.

Розробка та дослідження високопродуктивних систем просторової обробки з регулярною структурою: Автореф. дис… канд. техн. наук / Д.І. Черкасов, НАН У

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18

IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?INOEOOO I?IAEAI IIAeAETHAAIIss A AIA?AAOEOe?

*a?eania Aeieo?i ?aaiiae/

OAeE 519.716

?IC?IAEA OA AeINE?AeAEAIIss AENIEII?IAeOEOEAIEO NENOAI I?INOI?IAI?
IA?IAEE C ?AAOEss?IITH NO?OEOO?ITH

Niaoe?aeuei?noue 05.13.06 – Aaoiiaoeciaai? nenoaie oi?aae?iiy oa
i?ia?aneai? ?ioi?iaoe?ei? oaoiieia??

AAOI?AOA?AOaeena?oaoe?? ia caeiaoooy a/aiiai nooi?itheaiaeeaeaoa
oaoi?/ieo iaoe

Ee?a – 1999

Aeena?oaoe??th ? ?oeiien.

?aaioa aeeiiaia a Ee?anueeiio IAe? a?ae?ii?eeaae?a IAI “Neaaooe/”.

Iaoeiaee ea??aiee: eaiaeeaeao oaoi?/ieo iaoe

E?ainueeie Aieiaeeie? Aieiaeeie?iae/,

IAe? “Eaaio-Iaa?aaoe?y”, ia?oee canooiiee aee?aeoi?a, aieiaiee ?iaeaia?

Io?oe?ei? iiiiaioe: aeieoi? oaoi?/ieo iaoe Aiaeeaanueeee A?oae?e
Noai?neaaiae/, ?inoeooo i?iaeai iiaeaethaaiiy a aia?aaoeoe? IAI
Oe?a?ie, caa?aeoth/ee a?aeae?eii

aeieoi? oaoi?/ieo iaoe Eaethaeiee Ieaenaiae? sseiae/,
Iaoeiai-ae?iaie/a i?aei?e?inoai “Aeaeueoa”, aieiaiee iaoeiaee
ni?a?ia?oiee

I?ia?aeia i?aai?caoe?y: Iaoe?iiaeueiee Oaoi?/iee Oi?aa?neoao Oe?a?ie
“Ee?anueeee Iie?oaoi?/iee ?inoeooo”, eaoaae?a niaoe?ae?ciaaieo
eiii’thoa?ieo nenoai, I?iina?oe, Ee?a

Caoeno a?aeaoaeaoueny “8” /a?aiy 1999 ?. a 10:00 aiae. ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee E26.185.02 i?e ?inoeooo? i?iaeai
iiaeaethaaiiy a aia?aaoeoe? IAI Oe?a?ie ca aae?anith: Ee?a-164, aoe.
Aaia?aea Iaoiiaa, 15.

C aeena?oaoe??th iiaeia iciaeiieoeny a a?ae?ioaoe? ?inoeoooo i?iaeai
iiaeaethaaiiy a aia?aaoeoe? IAI Oe?a?ie.

Aaoi?aoa?ao ?ic?neaiee “8” o?aaiy 1999 ?.

A/aiee nae?aoa? niaoe?ae?ciaaii? a/aii? ?aaee E26.185.02, eaiaeeaeao
oaoi?/ieo iaoe A.I.Naiaa?ia

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. No/aniee aoai oa?aeoa?eco?oueny iiaeaeueoei
oneeaaeiaiiyi ia/enethaaeueieo nenoai (IN) ia?iaee a?ae?iaeonoe/ieo
neaiae?a, a oaeiae iaiao?aei?noth nei?i/aiiy oeeee?a i?iaeooaaiiy
nenoai, i?aeaeuaiiy ?o iaae?eiino? oa oi?aa?naeueiino?.

A inoaii? aeanyoe??//y c?inea e?euee?noue iaoeiaeo ioae?eaoe?e,
i?enay/aieo oi?iaeueiiio i?iaeooaaiith a?o?oaeoo? IN neaiaeueii?
ia?iaee. Aea ??ciiiai?oi?noue aeaiaio?a, ui aeei?enoiaothoueny, aaaea
aei oiai, ui iaea?aeoaai? oai?aoe/i? ?acoeueoaoe iiaeooue
canoiniaoaaoeny aieiaiei /eiii i?e aeei?enoaii? aoaeue-yeeo eiie?aoieo
aeaiaio?a oa nenoai aocueeiai eeano a?o?oaeoo?. Iino?eia iiiiaeaiiy
aeaeo?iiieo eiiiiiaio?a, a oaeiae c?inoaiiy ianooaa?a ae??ooaaieo caaea/
iaoiiaeth? iaiao?aei?noue ?ic?iaee iiaeo iaoiae?a i?iaeooaaiiy cania?a
oeeo?iai? ia?iaee neaiae?a (OeIN).

Aeooaeuei?noue aeacaii? i?iaeaie iineeth?oueny caaaeyee i?aeaeuaiith
?ioaa?aoe?? oa oaeaeeiae?? eiiiiiaio?a, i?aeaeuaiith ?o
ooieoe?iiaeueiino?, c?inoaiith caaaeueii? e?eueeino? eiiiiiaio?a
nenoaie, ui noai?th? ia?aaeoiiae aeey ae?iaee caaaeueieo i?aeoiae?a aei
i?iaeooaaiiy nenoai, ye? ? ?iaa??aioieie aei aeaiaioii? aace, ui
aeei?enoiao?oueny.

Iaoith ?iaioe ? ?ic?iaea oa aeine?aeaeaiiy iaoiae?a oi?iaeueiiai
i?iaeooaaiiy IN ia?iaee a?ae?iaeonoe/ieo neaiae?a ia i?eeeaae? nenoai
i?inoi?iai? ia?iaee, a oaeiae ?aae?caoe?y oeeo nenoai.

