino? oeeo?iaiai iioieo c? caa??aaiiyi
i?eeiyoieo yeinoae iiaiiai neaiaeo, i?eaiaeeoueny noenea iia?aeiieaiiy
i?i iniiai? ?icae?ee aeena?oaoe?eii? ?iaioe.
O ia?oiio ?icae?e? ?icaeyaeathoueny iaaeeeoeia? aeanoeaino? iiaieo
neaiae?a: ia??aiii??iee aiie?ooaeiee ?iciiae?e; ei?aeyoe?y i?ae
aeene?aoaie; ei?aeyoe?y, iia’ycaia c ia??iaee/i?noth a
neaiae?; ei?aeyoe?y i?ae ia??iaeaie iniiaiiai oiio; iaaei??i?noue,
iia’ycaia c iaaeoeai?noth iiae (iaoce); ia??aiii??iee ona?aaeiaiee
niaeo?; ei?ioei/aniee niaeo? caoeo.
I?e ?icaeyae? iaaeeeoeiaeo aeanoeainoae iiaieo neaiae?a
i?aee?aneth?oueny aenieee eiao?oe??io ei?aeyoe?? ii?yaeeo 0.85, yeee
aeaco? ia oa, ui i?e aoaeue-ye?e ni?ia? ?noioii ciaioeoe oaeaee?noue
ia?aaea/? iaiao?aeii aeei?enoiaoaaoe ei?aeyoe?th i?ae non?aei?ie
aeene?aoaie.
O ?acoeueoao? aiae?co ?nioth/eo o aeaiee /an ??ciiiai?oieo cania?a
ia?aoai?aiiy ia?aeiiiai neaiaeo a oeeo?iao oi?io aoee aeae?eai? aea?
a?oie iaoiae?a oi?ioaaiiy eaiaeueiiai neaiaeo:
1. I?yi? iaoiaee (?EI, Ae?EI, AeI ? o.i.), ui aieeaathoue ia nai?
caaaeuei? ia?aiao?e ia?aeiiiai neaiaeo (oae? ye aeeiai?/iee ae?aiacii,
i?eoaeoi?), ia oi?eath/enue aioo??oiuei? i?e?iaee ?oi?o o?ce/ieo
aeanoeainoae.
2. Iaoiaee iiaeaethaaiiy iiaieo neaiae?a ia i?eeii? (aieiaea?e) ii
aeayeei iniiaiei e?euee?niei iieacieeai, ia?aaeaaaiei /a?ac eaiae
ca’yceo.
Iaaeie?e ia?oi? a?oie iaoiae?a iieyaa? a oiio, ui aeey i?aeaeuaiiy
aoaeoeaiino? oi?eathoueny nai? iacia/i? oa?aeoa?enoeee neaiae?a,
caeeoath/e ye ? aein? aeey ia?aaea/? a?aie/io nioao ? iaeaea aanue
aeeiai?/iee ae?aiacii iioi/ieo cia/aiue ia?aaeaaaieo ooieoe?e /ano.
Ui noino?oueny ae?oai? a?oie, oi a?aeiiaeaiiy neaiae?a iaoiaeaie
iiaeaethaaiiy i?e caa??aaii? i?eeiyoieo yeinoae aai iio?aao? aeoaea
aeniei? neeaaeiino? aeai?eoi?a a?aeiiaeaiiy, ui aaaea aei
iaaei?aaaeaiiai oneeaaeiaiiy aia?aoii-i?ia?aiieo cania?a ? ca?eueoaiiy
cao?eiee neaiaeo, aai a i?inoeo aeai?eoiao a?aeiiaethaaia iiaa ia ia?
i?e?iaeiino? ? ?ici?ciaaaiino? cao/aiiy. E??i oiai, iaoiaeaie ae?oai?
a?oie iaiiaeeeai i?aai?coaaoe ia?aaea/o iaoaeaoiiieo iia?aeiieaiue.
A ae?oaiio ?icae?e? ca i?aenoieaie aiae?co ?acoeueoao?a ia?oiai ?icae?eo
i?iiiio?oueny o?aoy a?oia iaoiae?a i?aeaeuaiiy aoaeoeaiino?, ui caeia?
i?ii?aeia iieiaeaiiy na?aae ?icaeyiooeo aeua. Oey a?oia i?eionea?
aaccoieiii aiae?coaaoe iioi/i? noaie ia?aeiiiai neaiaeo ? a?aeae?aoe c
oeeo noai?a aeey oi?ioaaiiy oeeo?iaiai iioieo o?eueee o?, ui ? ?noioieie
aeey iiaeaeueoiai ii?aoethaaiiy e o oie aea /an ia i?noyoue iaaeeeoeiaeo
aeanoeainoae ia?aaeaieo ooieoe?e /ano.
A?cueiaii ye i?eeeaae ia?aeiiee neioni?aeaeueiee neaiae.
Aeene?aoecoth/e eiai ii Iaeeaenoo-Eioaeueieeiao, ie ia?ii anth
?ioi?iaoe?th i?i oeth ooieoe?th /ano; ii oeei aeene?aoai, aeae?,
iiaeeeaa iiaia a?aeiiaeaiiy oeueiai neaiaeo iecueei/anoioiei o?eueo?ii.
O eeane/ii? ?EI ia??iae aeene?aoecaoe?? aeae?a?oueny aeoiaey/e c
iaeaeui? /anoioe ia?aaeaaaiiai neaiaeo, i?e oeueiio i?ye ia
a?aoiao?oueny iioi/ia cia/aiiy oeueiai ia?aiao?a, iaa?oue yeui
ia?aaeaiee neaiae a?aenooi?e acaaae?. C ?ioiai aieo, aiae?ciaai?
aeene?aoe iiaeia i?ea’ycaoe aei aeuacaaaeaiiai neaiaeo, ? a?aoe ?o o
iaea?eueo oa?aeoa?ieo eiai oi/eao.
Aeey aecia/aiiy cacia/aieo oa?aeoa?ieo oi/ie o aeena?oaoe?ei?e ?iaio?
aeiaaaeaia oai?aia 1.
Oai?aia 1.