Iniiai? caaea/? aeine?aeaeaiiy:

– aiae?c a?aeiieo aeai?eoi?a i?inoi?iai? ia?iaee oa iniaeeainoae ?o
?aae?caoe?? a IN;

– ?ic?iaea ?iaeaia?ii? iaoiaeeee a?aeia?aaeaiiy aeai?eoi?a ia?iaee
a?ae?iaeonoe/ieo neaiae?a ia no?oeoo?e IN, ui ?o ?aae?cothoue, ia iniia?
oeeo?iaeo i?ioeani??a neaiae?a (OeIN), ui a?aoiao? iniaeeaino?
ia/eneaiue a ?aaeueiiio /an?, oa i???ioiaaii? ia aenieii?iaeoeoeai?
aaaaoii?ioeani?i? nenoaie c iaeii??aeiei neeaaeii eiiiiiaio?a oa
?aaoey?iith oiiieia??th e?i?e ca’yceo;

– iioei?caoe?y no?oeoo? nenoai, yea caaacia/o? i?i?iaeueio e?euee?noue
eiiiiiaio?a, iioeiaeueio caaaioaaeai?noue i?ioeani??a oa e?i?e ca’yceo;

– i?aai?caoe?y oi?aae?iiy i?ioeani?aie nenoaie, yea caaacia/o?
aio/e?noue, iia?aoeai?noue, iaae?ei?noue oa iiaeeea?noue aaaaoi?aaeeiii?
?iaioe;

– ?ic?iaea a?o?oaeoo?e aaaaoii?ioeani?iai? IN OeIN a?ae?iaeonoe/iiai
eiiieaeno, yea aeeth/a? aei naaa i?aenenoaio i?inoi?iai? ia?iaee.

Iaoiaee aeine?aeaeaiiy. I?ae /an ?ic?iaee IN ia?iaee a?ae?iaeonoe/ieo
neaiae?a aeei?enoiaothoueny OeIN. I?ae /an neioaco no?oeoo? IN
aeei?enoiao?oueny oi?iaeueia a?aeia?aaeaiiy aeai?eoia ia?iaee ia
no?oeoo?o nenoaie. Nenoaie, ui i?iaeoothoueny, iioei?cothoueny aeey
aeinyaiaiiy iaeneiaeueiiai ??aiy iaeii??aeiino? oa ?aaoey?iino?.

Ia caoeno aeiinyoueny:

1. I?aeoiaee aei iiaoaeiae a?o?oaeoo? aaaaoii?ioeani?iaeo IN ia?iaee
a?ae?iaeonoe/ieo neaiae?a c ?aaoey?iith no?oeoo?ith ia iniia? OeIN oeia
TMS320.

2. Iaoiaeeea ?iaeaia?iiai neioaco no?oeoo? IN i?inoi?iai? ia?iaee
a?ae?iaeonoe/ieo neaiae?a, yea a?aoiao? iniaeeaino? ia/eneaiue a
?aaeueiiio /an? (ianyae oa /ania? oa?aeoa?enoeee aeaieo, ui
ia?iaeythoueny) oa a?o?oaeoo?o OeIN, ui aeei?enoiaothoueny
(i?iaeoeoeai?noue, i?iioneia caeaoi?noue eaiae?a iai?io, /an aeinooio
aei iia?aoeaii? iai’yo? oa ?? i?aai?caoe?th).

3. ?aae?caoe?y iaoai?ci?a i?aei?ioeani?ii? aca?iiae?? a IN ia?iaee
a?ae?iaeonoe/ieo neaiae?a ia iniia? aooa?eciaaiiai iai?io aeaieie (aeey
aca?iiae?? ia/enethaaeueieo i?ioean?a ?aaeueiiai /ano c aeaoa?i?iiaaiith
/aniaith ae?aa?aiith a iniiaieo ?aaeeiao ooieoe?iioaaiiy nenoai) oa
iaaooa?eciaaiiai iai?io (aeey caaea/ oi?aae?iiy oa eiio?ieth).

4. Niin?a oi?aae?iiy aaaaoii?ioeani?iaeie IN ia?iaee a?ae?iaeonoe/ieo
neaiae?a (?i?oe?ae?caoe?y, iaeaoooaaiiy ia ?aaeei ooieoe?iioaaiiy) ia
iniia? iie?ii?oiiai i?ioieieo c aeei?enoaiiyi ?ieainoeyoe?? iaoai?cio
?ioa?i?aoaoe?? oi?aaeyth/i? ?ioi?iaoe?? a i?ioeani?ao nenoaie.

5. Oaoi?/i? e?eoa??? iaeii??aeiino? oa ?aaoey?iino?, ye? aeicaieythoue
e?euee?nii ioe?ieoe neeaaei?noue ?nioth/eo nenoai oa oeo, ui
i?iaeoothoueny.

Iaoeiaa iiaecia ?acoeueoao?a, ui iaea?aeai? a ?iaio?, iieyaa? a oiio,
ui:

– cai?iiiiiaai? i?aeoiaee aei iiaoaeiae a?o?oaeoo? aaaaoii?ioeani?iaeo
IN ia?iaee a?ae?iaeonoe/ieo neaiae?a c ?aaoey?iith no?oeoo?ith ia iniia?
OeIN oeia TMS320;

– cai?iiiiiaaia iaoiaeeea ?iaeaia?iiai neioaco no?oeoo? IN i?inoi?iai?
ia?iaee a?ae?iaeonoe/ieo neaiae?a, yea a?aoiao? iniaeeaino? ia/eneaiue a
?aaeueiiio /an? oa a?o?oaeoo?o OeIN, ui aeei?enoiaothoueny;

– ?ic?iaeaia ?aae?caoe?y iaoai?ci?a i?aei?ioeani?ii? aca?iiae?? a IN
i?inoi?iai? ia?iaee a?ae?iaeonoe/ieo neaiae?a ia iniia? aooa?eciaaiiai
oa iaaooa?eciaaiiai iai?io aeaieie;

– cai?iiiiiaaiee iaoiae oi?aae?iiy aaaaoii?ioeani?iaeie IN ia?iaee
a?ae?iaeonoe/ieo neaiae?a ia iniia? iie?ii?oiiai i?ioieieo c
aeei?enoaiiyi ?ieainoeyoe?? iaoai?cia ?ioa?i?aoaoe?? oi?aaeyth/i?
?ioi?iaoe?? a i?ioeani?ao nenoaie;

– cai?iiiiiaai? oaoi?/i? e?eoa??? iaeii??aeiino? oa ?aaoey?iino?, ye?
aeicaieythoue e?euee?nii ioe?ieoe neeaaei?noue ?nioth/eo nenoai oa oeo,
ui i?iaeoothoueny.

I?aeoe/ia oe?ii?noue ?iaioe iieyaa? a noai?aii? iniiae aeey ?ic?iaee
?yaeo IN i?inoi?iai? ia?iaee. ?acoeueoaoe, ye? aoee iaea?aeai? i?e
i?iaeooaaii? IN ia?iaee a?ae?iaeonoe/ieo neaiae?a ia iniia? OeIN oeia
TMS320C25, noai?eee aacen aeey oaeaeei? ?ic?iaee ?yaeo nenoai c ??cieie
aeai?eoiaie ia?iaee, no?oeoo?aie oa oaoi?/ieie oa?aeoa?enoeeaie.

?aae?caoe?y ?acoeueoao?a. Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe
aoee aeei?enoai? a Ee?anueeiio IAe? a?ae?ii?eai??a i?ae /an i?iaeooaaiiy
?yaeo IN ia?iaee a?ae?iaeonoe/ii? ?ioi?iaoe??.

Cai?iiiiiaaia ?iaeaia?ia iaoiaeeea i?iaeooaaiiy IN ia?iaee
a?ae?iaeonoe/ieo neaiae?a, yea aeeth/a? aei naaa aiaeec aeai?eoio
ia?iaee, ia?aiiy aeaiaioii? aace, a?aeia?aaeaiiy aeai?eoio ia?iaee ia
no?oeoo?o nenoaie, caaacia/eea iioeiaeueia ieaioaaiiy i?ioean?a ?ic?iaee
IN oa eiio?ieue aeinoia??iino? i?ii?aeieo ?acoeueoao?a ii ?yaeo
iaoeiai-aeine?aeieoeueeeo oa aeine?aeii-eiino?oeoi?nueeeo ?ia?o
(IAeAeE?).

Aacia? aocee aaaaoii?ioeani?iai? IN ia?iaee a?ae?iaeonoe/ieo neaiae?a ia
iniia? OeIN TMS320C25 aeaioiaeai? oa aei?iaiaai? o aeaeyae? aeine?aeieo
c?ace?a. Eiino?oeoi?nueea aeieoiaioaoe?y ia IN ia?aaeaia ia caaiae aeey
na??eiiai aeaioiaeaiiy.

Ai?iaaoe?y ?iaioe. Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe
aeiiia?aeaeeny oa iaaiai?thaaeeny ia iaoeiai-oaoi?/ieo eiioa?aioe?yo oa
nai?ia?ao: “Canoinoaaiiy i?e?ieiio?iea??a ia aac? II ?II, AIE, IE?N a
ia?iaeiiio ainiiaea?noa?” (i. Ee?a, 1993 ?.), “?ioi?iaoe?ei? oaoiieia??
oa nenoaie” (i. Euea?a, 1993 ?.), “Iaeii??aei? ia/enethaaeuei?
na?aaeiaeua oa n?noie?/i? no?oeoo?e” (i. Euea?a, 1993 ?.), “Eiio?ieue oa
oi?aae?iiy a oaoi?/ieo nenoaiao” (i. A?iieoey, 1993 ?.), “I?iaeaie oa
ia?niaeoeae ?icaeoeo noaeiiaoaeoaaiiy a Oe?a?i?” (i. Ieeiea?a, 1994
?.), “Aaoiiaoeea-95” (i. Euea?a, 1995 ?.).

Ioae?eaoe??. Ca oaiith aeena?oaoe?? iioae?eiaaii 4 iaoeiaeo ?iaioe, a
oiio /ene? iaeia aaoi?nueea na?aeioeoai. A ?iaio? [1] aaoi?o iaeaaeeoue
iioei?caoe?y ?ioa?iieyoe?eiiai aeai?eoio aeey ?aae?caoe?? a IN, a ?iaio?
[2] aaoi?o iaeaaeeoue ?ic?iaea i?eioeei?a oa iniiaieo iieiaeaiue iaoiaeo
oi?iaeueiiai i?iaeooaaiiy ia/enethaaeueieo nenoai ia?iaee neaiae?a, a
?iaio? [3] aaoi?o iaeaaeeoue ?ic?iaea iaoiaeo oi?aae?iiy
aaaaoii?ioeani?iaeie IN ia?iaee neaiae?a ia iniia? OeIN, a ?iaio? [4]
aaoi?o iaeaaeeoue ?ic?iaea iia?aoeaiiai caiai’yoiaoth/iai i?eno?ith, ui
caaacia/o? eiio?ieacaeaoi?noue iaeiie/oaa/a eiio?ieueieo eiao?oee?io?a.

?acoeueoaoe ?iaioe oaeiae aeeeaaeai? a oaoi?/ieo ca?oao ii IAeAeE? oa
oaoi?/ieo iienao ae?ia?a ca oaiaoeeith Ee?anueeiai IAe? a?ae?ii?eai??a.

N?oeoo?a oa ianya ?iaioe. ?iaioa neeaaea?oueny c anooio, /ioe?ueio
?icae?e?a, aeniiae?a, ia?ae?eo e?oa?aoo?e oa aeiaeaoe?a. Iaoa??ae
aeeeaaeaii ia 128 noi?. ae?oeiaaiiai oaenoo, i?noeoue a nia? 40
iaethie?a, 23 oaaeeoe?, ia?ae?e e?oa?aoo?e a e?eueeino? 116
iaeiaioaaiue.

INIIAIEE CI?NO ?IAIOE

O aaaaeaii? iaa?oioiaaia aeooaeuei?noue oaie, noi?ioeueiaaia iaoa
?iaioe, iieacaia iiaecia io?eiaieo iaoeiaeo ?acoeueoao?a, a oaeiae
iniiai? iieiaeaiiy, ye? aeiinyoueny ia caoeno.

O ia?oiio ?icae?e? iaaaaeaii nei?i/aiee iien iniiaieo iae?iiia?aoe?e
i?inoi?iai? ia?iaee. Aei oaeeo iae?iiia?aoe?e a?aeiinyoueny:

– oi?ioaaiiy ni?yiiaaiino?;

– noaa?e?caoe?y i?inoi?iai? i???ioaoe?? ae?aa?ai ni?yiiaaiino?, ui
oi?iothoueny;

– iiaeaaeaiiy eieaeueieo caaaae.