Ia a?ae??ceo i?ae aeaiia non?aei?ie eieaeueieie aeno?aioiaie aoaeue-ye?
aeaa ? a?eueo a?aee?ee aeaaeei? ooieoe?? ei?ae??iaai?, a a?aee?ee,
acyo? a aeaio ? a?eueo non?aei?o eieaeueieo aeno?aioiao, ooieoe?? ia
ei?ae??iaai?.
Oiio, ieney/e eia?/ii, aoaeaii aaaaeaoe, ui a?aenooi?noue ei?aeyoe??
i?ae a?aee?eaie i?eionea? cia/ia cieaeaiiy iaaei??iino? a ia?aeiiiio
neaiae?, a iayai?noue ei?aeyoe?? i?eionea? i?enooi?noue iaaeeeoeiaeo
aeanoeainoae.
Oaeei /eiii, ye iaea?eueo oa?aeoa?i? oi/ee ia?aeiiiai neaiaeo iiaeia
cai?iiiioaaoe an? eiai eieaeuei? aeno?aioie (an? oi/ee, aea aiae?ciaaia
ooieoe?y /ano i?eeia? iaeneioie ? i?i?ioie) oiaoi o? oi/ee ia?aaeaaaii?
ooieoe??, iaaeeeoeia? aeanoeaino? i?ae yeeie i?i?iaeuei?. sseui ?iaeoe
aeene?aoecaoe?th aeey caaaeaiiai aeua neioni?aeaeueiiai neaiaeo, oi
a?aeiia?aeii aei oe??? i?iiiceoe??, oiaoi aa?o/e a?aee?ee a eieaeueieo
aeno?aioiao, ie aoaeaii oi/ii aeiaea?aeoaaoeny oiiae oai?aie a?aee?e?a ?
oei naiei iaoe iiaeeea?noue caiaeii a?aeiiaeoe aeo?aeiee neaiae ?c
aeene?aoeciaaiiai.
Neaiae, ui neeaaea?oueny c a?aee?e?a ocyoeo o eieaeueieo aeno?aioiao
ia?aeiiiai, aoaeaii iaceaaoe aeno?aii-aeene?aoece?iaaiee aai
AAe-neaiaeii.
Aeey neaiae?a, ui yaeythoue niaith ?aaeuei? ooieoe?? /ano,
neooaoe?y cia/ii oneeaaeith?oueny, ? ieoaiiy a?aeiiaeaiiy
aeene?aoece?iaaiiai a eieaeueieo aeno?aioiao ia?aeiiiai neaiaeo ?
aeoaea i?iaeaiaoe/iei. I?ioa ana ae iieaaeaii, ui iiai? e aoae?ineaiaee
iiaeia c aeinoaoiueith oi/i?noth a?aeiiaeoe c
aeno?aii-aeene?aoece?iaaieo. Aeey oeueiai aoaeaii aaaaeaoe, ui iiai? e
aoae?ineaiaee ? o?eaiiiiao?e/iie iie?iiiaie ii?yaeeo ia aeua n (aea n –
iiia? inoaiiuei? aa?iii?ee e o ?aaeueieo neooaoe?yo ia ia?aaeuo?
13…15).
Oaeei /eiii, ye iniiaio iiaeaeue iiaieo ? aoae?ineaiae?a canoino?ii
o?eaiiiiao?e/i? iie?iiie (on?/ai? ?yaee Oo?’?), aeine?aeaeaiiy yeeo
aeayeith i??ith a?aeia?aaeaii a [I. E. Aa?e. O?eaiiiiao?e/aneea ?yaeu.
Ecaeaoaeuenoai “Iaoea” I., 1956.].
O?eaiiiiao?e/iei iie?iiiii iaceaa?oueny ae?ac aeaeo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, (1)
i?e/iio, yeui |an| + |bn| > 0, oi /enei n iaceaa?oueny ii?yaeeii
iie?iiio. sse i/aaeaeii c (1), o?eaiiiiao?e/iee iie?iii ? e?ioeaaith
e?i?eiith eiia?iaoe??th neion?a ? eineion?a e?aoieo aeoa. Aeiaooie aeaio
o?eaiiiiao?e/ieo iie?iii?a ? o?eaiiiiao?e/iee iie?iii, ioaea [T(x)]m
? oaeiae o?eaiiiiao?e/iee iie?iii i?e aoaeue-yeiio oe?eiio m.
Aoaeue-yeee o?eaiiiiao?e/iee iie?iii ia? iniiaiee ia??iae (ia?oo
aa?iii?eo), ia ?ioa?aae? eio?i? [0, 2] ?icoaoiaothoueny an? eiai
eieaeuei? aeno?aioie, ui aiaeia?/ii iiaoi?ththoueny a oaeiio iniiaiiio
ia??iae?. E??i oiai, o?eaiiiiao?e/iee iie?iii ii?yaeeo n ia iiaea iaoe
a?eueo 2n ae?enieo ei?ai?a ia ?ioa?aae? [0, 2], yeui iaa?oue eiaeiee ?c
ieo aaaaeaoe no?eueee ?acii, ne?eueee iaeeieoeue o eiai e?aoiino? [I. E.
Aa?e. O?eaiiiiao?e/aneea ?yaeu. Ecaeaoaeuenoai “Iaoea” I., 1956.].
Aeey ae??oaiiy i?iaeaie a?aeiiaeaiiy ia?aeiieo neaiae?a ?c AAe
ia?aaeaaaieo eaiaeaie, iiaeia ni?iaoaaoe nei?enoaoeny oai?aiith
Aaea?oo?anna, yea aeieaco?, ui aoaeue-yeo aacoieiio ia??iaee/io
ooieoe?th ia an?e aaciaaei?e a?n? iiaeia c yeith caaaiaeii iaia?aae
caaeaiith oi/i?noth ai?ieneioaaoe o?eaiiiiao?e/iei iie?iiiii. O iao?e
neooaoe?? iio??aii ??oaiiy iaa?iaii? caaea/?: iio??aii ii AAe-neaiaeo
a?aeiiaethaaoe o?eaiiiiao?e/iee iie?iii. ?ioeie neiaaie, iath/e
cia/aiiy a?aee?e?a o oi/eao eieaeueieo aeno?aioi?a ? a?aenoai? i?ae
oeeie a?aee?eaie, oi?ioaaoe aiaeiaiaee neaiae, ui ii nai?e o?ce/i?e
i?e?iae? ? o?eaiiiiao?e/iei iie?iiiii ? c caaeaiith oi/i?noth
a?aeia?aaea? ia?aeiiee neaiae aei eiai ia?aoai?aiiy iaoiaeii
aeno?aii-aeene?aoecaoe??.