Oi?ioaaiiy ni?yiiaaiino? aaco?oueny ia ae??aithaaii? oaciaiai o?iioo
oaee? neaiaeo, ui iinooia? ia aioaio n caaeaiiai iai?yieo. Iniiai?
a?aei?iiino? i?ae ??cieie iaoiaeaie oi?ioaaiiy ni?yiiaaiino? coiiaeai?
a?aei?iiinoyie iaoiae?a ae??aithaaiiy oaciaiai o?iioo. Oi?ioaaiiy o
/ania?e iaeano? aaco?oueny ia aianaii? cao?eiie a neaiaee aeao/ee?a
a?ae?iaeonoe/ii? aioaie, ui eiiiainothoue ??cieoeth /an?a iaaeoiaeaeaiiy
aei aeao/ee?a oaciaiai o?iioo oaee?.

A caaaeueiiio aeiaaeeo ae?ac aeey neaiaea ia aeoiae? ae?aa?aie
ni?yiiaaiino? (AeN), ui oi?io?oueny, i?ae /an oi?ioaaiiy o /ania?e
iaeano? ia? aeaeyae:

wmetafile8? ??e???????????
???????????yyy????.????1?????????????@
???&??yyyy?????Ay?yao???&??MathType??a????uoyU?????aea
wmetafile8? ?? ???????????
???????????yyy????.????1?????????????
?????&??yyyy?????Ay?yA????&?
?MathType??P????u?th??????wmetafile8? ??=???????????
???????????yyy????.????1?????????????
?@???&??yyyy?????Ay?y?????&?
?MathType??P????u?th??????wmetafile8? ??~???+????????
???????????yyy????.????1?????????????
`A???&??yyyy?????“?Oo???&?
?MathType??`????uoyU?????wmetafile8? ??oe????????????
???????????yyy????.????1?????????????
?@???&??yyyy?????AyAy?A???&?
?MathType??P????u?th??????wmetafile8? ???????????????
???????????yyy????.????1?????????????
?????&??yyyy?????AyayA`???&??MathType??
????u?th??????Aeey nenoai neaiaeueii? ia?iaee, ye? aeei?enoiaothoue
aeene?aoeciaai? ii /ano neaiaee, ae?ac (1) iiaea aooe ia?aienaiee o
aeaeyae?:

wmetafile8? ??6???????????
???????????yyy????.????1?????????????@
???&??yyyy?????Ay?ya

o???&??MathType??a????uoyU?????aea wmetafile8?
??O??????????? ???????????yyy????.????1??????
????????????&??yyyy?????Ay?yA????&?
?MathType??P????u?th??????wmetafile8? ??)???????????
???????????yyy????.????1?????????????
?????&??yyyy?????Ay?yA????&?
?MathType??P????u?th??????A?aei?ie i?ae iaoiaeaie oi?ioaaiiy
ni?yiiaaiino? o /ania?e iaeano? iia’ycai? c iniaeeainoyie aianaiiy
cao?eiie a aeene?aoeciaai? aeo?aei? neaiaee aeao/ee?a aioaie. Na?aae
iaoiae?a oi?ioaaiiy ni?yiiaaiino? o /ania?e iaeano? i?aeoe/ii
aeei?enoiaothoueny:

1) iaoiae iaeaeeae/iai a?aee?eo;

2) iaoiae eei?eii? ?ioa?iieyoe??;

3) iaoiae iaeei?eii? ?ioa?iieyoe??;

4) ?ioa?iieyoe?eiee iaoiae I?eaeaia-Io//?;

5) oaci/aniaee iaoiae.

Caaaeyee caaeia?euei?e oi/iino? oa iaaeniei? neeaaeiino? ?aae?caoe??
iaoiaee iaeei?eii? ?ioa?iieyoe?? oa oaci/aniaee iaoiae io?eiaee
iaea?eueoa iioe?aiiy. Aeeeaaeaiith oeeo iaoiae?a i?enay/ai? aeaa
i?ae?icae?ee ia?oiai ?icae?eo.

Aeene?aoia ia?aoai?aiiy Aeeueaa?oa (AeIA), yea aeei?enoiao?oueny o
oaci/aniaiio iaoiae?, ? iioe?aiith iae?iiia?aoe??th, yea ?aae?co?oueny a
nenoaiao i?inoi?iai? ia?iaee. Iien AeIA oaeiae aa?eoia a ia?oee ?icae?e.

Aeey nenoai i?inoi?iai? ia?iaee, ye? ?ici?uai? ia ia?anoaieo iin?yo oa
ooieoe?iiothoue a oiiaao ae?? caaaae, iaa?ae’?iieie i?ioeaaeo?aie
i?inoi?iai? ia?iaee ? noaa?e?caoe?y i?inoi?iai? i???ioaoe?? AeN, ui
oi?iothoueny oa iiaeaaeaiiy ooiiaeo neaiae?a, ye? iathoue iaiaeii??aeia
?iciiae?eaiiy ii i?inoi?iaei eii?aeeiaoai – eieaeueieo caaaae.

A caeaaeiino? a?ae aoaio ia?iaee iaoiaee noaa?e?caoe??
i?ae?icae?eythoueny ia:

1) iaoiaee noaa?e?caoe?? a i?inoi?? aeao/ee?a;

2) iaoiaee noaa?e?caoe?? a i?inoi?? AeN;

3) iaoiaee noaa?e?caoe?? a i?ioean? oi?ioaaiiy ni?yiiaaiino?.

?nio? aeaa iniiai? i?eioeeie i?inoi?iai? noaa?e?caoe?? AeN:

1) ?ioa?iieyoe?y ii i?inoi?iaei eii?aeeiaoai;

2) eiiiainaoe?y ci?i a?aeiinieo cao?eiie i?eoiaeo neaiae?a ii caaeaiei
iai?yieai ia ??ci? aeao/eee, coiiaeai? ia?anoaaie aioaie.

?ioa?iieyoe?y ii i?inoi?iaei eii?aeeiaoai iaea?eueo i?aeoiaeeoue aeey
noaa?e?caoe?? a i?inoi?? aeao/ee?a aai a i?inoi?? AeN, a eiiiainaoe?y
ci?i a?aeiinieo cao?eiie i?eoiaeo neaiae?a ia aeao/eee, aeia?a
ocaiaeaeo?oueny c noaa?e?caoe??th a i?ioean? oi?ioaaiiy ni?yiiaaiino?.

Aeey iiaeaaeaiiy eieaeueieo caaaae i?ae /an oi?ioaaiiy ni?yiiaaiino?
aeei?enoiaothoueny aeaa iniiai? iaoiaee:

1) aaeaioeaia oi?ioaaiiy ni?yiiaaiino? [31, 55, 56];

2) aaeaioeaia eiiiainaoe?y caaaae [86].

I?e aeei?enoaii? aioai c aaeeeith e?euee?noth aeao/ee?a aeey ?aae?caoe??
aaeaioeaiiai oi?ioaaiiy ni?yiiaaiino? aeei?enoiao?oueny iiaeeo?eiaaiee
aeai?eoi O?inoa, ca?aeii yeiai AeN oi?iothoueny o aeaa aoaie:

1) oi?ioaaiiy iaai??a ia?oe?aeueieo AeN;

2) oi?ioaaiiy ?acoeueooth/eo AeN o aeaeyae? noi caaaeaieo neaiae?a ia
aeoiaeao ia?oe?aeueieo AeN.

Aaeaioeaia eiiiainaoe?y iieyaa? a aeeo/aii? c neaiaeo ia aeoiae? AeN
neeaaeiai?, coiiaeaii? ae??th eieaeueieo caaaae. Aeey aeae?eaiiy
neeaaeiai? caaaaee aeei?enoiao?oueny aaeaioeaia o?eueo?aoe?y neaiae?a
AeN, ia?aieo ye iii?i?, aai oi?iothoueny ?aaeaeooth/? AeN, i???ioiaai? a
iai?yieo eieaeueieo caaaae.

Ae?oaee ?icae?e i?enay/aiee aeeeaaeaiith i?aeoiae?a aei iiaoaeiae
a?o?oaeoo? aaaaoii?ioeani?iaeo IN OeIN. Iniiaiei ?acoeueoaoii
aeine?aeaeaiue, aeeeaaeaieo a oeueiio ?icae?e?, ? ?iaeaia?ia iaoiaeeea
ipiaeooaaiiy apo?oaeoope IN OeIN, yea paae?co? caaeaiee aeaipeoi iapiaee
neaiae?a. Iaoiaeeea aeeth/a? iiaoaiia aeeiiaiiy ae?e ii neioaco
apo?oaeoope IN:

1) aiae?c aeaipeoio iapiaee oa aecia/aiiy oaoi?/ieo aeiia aei IN;

2) a?aeiapaaeaiiy aeaipeoio iapiaee ia nopoeoopo IN;

3) ia?aiiy ipeioeei?a i?aeipioeanipieo aca?iiae?e;

4) paae?caoe?y ea?oaaiiy ia/eneaiiyie a IN;

5) iioei?caoe?y apoeoaeoope IN ca ?aooiie i?aeaeuaiiy ?? iaeiip?aeiino?
oa paaoey?iino?;

6) ii??aiyeueiee aiae?c p?cieo apoeoaeoop IN aeey aecia/aiiy iaea?eueo
iioeiaeueii? a?aeiia?aeii iapaii? iiaeae? aiae?co.

Ao?aeieie aeaieie aeey aiae?co ? iaoaiaoe/iee iien aeai?eoio ia?iaee,
no?oeoo? aeaieo oa /ania? oa?aeoa?enoeee i?ioeano ia?iaee. A ?acoeueoao?
aiae?co aeai?eoio ia?iaee aecia/athoueny iniiai? aeiiae aei IN:

1) iio??aia i?iaeoeoeai?noue, wmetafile8? ??Y????????????
???????????yyy????.????1?????????????
?????&??yyyy?????AyOy@T???&??MathType?? ????u?th??????2)
iio??aiee ianya iai’yo? aeaieo, wmetafile8? ??Y????????????
???????????yyy????.????1?????????????
? ???&??yyyy?????AyOy`T???&??MathType?? ????u?th??????3)
iio??aia i?iioneia caeaoi?noue aeey ia?aaea/? aeaieo, wmetafile8?
??Y???????????? ???????????yyy????.????1??????
????????`???&??yyyy?????AyOy T???&??MathType??
????u?th??????Iio??aia i?iaeoeoeai?noue aecia/a?oueny ca oi?ioeith:

wmetafile8? ?????+????????
???????????yyy????.????1?????????????@
???&??yyyy?????Ay?yao???&??MathType??p????u?th??????aea
wmetafile8? ??Y????????????
???????????yyy????.????1?????????????
?a???&??yyyy?????AyOy T???&??MathType??
????u?th??????wmetafile8? ??E????????????
???????????yyy????.????1?????????????
@????&??yyyy?????Ay?yAo???&?
?MathType??p????u?th??????Aecia/aiiy iio??aii? i?iaeoeoeaiino?
aeeiio?oueny ii ??ciei oeiai iia?aoe?e. Aeey eiie?aoieo oei?a yeaiaio?a
iiaeeeai io?eiaiiy ?ioaa?aeueii? iio??aii? i?iaeoeoeaiino? ca oi?ioeith:

PIIO? = wmetafile8? ?????????????
???????????yyy????.????1?????????????
` ???&??yyyy?????Ayyy»yyy`???????&?
?MathType???????u?th??????aea PIIO? – ?ioaa?aeueiay iio??aia
i?iaeoeoeai?noue a aea?aaeaioieo aeaiaioa?ieo iia?aoe?yo;

wmetafile8? ??E????????????
???????????yyy????.????1?????????????
?????&??yyyy????? uy?u???&?
?MathType??P????u?th??????wmetafile8? ??E????????????
???????????yyy????.????1?????????????
? ???&??yyyy?????Guyc u???&?
?MathType??P????u?th??????Cia/aiiy wmetafile8? ??E????????????
???????????yyy????.????1?????????????
? ???&??yyyy?????Guyc u???&?
?MathType??P????u?th??????Iio??aiee ianya iai’yo? aeaieo aecia/a?oueny
ye noia:

V=VAO+VI?+VEIINO+VAEO (5)

aea VAO – ianya iai’yo?, iaiao?aeiee aeey caa??aaiiy ao?aeieo aeaieo;

VI? – ianya iai’yo?, iaiao?aeiee aeey caa??aaiiy i?ii?aeieo
?acoeueoao?a;

VEIINO – ianya iai’yo?, iaiao?aeiee aeey caa??aaiiy eiinoaio;

VAEO – ianya iai’yo?, iaiao?aeiee aeey caa??aaiiy ?acoeueoao?a
ia/eneaiue.