Aeey ??oaiiy oe??? iaa?iaii? caaea/?, ? oei naiei, aeiaaaeaiiy
iiaeeeaino? a?aeiiaethaaoe ia?aeiiee neaiae ii a?aee?eai o eieaeueieo
aeno?aioiao o aeena?oaoe?ei?e ?iaio? aoea aeiaaaeaia oai?aia 2.
Oai?aia 2.
O?eaiiiiao?e/iee iie?iii T(x) ii?yaeeo ia aeua n ia aeia?eueii
aea?aiiio ?ioa?aae? , iaiaaeaiiio aeaiia non?aei?ie eieaeueieie
aeno?aioiaie, oe?eeii cia?aaeo?oueny neioniei (eineioniui) a?ae??ceii
oae, ui ia ?ioa?aae?
T (x) = d + a sin(b x + c ),
T (x) = d + a cos(b x + c ),
aea d , a , b , c ae?eni? eiinoaioe, iaoiiaeai? ia?aiao?aie
?ioa?aaeo . I?e/iio oe? ia?aiao?e – aeaa /enea ? ;
a?aenoaiue i?ae eieaeueieie aeno?aioiaie ii in? aanoeen, a ii in?
i?aeeiao.
Neioniee (eineioniee) a?ae??cie e?i?y ooieoe?? y = asin(bx + c) (y
= acos(bx + c)), ai?ieneioth/ee iie?iii ia ?ioa?aae? i?ae non?aei?ie
eieaeueieie aeno?aioiaie. Eooiaee ?ioa?aae ii in? aanoeen bx + c = .
E??i oiai, aeiaaaeaiiy oai?aie 2 aoei aeeiiaii iaoiaeii iaoaiaoe/ii?
?iaeoeoe?? ia ia?niiaeueiiio eiii’thoa?? ca aeiiiiiaith i?ia?aiiiai
iaoaiaoe/iiai na?aaeiaeua MathCad. Iaoiae iaoaiaoe/ii? ?iaeoeoe??
a?oioo?oueny ia oae?e aen?ii?: yeui aeayea oaa?aeaeaiiy ni?aaaaeeeai
aeey n = 1 ? yeui c aeiiouaiiy ni?aaaaeeeaino? eiai aeey yeiai-iaaoaeue
aeia?eueiiai iaoo?aeueiiai n = k aeieeaa? ni?aaaaeeea?noue eiai ? aeey n
= k + 1, oi oea oaa?aeaeaiiy ni?aaaaeeeaa aeey anyeiai iaoo?aeueiiai n.
Aeey o?eaiiiiao?e/iiai iie?iiia 1-ai ii?yaeeo naiee a?ae??cie iie?iiio
i?ae aeaiia non?aei?ie eieaeueieie aeno?aioiaie ca?aa?oueny ?c neioniei
a?ae??ceii. Oiio ii/iaii aeiaaaeaiiy ?c aeia?eueiiai o?eaiiiiao?e/iiai
iie?iiio 2-ai ii?yaeeo.
1. Iaoae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 (2)
aeia?eueiee iie?iii 2-ai ii?yaeeo;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 (3)
eineioniee a?ae??cie ?c aeno?aioiaie a oi/eao (0, 1.825).
A?ao?ee ooieoe?e (2) ? (3) ia ae?eyioe? i?ae non?aei?ie eieaeueieie
aeno?aioiaie a caaaeueiiio aeae? iieacai? ia ?en.1, a o?eueee i?ae
aeno?aioiaie a oi/eao (0, 1.825) ia ?en.2.
?en.1
?en.2
Aeey aecia/aiiy yeino? ai?ieneiaoe?? ?ic?aoo?ii na?aaeiueieaaae?aoe/ia
a?aeoeeaiiy (NEA) ooieoe?e (2) ? (3) ia ?ioa?aae? i?ae eieaeueieie
aeno?aioiaie a oi/eao a?aoiaioo (0, 1. 825) ca oi?ioeith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, (4)
aea N – e?euee?noue ?ic?aooieiaeo aea??ie.
N = 1825; NEA = 8. 61210-4.
Oaeei /eiii, aeey iie?iiio 2-ai ii?yaeeo ??ai?noue ?c oi/i?noth aei
NEA z(x) = y(x) ia ?ioa?aae? i?ae aeaiia eieaeueieie aeno?aioiaie
aeeiio?oueny.
Eiii’thoa?iee aiae?c aaeeeiai /enea o?eaiiiiao?e/ieo iie?iii?a iieaco?,
ui ia caaaeaee oi?ia e?eaie i?ae non?aei?ie eieaeueieie aeno?aioiaie
a?aeiia?aea? neioniiio aai eineioniiio a?ae??ceo. Oea a?aeaoaa?oueny a
oeo aeiaaeeao, eiee aanoeene non?aeiueiai eieaeueiiai iaeneioio ?
a?aeiia?aeii eieaeueiiai i?i?ioio caeeaeathoueny iano?eueee, ui
cacia/ai? non?aei? iaeneioi ? i?i?ioi aaaeei ?icae?eeoe ye naiino?ei?.
Oi/a a oeeo a?ae??ceao o?eaiiiiao?e/ia ooieoe?y iie?iiia caa??aa?
aacia?a?ai?noue ? ?io? iaoaiaoe/i? ao?eaooe, ciaeoe oi/ee eieaeueieo
aeno?aioi?a i?e oae?e neooaoe?? ia ?aaeueii.