Iniaeea?noth i?aai?caoe?? ia/eneaiue a IN OeIN ? oeeee?/ia aeeiiaiiy
iaeiioeiieo ae?e iaae yeaiaioaie aeaieo a ??cieo ?ioa?aaeao
aeene?aoecaoe??. Ca?aeii c oeei VAUO, VAO, VI? aecia/athoueny
a?aeiia?aeii iaiao?aeiino? caa??aaiiy aeaieo a iaeiiio ?ioa?aae?
aeene?aoecaoe??.

Iio??aia i?iioneia caeaoi?noue S ? ianya aeaieo, ui ia?aneeathoueny a
iaeeieoeth /ano ii e?i?yo ca’yceo, ye? c’?aeiothoue aeaiaioe nenoaie, ?
i?aaenoaaey? niaith noio aeaio eiiiiiaio?a:

S=SAO+SAEO (6)

aea SAO – i?iioneia caeaoi?noue, iaiao?aeia aeey ia?aneeee ao?aeieo
aeaieo;

SAEO – i?iioneia caeaoi?noue, iaiao?aeia aeey ia?aneeee aeo?aeieo
aeaieo.

Aeey aecia/aiiy SAO oa SAEO aeei?enoiaothoueny oi?ioee:

SAO=VAOFAe SAEO=VAEOFAe (7)

Ao?aeieie aeaieie aeey a?aeia?aaeaiiy aeai?eoio ia?iaee ia no?oeoo?o IN
? iien aeai?eoio oa oa?aeoa?enoeee aeaiaio?a, ui aeei?enoiaothoueny.
Ca?aeii c iaoiaeeeith, ui i?iiiio?oueny, a a?ao aeai?eoio ie??i aa?oei,
ye? a?aeiia?aeathoue iia?aoe?yi, aaiaeyoueny aa?oeie, ye?
a?aeiia?aeathoue aeaiei, ui ia?iaeythoueny.

A?ao aeai?eoio ia?iaee caaaeaee ? ni?yiiaaiee. Eiaeia eiai
aa?oeia-iia?aoe?y Fi ia? ye iaaeoiaey/?, oae ? aeoiaey/? aeoae. Eiaeia
aa?oeia-aeai? Di ia? iaeio iaaeoiaey/o aeoao oa iaeio aai aeae?eueea
aeoiaey/eo. Aa?oeie-aeai?, ye? a?aeiia?aeathoue ao?aeiei aeaiei oa
eiinoaioai ia?iaee, iathoue o?eueee aeoiaey/? aeoae. Eiaeia
aa?oeia-aeai?, ui a?aeiia?aea? ?acoeueoaoai ia?iaee, ia? iaeio
iaaeoiaey/o aeoao oa aeiaeii? aeoiaey/i?. Eiaeia aeoaa (Fi,Dj) a?aoo, ui
c’?aeio? aa?oeio-aeai? Dj oa aa?oeio-iia?aoe?th Fi oa ni?yiiaaia a a?e
aa?oeie Fi, caaea? aeei?enoaiiy aeaieo Dj o yeino? a?aoiaio?a iia?aoe??
Fi. Eiaeia aeoaa (Fi,Dj) a?aoo, ui c’?aeio? aa?oeio-aeai? Dj oa
aa?oeio-iia?aoe?th Fi oa ni?yiiaaia a a?e aa?oeie Dj, caaea?
iaea?aeaiiy aeaieo Dj o yeino? ?acoeueoao?a iia?aoe?? Fi. A?ao aeai?eoio
? aeaoaeieueiei, oiaoi aoaeue-yea eiai aa?oeia-iia?aoe?y ? c’?aeiaiith
eeoa c aa?oeiaie-aeaieie, a aoaeue-yea aa?oeia-aeai? – eeoa c
aa?oeiaie-iia?aoe?yie.

A?ao aeai?eoio iieno? io?eiaiiy ?acoeueoao?a aeey aeayeiai n-ai
?ioa?aaeo aeene?aoecaoe??, i?e/iio o yeino? ao?aeieo aeaieo
aeei?enoiaothoueny ao?aei? aeai? aeai?eoio ia?iaee aeey n-ai oa a?eueo
?aii?o ?ioa?aae?a aeene?aoecaoe???, a oaeiae ?acoeueoaoe ia?iaee, ye?
aoee io?eiai? a (n-1)-i oa a?eueo ?aii?o ?ioa?aaeao:

Y(n)=F(X(n), X(n-1),…, Y(n-1), Y(n-2), … ) (8)

aea X(n) – iiiaeeia ao?aeieo aeaieo aeai?eoio a n-i ?ioa?aae?
aeene?aoecaoe??;

Y(n) – iiiaeeia ?acoeueoao?a aeai?eoio a n-i ?ioa?aae? aeene?aoecaoe??;

F(…) – iia?aoi? ia?aoai?aiiy ao?aeieo aeaieo a ?acoeueoaoe ia?iaee
ca?aeii caaeaiiio aeai?eoio.

Eiaei?e aa?oei?-iia?aoe?? Fi noaaeyoueny o a?aeiia?aei?noueiio??aia
i?iaeoeoeai?noue aeey ?? ?aae?caoe?? – P(Fi). Eiaei?e aa?oei?-aeaiei Dj
noaaeyoueny o a?aeiia?aei?noue ianya a?aeiia?aeieo aeaieo, ye?
ia?aaeathoueny a iaeiiio ia??iae? ia?iaee – V(Dj), oa iio??aia i?iioneia
caeaoi?noue aeey ia?aaea/? oeeo aeaieo S(Dj).

A?ao aeai?eoio a?aeia?aaeo?oueny ia a?ao no?oeoo?e IN a o?e aoaie:

1) a?ao aeai?eoio i?eaiaeeoueny aei oi?ie, yea ocaiaeaeo?oueny c
oa?aeoa?enoeeaie ia?iaeyth/eo aoce?a (IA), ui aeei?enoiaothoueny;

2) a?ao aeai?eoio ia?aoai?th?oueny a a?ao no?oeoo?e IN;

3) a?ao no?oeoo?e IN iioei?co?oueny.