?icaeeaeiiny iie?iii /aoaa?oiai ii?yaeeo oaeiai aeaeo:
z(x) = -0.2 + 0.5 cos(x) + 0.5 sin(x) – 0.3 cos(2x) + 0.3 sin(2x) + 0.5
cos(3x) + 0.5 sin(3x) – 0.5 cos(4x) – – 0.9 sin(4x), (5)
a?ao?e yeiai iiaeaiee ia ?en.3.
sse i/aaeaeii c ?en.3 iie?iii (5) ia? 8 eieaeueieo aeno?aioi?a ia
iniiaiiio ia??iae? [1, 6.2], ui a?aeiia?aea? iaeiiio c aeanoeainoae
o?eaiiiiao?e/ieo iie?iii?a [I. E. Aa?e. O?eaiiiiao?e/aneea ?yaeu.
Ecaeaoaeuenoai “Iaoea” I., 1956.], oiaoi aoaeue-yeee o?eaiiiiao?e/iee
iie?iii ia? iniiaiee ia??iae (ia?oo aa?iii?eo) ia ?ioa?aae?, aea
?icoaoiaothoueny an? eiai aeno?aioie, ui aiaeia?/ii iiaoi?ththoueny a
oaeiio iniiaiiio ia??iae?.
?en.3
Ci?ieii eiao?oe??ioe a neionieo neeaaeiaeo sin(3x) ? sin(4x) oae, ui a
?acoeueoao? iaea?aeeii o?eaiiiiao?e/iee iie?iii oaeiai aeaeo:
z(x) = -0.2 + 0.5 cos(x) + 0.5 sin(x) – 0.3 cos(2x) + 0.3 sin(2x) + 0.5
cos(3x) + 0.7 sin(3x) – 0.5 cos(4x) –
– 0.5sin(4x) (6)
(aeea. ?en.4).
?en.4
sse aeaeii c ?en. 4, ia a?ae??ceo [5, 7] aaaeei aeae?eeoe oi/ee
eieaeueiiai iaeneioio ? i?i?ioio, oiio ui oi?ia e?eai? ieaaii
ci?ith?oueny ia aeai?e ae?eyioe?, ?, ioaea, iie?iii (6) aoaea iaoe
iaioa /enei aeno?aioi?a, /ei iie?iii (5), oi/a iaeaeaa iie?iiie iathoue
iaeiaeiaee ii?yaeie. Iacaaii oeth neooaoe?th a iiaiaeaeaii?
o?eaiiiiao?e/iiai iie?iiia – yaeuai ae?iaeaeaiiy eieaeueieo aeno?aioi?a.
Ae?iaeaeaiiy eieaeueieo aeno?aioi?a ci?ith? oi?io e?eai? oae, ui
ai?ieneiaoe?th inoaiiuei? neioniei (eineioniei) a?ae??ceii aeeiioaaoe
aaaeei. I?e oeueiio yeui ona ae ai?ieneiaoe?th aeeiioaaoe, ?aii?oth/e
oi/ee ae?iaeaeaiiy, iiaeooue ?noioii c?inoe iiieeee ai?ieneiaoe??
ia?aoeiaee, noiooiueiio neaiaeo. Oe? ia?aoeiaee ii?iaeaeothoueny
neaiaeii, iathoue aaeeoeaiee oa?aeoa?, ? ?ic?aooiie iaeneiaeueiiai
cia/aiiy oeeo ia?aoeiae aeeiia?ii oaeei /eiii. Aeey oeueiai i?eionoeii
(aeea. ?en.5), ui iaea?eueoa iioeaea ai?ieneiaoe?? neioniei
(eineioniei) a?ae??ceii x(t) = 2sin(t) aeieea? a oiio aeiaaeeo, eiee
eieaeueiee iaeneioi ? i?i?ioi ceeaathoueny a iaeio oi/eo – o oi/eo
ia?aaeio, cia/aiiy iio?aeii? o eio?i? aei??aith? ioeth. Oi?io
ai?ieneioth/i? e?eai? iiaeia cia?aceoe ooieoe?yie ia ?ioa?aae? a?ae
0 aei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 –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, a ia
?ioa?aae? a?ae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 aei 0 – y(t) =
cos(2t) – 1.
?en.5
Oiae? eiii’thoa?iee ?ic?aooiie na?aaeiueieaaae?aoe/iiai a?aeoeeaiiy
(oiaoi ??aiy noiooi?o ia?aoeiae ii iiooaeiino?) neeaaea?
t = 0, 0.001..1.571;
N = 1571; CEB = 0.105;
t = -1.571, -1.572..0;
N = 1571; CEB = 0.105.
sse aa/eii, cia/aiiy noiooi?o ia?aoeiae ia ia?aaeuo? 11 %, ui
aeae?eueea ieae/a, /ei o nenoaiao ?c aeaeueoa-iiaeoeyoe??th i?e
aeieeiaii? ia?aaaioaaeaiue ii e?ooeci?.
Ia?aiao?e neionieo (eineionieo) a?ae??ce?a, yeeie ia?aaeaa/a?oueny
c’?aeioaaoe oi/ee non?aei?o eieaeueieo aeno?aioi?a (aa?oeie a?aee?e?a
neaiaeo iinooiathoue c eaiaeo ca’yceo) aeey a?aeiiaeaiiy AAe-neaiaeo,
aecia/eii oaeei iaoiaeii.
Aeey c?inoath/iai a?ae??cea (ia?oee a?aee?e iaioa ae?oaiai a
iine?aeiaiino? ?iioeuen?a AAe-neaiaeo),
y(t) = d + a sin(b t + c ), (7)
a aeey caoaath/iai
y(t) = d + a cos(b t + c ), (8)
aea d iino?eia neeaaeiaa; a aiie?ooaea a?ae??cea;
b eiao?oe??io i?e iioi/i?e /anoio?; c ii/aoeiaa oaca.
Iicia/ei ia?o non?aei?o eieaeueieo aeno?aioi?a, i?ae eio?eie
iaiao?aeii anoaaeoe neioniee (eineioniee) a?ae??cie
aa aiie?ooaea a?eueoiai eieaeueiiai aeno?aioio a ia?? non?aei?o;
ai aiie?ooaea iaioiai eieaeueiiai aeno?aioio a ia?? non?aei?o;
xa cia/aiiy a?aoiaioo a?eueoiai eieaeueiiai aeno?aioio a ia??
non?aei?o;
xi cia/aiiy a?aoiaioo iaioiai eieaeueiiai aeno?aioio a ia??
non?aei?o;
xn? cia/aiiy a?aoiaioo na?aaeeie i?ae non?aei?ie eieaeueieie
aeno?aioiaie.
Oiae?, i??eoth/e eia?/ii, iaea?aeeii:
aiie?ooaea a?ae??cea
picscalex1000100090000036c0100000300150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02000440081200000026060f001a00ffffffff00001000
0000c0ffffffa5ffffff00080000a50300000b00000026060f000c004d61746854797065
0000c00009000000fa02000010000000000000002200040000002d010000050000001402
200246030500000013022002f00715000000fb0280fe0000000000009001000000000402
001054696d6573204e657720526f6d616e000066040000002d01010008000000320aac03
410501000000320015000000fb0280fe0000000000009001000000cc0402001054696d65
73204e657720526f6d616e00cc66040000002d01020004000000f001010008000000320a
8101410601000000e00015000000fb0280fe000000000000900100000000040200105469
6d6573204e657720526f6d616e000066040000002d01010004000000f001020008000000
320a81015a0301000000610008000000320a8002340001000000610015000000fb0220ff
0000000000009001000000cc0402001054696d6573204e657720526f6d616e00cc660400
00002d01020004000000f001010008000000320ae101180701000000ec0008000000320a
e101310401000000e10010000000fb0280fe000000000000900100000002000200105379
6d626f6c0002040000002d01010004000000f001020008000000320a8101270501000000
2d0008000000320a80020802010000003d0011000000fb0220ff00000000000090010000
0002040200104d542045787472610002040000002d01020004000000f001010008000000
320ae0020b01010000006c000a00000026060f000a00ffffffff01000000000010000000
fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d010100
04000000f00102000300000000000000000000000000, (9)
iino?eia neeaaeiaa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, (10)
eiao?oe??io /anoioe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, (11)
ii/aoeiaa oaca
aeey neioniiai a?ae??cea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, (12)
aeey eineioniiai a?ae??cea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. (13)
Ia a?aei?io a?ae aeene?aoecaoe?? ii Iaeeaenoo-Eioaeueieeiao, acyooy
a?aee?e?a o eieaeueieo aeno?aioiao ia?aeiiiai neaiaeo yaey? niaith
ia?cio?iiio iine?aeiai?noue ?iioeuen?a, o yeeo o?eaae? ?ioa?aaee /ano
(i?ae /an iaoce a ?iciia?) a?aee?e?a a?aenooi? acaaae?. Oiio ?icaeyae
ieoaiue oaeoiai? /anoioe ? oaeaeeino? oi?iiaaiiai oeeo?iaiai iioieo c
AAe-neaiaeo iiaeia oeoia/eoe o?eueee “o na?aaeiueiio”. O aia?aoi?e
?aae?caoe?? aiaeiai-oeeo?iaiai ia?aoai?aiiy AAe-neaiaeo i?ney acyooy
eiaeiiai a?aee?eo nii/aoeo iiaeiai oi?ioaaoeny oeeo?iaee ?ici??
aiie?ooaee oeueiai a?aee?eo, a iio?i oeeo?iaa cia/aiiy ?ioa?aaeo /ano
aei oaeiai a?aee?eo. Cacia/ai? oeeo?ia? ia?e (eiae aiie?ooaee ? eiae
/aniaiai ?ioa?aaeo aei oaeiai a?aee?eo) iiaeooue iii?uaoeny a aeanoe/io
iai’youe, a?aee?ey i?ney noaoenoe/iiai ii?aoethaaiiy iiaeii? aeoyaaoeny
? ia?aaeaaaoeny oeeo?iaei o?aeoii aaea c iino?eiith oaeaee?noth.
Noaoenoe/ia ii?aoethaaiiy iaiao?aeia aeey c’yniaoaaiiy iayaiino? iaoc o
?iciia? aai iaoc i?ae ie?aieie aeaiaioaie iiaiiai neaiaeo. O naith
/a?ao iayai?noue iaoce i?eionea? caai?iio ia?aaea/? neaiaeo aeaiiai
eaiaeo ii oeeo?iaiio o?aeo? aaaaoieaiaeueii? nenoaie ca’yceo.
I?e oae?e i?aai?caoe?? oeeo?iai? ia?aaea/? AAe-neaiaeo noa? oe?eeii
aei?a/iei aaanoe iiiyooy na?aaeiuei? oeeo?iai? oaeaeeino? ie?aiiai
ia?oe?aeueiiai eaiaeo, a ia?aae oeei na?aaeiuei? /anoioe i?ioiaeaeaiiy
?iioeuen?a YAe-neaiaea. Aiae?c aeaea?ae [Aaeeaie Aeae. Oeeo?iaay
oaeaoiiey: Ia?. n aiae. – I.: ?aaeei e naycue, 1986], ?
eiii’thoa?iee i?ae?aooiie e?eueeino? eieaeueieo aeno?aioi?a o
aeia?eueieo iiaieo o?acao aecia/aii? o?eaaeino? c o?aooaaiiyi yaeua
ae?iaeaeaiiy eieaeueieo aeno?aioi?a, a oaeiae iaoc i?ae aeaiaioaie iiae
? iaoc o ?iciia? iieaco?, ui na?aaeiy /anoioa i?ioiaeaeaiiy eieaeueieo
aeno?aioi?a ia ia?aaeuo? 250… 500 Aoe.
sse a?aecia/aeiny aeua, eiaeoaaiiy AAe-neaiaeo iieyaa? o oi?ioaaii?
ia?e /enae (aeaii??iiai aaeoi?a): ia?oa /enei ?ici?? /a?aiaiai
aeene?aoo, ae?oaa /enei ?ici?? /aniaiai ?ioa?aaeo aei oaeiai
aeene?aoo. sseui aeey ia?aoai?aiiy eiaeiiai c /enae o oeeo?iaee eiae
aeei?enoiaoaaoe 8 ?ic?yae?a ?, a?aeiia?aeii 8 ?ic?yae?a aeey ?ioa?aaea,
oi caaaeueia a?oiaa oaeaee?noue AAe-neaiaeo ia?oe?aeueiiai eaiaeo
neeaaea?:
= fn? · M = 500 · 16 = 8 ea?o/n, (14)
aea fn? na?aaeiy /anoioa i?ioiaeaeaiiy eieaeueieo aeno?aioi?a;
I caaaeueia e?euee?noue ?ic?yae?a, ui a?aeaiaeeoueny aeey
eiaeoaaiiy ?ici??o aeene?aoo ? /aniaiai ?ioa?aaeo.
sse aa/eii, a ii??aiyii? c ?EI (64 ea?o/n) aea?ao neeaaea? 8 ?ac?a ii
oaeaeeino? oeeo?iaiai iioieo, a a ii??aiyii? c AeI (32 ea?o/n) – 4
?ace.