A?ao aeai?eoio ? ocaiaeaeaiei c oa?aeoa?enoeeaie IA, yeui a?i
caaeiaieueiy? oaeei oiiaai:

1) aeey eiaeii? aa?oeie-iia?aoe?? Fi aeeiio?oueny:

P(Fi) PIA (9)

1) aeey aa?oei-aeaieo Di, ye? c’?aeiai? c iaei??th aa?oeiith-iia?aoe??th
Fi aeeiio?oueny:

wmetafile8? ???????????????
???????????yyy????.????1?????????????
 a???&??yyyy?????Ayyy»yyy ??[?????&??MathType???????u
y??????aea PIA – i?iaeoeoeai?noue, yeo caaacia/o? iaeei IA;

SIA – i?iioneia caeaoi?noue, yeo caaacia/o? iaeei IA.

I?eaaaeaiiy a?aoa aeai?eoia aei oi?ie, ocaiaeaeaii? c oa?aeoa?enoeeaie
IA, a?aeiineoueny aei eeano caaea/ e?i?eiiai i?ia?aioaaiiy. A
caeaaeiino? a?ae eiie?aoieo oiia i?iaeooaaiiy IN iioeiaeueiei ??oaiiyi
oe??? caaea/? ? a?aoe c i?i?iaeueiith e?euee?noth aa?oei-IA, aa?oei-EC
(e?i?e ca’yceo), caaaeueii? e?eueeino? aa?oei aai ye? a?aeiia?aeathoue
?ioei aeiiaai. Ocaiaeaeaiiy a?aoa aeai?eoio c oa?aeoa?enoeeaie IA
caaacia/o?oueny ca aeiiiiiaith aea?aaeaioieo ia?aoai?aiue a?aoo.

I?ae /an ia?aoai?aiiy a?aoo aeai?eoio a a?ao no?oeoo?e IN eiaei?e
aa?oei?-iia?aoe?? Fi a?aoo aeai?eoio noaaeoueny o a?aeiia?aei?noue
aa?oeia-IA IAi a?aoo no?oeoo?e IN, a eiaei?e aa?oei?-aeaiei Dj a?aoo
aeai?eoio noaaeony o a?aeiia?aei?noue aa?oeia-AIAe (aocie iai’yo?
aeaieo) AIAej a?aoa no?oeoo?e IN. E??i oiai aei a?aoo no?oeoo?e IN
aaiaeyoueny aa?oeie-EC ECk, ye? c’?aeiai? aeoaaie c aa?oeiaie-IA oa
aa?oeiaie-AIAe. Eiaei?e aa?oei? IAi a?aoo no?oeoo?e IN, ye?e ia a?ao?
aeai?eoio a?aeiia?aea? aa?oeia Fi, c’?aeiaia c aa?oeiaie-aeaieie Dj,
noaaeyoueny o a?aeiia?aei?noue i?iaeoeoeai?noue PIA i oa i?iioneia
caeaoi?noue SIA i, i?e/iio

PIA i = P(Fi)

SIA i = wmetafile8? ???????????????
???????????yyy????.????1?????????????
 a???&??yyyy?????Ayyy»yyy ??[?????&??MathType???????u
y??????Eiaei?e aa?oei? ECk, c’?aeiai?e c aa?oeiith AIAej, ye?e ia a?ao?
aeai?eoio a?aeiia?aea? aa?oeia-aeai? Dj, noaaeoueny o a?aeiia?aei?noue
i?iioneia caeaoi?noue S(ECk), yea aei??aith? S(Dj). Eiaei?e aa?oei?
AIAej, ye?e ia a?ao? aeai?eoio a?aeiia?aea? aa?oeia Dj, noaaeoueny o
a?aeiia?aei?noue ianya aeaieo, ui caa??aathoueny V(AIAej), yeee
aei??aith? V(Dj).

I?ney aecia/aiiy no?oeoo?e cania?a, ye? ?aae?cothoue ia?iaeo,
i?iaeoothoueny caniae oi?aae?iiy ia/eneaiiyie a nenoai?.

Aeey iaeaoooaaiiy i?ioeani??a nenoaie ia ocaiaeaeaia ooieoe?iioaaiiy
a?aeiia?aeii c caaeaiei aeai?eoiii ia?iaee iaiao?aeia, ii-ia?oa,
?ioa?i?aoaoe?y oi?aaeyth/i? ?ioi?iaoe??, ii-ae?oaa, ?? iioe?aiiy an?i
i?ioeani?ai. ?nio? aeaa iniiaieo aa??aioe i?aai?caoe?? ae??oaiiy oe?o
caaea/:

1) oeaio?ae?ciaaia ?ioa?i?aoaoe?y oi?aaeyth/i? ?ioi?iaoe?? oa ianooiia
ia?aaea/a ?? an?i i?ioeani?ai, ui iaeaooiaothoueny;

2) ?ieainoeyoe?y ?ioa?i?aoaoe?? a i?ioeani?ao nenoaie.

?ieainoeyoe?y ?ioa?i?aoaoe?? oi?aaeyth/i? ?ioi?iaoe?? a i?ioeani?ao
nenoaie, yea caaacia/o? a?eueo aenieo iaae?ei?noue oa aio/e?noue,
?aae?co?oueny i?e aeei?enoaii? eiaeiei i?ioeani?ii ?ioi?iaoe?? i?i
i?noea eiai onoaiiaee a nenoai? aeey aeai?o c ICI iio??aieo iia?ai. I?e
oeueiio ?aae?co?oueny ?aeeiee aeai?eoi oi?aae?iiy i?ioeani?aie
iacaeaaeii a?ae caaea/?, yeo aiie ae??oothoue a nenoai?, ui ?
nooo?a?noth iie?ii?oiiai i?ioieieo oi?aae?iiy.