O o?aoueiio ?icae?e? ?icaeyioo? aeueoa?iaoeai? iaoiaee
aeaeueoa-iiaeoeyoe??, oae? ye AeI
c iaeeii/iith iai’yooth, AeI ?c iiaea?eiith iai’yooth ? AeI ?c
i?eieiaiiyi, ui cia/ii ciaioo? iiieeeo eaaiooaaiiy ia iecueeeo ?
na?aaei?o /anoioao. Iaeiaioa iiieeea eaaiooaaiiy ia iecueeeo /anoioao
caaacia/o?oueny iiaeaeeth AeI c iaeeii/iith iai’yooth, i?ioa ia
na?aaei?o ? aenieeo /anoioao ??aaiue iiieeee ca?eueoo?oueny a ii??aiyii?
c iiaeaeeth AeI ?c i?eieiaiiyi. Naia iioeiaeueia c aiae?ciaaieo
iiaeaeae ? AeI ?c i?eieiaiiyi.
Iiaee i?eioeei cieaeaiiy oaeoiai? /anoioe ?icaeyiooee a iaoiae?
eiaeiaaii? aeaeueoa-iiaeoeyoe??.
O /aoaa?oiio ?icae?e? ?icaeyiooa oaoi?/ia ?aae?caoe?y ia?aaeaaaeueii?
oa i?eeiaeueii? /anoeie AAe – neaiae?a. Caaea/a ia?aaeaaa/a
neeaaea?oueny o aecia/aii? i?noey ?icoaooaaiiy eieaeueieo aeno?aioi?a o
aeo?aeiiio neaiae? ? acyooy a?aee?e?a o oeeo oi/eao, a oaeiae
aecia/aii? o?eaaeinoae (?ioa?aae?a) i?ae eiaeiith iioi/iith ia?ith
a?aee?e?a ?c ianooiiei ia?aoai?aiiyi naieo a?aee?e?a ? /aniaeo
?ioa?aae?a o oeeo?ia? eiaee.
Caaea/a i?eeia/a iieyaa? a aeaeiaeoaaii? oeeo?iaeo eiae?a ? oi?ioaaii?
neioniiai (eineioniiai) a?ae??cea, ui iio?i iiaeiai anoaaeyoeny i?ae
oi/eaie iioi/ieo ia? non?aei?o eieaeueieo aeno?aioi?a.
?icaeyiooi oaoi?/io ?aae?caoe?th: aeaeueoa iiaeoeyoi? ?c i?aeaeuaiith
caoeuai?noth a?ae aeanieo ia?aoeiae; no?oeoo?ia noaia ia?aaeaaaeueii?
? i?eeiaeueii? /anoeie eiaeiaaii? aeaeueoa-iiaeoeyoe??.
INIIAI? ?ACOEUeOAOE ?IAIOE ? AENIIAEE
O aeena?oaoe?ei?e ?iaio? ?ic?iaeaiee iaoiae aea??eiai? aeene?aoecaoe??
aeey i?aeaeuaiiy aoaeoeaiino? ia?aaea/? iiaieo neaiae?a oeeo?iaeie
o?aeoaie. Iniiai? ?acoeueoaoe ?iaioe iiaeia noi?ioethaaoe a oaeeo
iieiaeaiiyo:
1. ?ic?iaeaii iaoiae oi?ioaaiiy eaiaeueiiai neaiaeo oeyoii ocyooy
a?aee?e?a o eieaeueieo aeno?aioiao ia?aaeaaaii? ooieoe?? /ano.
2. Aeiaaaeaii, ui iiaeeeaa a?aeiiaeaiiy ia?aeiiiai neaiaeo ii a?aee?eai
o eieaeueieo aeno?aioiao ooieoe??.
3. C?iaeaii ioe?ieo ae?iaeaeaiiy eieaeueieo aeno?aioi?a.
4. ?ic?iaeaii eiii’thoa?io iiaeaeue aeey a?aeiiaeaiiy AAe-neaiaeo.
5. Aecia/aii na?aaeith oaeaee?noue oeeo?iaiai iioieo AAe-neaiaeo.
6. ?ic?iaeaia oaoi?/ia ?aae?caoe?y aia?aoieo cania?a aeey ia?aaea/? ?
i?eeiaiiy AAe-neaiaeo.
7. Cai?iiiiiaaii aoaeoeai? iaoiaee ia?aoai?aiiy ia?aeiiiai neaiaeo a
oeeo?iao oi?io: eiae??oth/a aeaeueoa-iiaeoeyoe?y, aeueoa?iaoeai?
iaoiaee aeaeueoa-iiaeoeyoe??.
INIIAI? ?ACOEUeOAOE AeENA?OAOe?? IIOAE?EIAAI? O ?IAIOAO
1. Aaeaeai E. A., Iiaoeeee A. A. Eiaee?iaaiiay aeaeueoa-iiaeoeyoeey. //
Eioi?iaoeea e naycue: Na. iao/. o?. Oe?. ainoae. aeaaeaiee nayce ei. A.
N. Iiiiaa. – Iaeanna, 1996. – C. 230-235.
2. Aaeaeai E. A., Iiaoeeee A. A., ?iaeie A. Ae. Aeaeueoa-iiaeoeyoi? n
iiauoaiiie caueuaiiinoueth io nianoaaiiuo iiiao. // Eioi?iaoeea e
naycue: Na. iao/. o?. Oe?. ainoae. aeaaeaiee nayce ei. A. N.
Iiiiaa. – Iaeanna, 1997. – C. 112-116.
3. Iiaoeeee A. A. Aeueoa?iaoeaiua iaoiaeu aeaeueoa-iiaeoeyoeee //
Eioi?iaoeea e naycue: Na. iao/. o?. Oe?. ainoae. aeaaeaiee nayce ei. A.
N. Iiiiaa. – Iaeanna 1997 ?2. – C. 27-34.
4. Aaeaeai E.A., Aeaieeaaneee A.A., Iiaoeeee A.A. Iiauoaiea
yooaeoeaiinoe ia?aaea/e oaeaoiiiuo neaiaeia iaoiaeaie auai?i/iie
aeene?aoecaoeee. // Eioi?iaoeea e naycue: Na. iao/. o?. Oe?. ainoae.
aeaaeaiee nayce ei. A. N. Iiiiaa. – Iaeanna, 1998. – C. 168-172.
5. Iiaoeeee A. A. Oaoie/aneay ?aaeecaoeey iaoiaea auai?i/iie
aeene?aoecaoeee i?e ia?aaea/a oaeaoiiiuo niiauaiee // Iao/iua o?oaeu
OAAN ei. A. N. Iiiiaa. – Iaeanna, 1999 ?1. – C. 103-106.
Iiaoeeee A.A. Iiauoaiea yooaeoeaiinoe ia?aaea/e oaeaoiiiuo neaiaeia ii
oeeo?iaui o?aeoai iaoiaeii auai?i/iie aeene?aoecaoeee. – ?oeiienue.
Aeenna?oaoeey ia nieneaiea iao/iie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.12.13 – ?aaeeioaoie/aneea ono?ienoaa e n?aaenoaa
oaeaeiiioieeaoeee. – Oe?aeineay ainoaea?noaaiiay aeaaeaiey nayce ei.
A. N. Iiiiaa, Iaeanna, 1999.
Aeenna?oaoeey iinayuaia enneaaeiaaieth iiauoaiey yooaeoeaiinoe ia?aaea/e
?a/aauo neaiaeia ii oeeo?iaui o?aeoai. I?iaaaeai aiaeec nouanoaothueo a
ianoiyuaa a?aiy iaoiaeia iiauoaiey yooaeoeaiinoe aeey nieaeaiey
nei?inoe oeeo?iaiai iioiea n nio?aiaieai i?eaieaiuo ea/anoa ?a/aaiai
neaiaea. Ii eoiaai aiaeeca i?aaeeiaeai iiaue iaoiae iiauoaiey
yooaeoeaiinoe, eioi?ue i?aaeiieaaaao iai?a?uaii aiaeece?iaaoue oaeouea
ninoiyiey ia?ae/iiai neaiaea e ioae?aoue ec yoeo ninoiyiee
aeey oi?ie?iaaiey oeeo?iaiai iioiea oieueei oa, eioi?ua yaeythony
nouanoaaiiuie aeey aeaeueiaeoae ia?aaioee e a oi aea a?aiy ia niaea?aeao
ecauoi/iuo naienoa ia?aaeaaaaiuo ooieoeee a?aiaie.
A ?aaioa aia?aua i?aaeeiaeai iaoiae oi?ie?iaaiey eaiaeueiiai neaiaea
iooai acyoey ion/aoia a eieaeueiuo yeno?aioiao ia?aaeaaaaiie ooieoeee
a?aiaie e aeieacaii, /oi aiciiaeii ainnoaiiaeaiea ia?ae/iiai neaiaea
ii ion/aoai a eieaeueiuo yeno?aioiao ooieoeee. Oaeie eaiaeueiue neaiae
iacaai yeno?aii-aeene?aoece?iaaiiue, eee YAe-neaiae. ?anniio?aiiue
iaoiae yeno?aii-aeene?aoecaoeee ?a/aaiai neaiaea a eieaeueiuo
yeno?aioiao iicaieyao:
1. Cia/eoaeueii nieceoue ecauoi/iinoue iaaeaeo ion/aoaie.
2. N aunieie oi/iinoueth ainnoaiaaeeaaoue ?a/aaua neaiaeu ec
yeno?aii-aeene?aoece?iaaiiuo.
3. Oiaiueoeoue nei?inoue ia?aaea/e YAe-neaiaea.
A ?aaioa enneaaeiaaia e i?iecaaaeaia ioeaiea au?iaeaeaiey eieaeueiuo
yeno?aioiia. A aeenna?oaoeee aia?aua ?ac?aaioaia
eiiiuethoa?iay iiaeaeue aeey ainnoaiiaeaiey YAe-neaiaea. Ii?aaeaeaia
n?aaeiyy nei?inoue oeeo?iaiai iioiea YAe-neaiaea, eioi?ay ninoaaeyao 8
eaeo/n. A n?aaiaiee n EEI auea?uo ninoaaeyao 8 ?ac ii
nei?inoe oeeo?iaiai iioiea, a ii n?aaiaieth n AeI – 4 ?aca.
?ac?aaioaia oaoie/aneay ?aaeecaoeey aiia?aoiuo n?aaenoa aeey ia?aaea/e e
i?eaia YAe-neaiaea. Caaea/a ia?aaeao/eea ninoieo a
ii?aaeaeaiee ianoiiieiaeaiey eieaeueiuo yeno?aioiia a enoiaeiii
neaiaea e acyoee ion/aoia a yoeo oi/eao, a oaeaea a ii?aaeaeaiee
aeeeoaeueiinoae (eioa?aaeia) iaaeaeo eaaeaeie oaeouae ia?ie ion/aoia n
iineaaeothuei i?aia?aciaaieai naieo ion/aoia e a?aiaiiuo eioa?aaeia a
oeeo?iaua eiaeu. Caaea/a i?eaiieea ninoieo a aeaeiaee?iaaiee oeeo?iauo
eiaeia e oi?ie?iaaiee neioniiai (eineioniiai) io?acea, eioi?ue caoai
aeieaeai anoaaeyoueny iaaeaeo oi/eaie oaeoueo ia? ninaaeieo eieaeueiuo
yeno?aioiia.
Iieo/aiiua ?acoeueoaou iiaoo auoue eniieueciaaiu i?e nicaeaiee
aiia?aoo?u i?aaeiacia/aiiie aeey ia?aaea/e ?a/aauo neaiaeia ii
aani?iaiaeiui e niooieeiaui eaiaeai nayce.
E?iia oiai, i?aaeeiaeaiu aeueoa?iaoeaiua iaoiaeu aeaeueoa-iiaeoeyoeee
oaeea eae: AeI n iaeeii/iie iaiyoueth, AeI n aeaieiie
iaiyoueth e AeI n inoaiiaeie, eioi?ua cia/eoaeueii oiaiueoatho ioeaeo
eaaioiaaiey ia ieceeo e n?aaeieo /anoioao. Iiaue i?eioeei nieaeaiey
oaeoiaie /anoiou ?anniio?ai a iaoiaea eiaee?iaaiiie aeaeueoa-iiaeoeyoee.
?anniio?aia oaoie/aneay ?aaeecaoeey: aeaeueoa iiaeoeyoi? n iiauoaiiie
iiiaoionoie/eainoueth io nianoaaiiuo iiiao; no?oeoo?iay noaia
ia?aaeathuae e i?eaiiie /anoe iaoiaea eiaee?iaaiiie
aeaeueoa-iiaeoeyoeee.
Eeth/aaua neiaa: eieaeueiua yeno?aioiu; yeno?aii-aeene?aoecaoeey;
yeno?aii-aeene?aoece?iaaiiue neaiae; au?iaeaeaiea eieaeueiuo
yeno?aioiia; yooaeoeaiinoue ia?aaea/e; n?aaeiyy nei?inoue YAe-neaiaea.
Iiaoeueeee I.A. I?aeaeuaiiy aoaeoeaiino? ia?aaea/? oaeaoiiieo neaiae?a
ii oeeo?iaeo o?aeoao iaoiaeii aea??eiai? aeene?aoecaoe??. – ?oeiien.
Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.12.13 – ?aae?ioaoi?/i? i?eno?i? oa caniae
oaeaeiioi?eaoe?e. – Oe?a?inueea aea?aeaaia aeaaeai?y ca’yceo ?i. I. N.
Iiiiaa, Iaeana, 1999.
Aeena?oaoe?eio ?iaioo i?enay/aii aeine?aeaeaiith i?aeaeuaiiy
aoaeoeaiino? ia?aaea/? iiaieo neaiae?a oeeo?iaeie o?aeoaie. I?iaaaeaii
aiae?c ?nioth/eo o aeaiee /an iaoiae?a i?aeaeuaiiy aoaeoeaiino? aeey
cieaeaiiy oaeaeeino? oeeo?iaiai iioieo c? caa??aaiiyi i?eeiyoieo yeinoae
iiaiiai neaiaeo. O ?iaio? aia?oa cai?iiiiiaaiee iaoiae oi?ioaaiiy
eaiaeueiiai neaiaeo oeyoii acyooy a?aee?e?a o eieaeueieo aeno?aioiao
ia?aaeaaaii? ooieoe?? /ano ? aeiaaaeaii, ui iiaeeeaa a?aeiiaeaiiy
ia?aeiiiai neaiaeo ii a?aee?eai o eieaeueieo aeno?aioiao ooieoe??.
Oaeee eaiaeueiee neaiae iacaaiee aeno?aii-aeene?aoece?iaaiei, aai
AAe-neaiaeii. O ?iaio? aeine?aeaeaia ? c?iaeaia ioe?iea ae?iaeaeaiiy
eieaeueieo aeno?aioi?a. O ?iaio? aia?oa ?ic?iaeaia eiii’thoa?ia iiaeaeue
aeey a?aeiiaeaiiy AAe-neaiaeo. Aecia/aii na?aaeith oaeaee?noue
oeeo?iaiai iioieo AAe-neaiaeo. ?ic?iaeaia oaoi?/ia
?aae?caoe?y aia?aoieo cania?a aeey ia?aaea/? ? i?eeiaiiy
AAe-neaiaeo. Io?eiai? ?acoeueoaoe iiaeooue aooe aeei?enoai? i?e
noai?aii? aia?aoo?e, i?ecia/aii? aeey ia?aaea/? iiaieo neaiae?a ii
aaci?iaiaeiaeie ? noiooieeiaeie eaiaeaie ca’yceo.
Eeth/ia? neiaa: eieaeuei? aeno?aioie; aeno?aii-aeene?aoecaoe?y;
aeno?aii-aeene?aoece?iaaiee neaiae; ae?iaeaeaiiy eieaeueieo aeno?aioi?a;
aoaeoeai?noue ia?aaea/?; na?aaeiy oaeaee?noue AAe-neaiaea.
Onatski A.V. Increase of efficiency transfer of telephone signals on
digital paths by method selective quantization. – Manuscript.
Thesis being presented for Candidate of Technical Sciences degree,
speciality 05.12.13 – devices of a radiotechnics and
components of telecommunication. The Ukrainian state academy of
Communication named after A. S. Popov, Odessa, 1999.
The dissertation is devoted to research of raising of efficiency of
transfer of speech signals on digital paths. The existing of methods of
raising of efficiency for decrease of speed of a digital flow with
preservation of acceptable qualities of a speech signal is analyzed. The
method of formation of a channel signal by taking of readouts in local
extremums of transmitted function of time is offered in the work for the
first time. The possibility of restoration of a primary signal on
readouts in local extremums of function is provided. Such channel
signal is named extremum-quantization or EQ – signal. An estimation of
degeneration local extremums is made in the work. Computer model for
restoration of an EQ-signal is developed at first. Average speed of a
digital flow of an EQ-signal is determined. Technical realization of
hardware for transfer and reception of an EQ-signal is development. The
received results can be used at creation of the equipment intended for
transfer of speech signals on wireless and satellite communication
channels.
Key words: local extremums; extremum-quantization; extremum-quantization
a signal; degeneration local extremums; efficiency of transfer; average
speed of an EQ-signal.
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