I?aeaeuaiiy iaeii??aeiino? oa ?aaoey?iino? no?oeoo?e IN i?aaenoaaey?
niaith iioei?caoe?th no?oeoo?e nenoaie, yea aoea iaea?aeaia a
?acoeueoao? a?aeia?aaeaiiy aeai?eoio ia?iaee ia no?oeoo?o IN oa
aecia/aiiy iaoiae?a oa cania?a oi?aae?iiy ia/eneaiiyie a nenoai?. Aeey
ioe?iee ??aiy iaeii??aeiino? IN aeei?enoiao?oueny eiao?oe??io
iaeii??aeiino?, yeee aecia/a?oueny ii oi?ioe?:

KIAeI = wmetafile8? ??W???????????
???????????yyy????.????1?????????????
 ????&??yyyy?????Ayyy3/4yyy@??^?????&??MathType???
???u?????????”????-?????(@????(-???u?th??????aea I –
caaaeueia e?euee?noue oei?a eiiiiiaio?a nenoaie;

Ni – e?euee?noue eiiiiiaio?a i-ai oeio, ye? aeei?enoiaothoueny a
nenoai?;

N – caaaeueia e?euee?noue eiiiiiaio?a a nenoai?.

Ioe?iea ??aiy ?aaoey?iino? nenoai cae?enith?oueny ca aeiiiiiaith
eiao?oe??ioa ?aaoey?iino?, yeee aecia/a?oueny ii oi?ioe?:

K?AA = wmetafile8? ??u????????????
???????????yyy????.????1?????????????
@a???&??yyyy?????AyyyAyyy ????????&??MathType??a?
???u?????????”????-?????ue@????ue????u?th??????aea NB –
e?euee?noue aaciaeo o?aaiaio?a a no?oeoo?? nenoaie.

Aeioe?euei?noue iioei?caoe?? nenoaie aeey i?aeaeuaiiy iaeii??aeiino? oa
?aaoey?iino? ?? no?oeoo?e ne?aeo? c oiai, ui nenoaie, ye?
oa?aeoa?ecothoueny a?eueoeie iaeii??aei?noth oa ?aaoey?i?noth,
caaacia/othoue iaioo i?aoeai?noe?noue oa eiooiai?noue ?ic?iaee,
aeaioiaeaiiy oa aenieoaoaoe??, a?eueo aenie? oi?aa?naeuei?noue oa
iaae?ei?noue.

A o?aoueiio ?icae?e? i?aaenoaaeai? ?acoeueoaoe i?iaeooaaiiy IN
i?inoi?iai? ia?iaee (II) ia iniia? ??cieo aeaiaio?a oa ye? ?aae?cothoue
??ci? aeai?eoie ia?iaee. Na?aae ?icaeyiooeo nenoai:

– IN II c aaeoi?ii-eiiaae??iith a?o?oaeoo?ith ia iniia? cania?a c
i?e?ii?ia?aiiei oi?aae?iiyi;

– nenoie?/ia IN II ia iniia? cania?a c i?e?ii?ia?aiiei oi?aae?iiyi;

– nenoie?/ia IN II ia iniia? iaeii??aeiiai ia/enethaaeueiiai na?aaeiaeua
(IIN);

– IN II ia iniia? OeIN.

Aeey iiaoaeiae ia?iaeyth/eo aoce?a aaeoi?ii-eiiaae??ii? IN II a yeino?
aeaiaioii? aace aoee aeei?enoai? aocueei-niaoe?ae?ciaai? aeaiaioe, ye?
?aae?cothoue aacia? iia?aoe?? ia?iaee (iiiiiaeoaa/?, AEI), a oaeiae
aeaiaioe aeey noai?aiiy i?e?ii?ia?aiiaaieo nenoai (i?eno?i?
i?e?ii?ia?aiiiai oi?aae?iiy). ?aae?caoe?y aaciaiai ia?iaeyth/iai aocea
ia iniia? A?N 1518AAE3 (iiiiiaeoaa/-iaeiie/oaa/) oa 1804AN1 (AEI)
aecia/a? eiai ieeiao i?iaeoeoeai?noue ia ??ai? 5 iei. iia?aoe?e/n oa
ieeiao i?iioneio caeaoi?noue ia ??ai? 5 iei. ne?a/n.

A IN II aeei?enoiao?oueny ii?aeiaiiy ?icia?aeaethaaiiy ii iia?aoe?yo
(eiiaae???caoe?y) oa ii ?acoeueoaoao ia/eneaiue (aaeoi?ecaoe?y). A
nenoai? ?aae?cothoueny iai?ie aeaieie /a?ac aooa?i? ICI c i?aeo?eieith
ia ??ai? i?e?ii?ia?aiiiai oi?aae?iiy. Ia?aaea/a aeaieo, ui
ia?iaeythoueny, cae?enith?oueny ii iaa?no?aeueieo e?i?yo ca’yceo.

Aei neeaaeo nenoie?/ii? IN II ia iniia? cania?a c i?e?ii?ia?aiiei
oi?aae?iiyi iaaeoiaeyoue 8 i?ioeani??a, ICI oa i?eno??e oi?aae?iiy (IO).
Eiaeiee c i?ioeani??a i?noeoue a nia? aeie i?e?ii?ia?aiiiai oi?aae?iiy,
ia?iaeyth/ee aocae oa aeaa aocee iai’yo? aeaieo. I?ioeani?e nenoie?/ii?
IN II ?aae?ciaai? c aeei?enoaiiyi o??? ae naii? aeaiaioii? aace, ui ?
ia?iaeyth/? aocee aaeoi?ii-eiiaae??ii? IN II (A?N
iiiiiaeoaa/a-iaeiie/oaa/a 1518AAE3, AEI 1804AN1), ui coiiaeth? ?o
no?aei? oaoi?/i? oa?aeoa?enoeee. Aioo??oiy no?oeoo?a i?ioeani??a
caaacia/o? iiaeeea?noue iiaoaeiae ia ?o aac? IN OeIN oe?ieiai eeano
a?o?oaeoo?, ye? i?noyoue aoaeue-yeo e?euee?noue i?ioeani??a. Aaaeeeaith
iniaeea?noth i?ioeani??a ? ni?iiiaei?noue eiaeiiai c ieo iaeii/anii
aeeiioaaoe ia?iaeo aeaieo, ye? caa??aathoueny ai aioo??oi?o aoceao
iai’yo? aeaieo, oa cae?enithaaoe iai?i aeaieie c ciai?oi?ie i?eno?iyie.

Aeaiaioiith aacith aeey nenoie?/ii? IN II ia iniia? IIN ? A?N
iaeii?iaeiiai ia/enethaaeueiiai na?aaeiaeua (IIN) “?aeoa-5” oa A?N
iaeii?iaeiiai caiai’yoiaoth/iai na?aaeiaeua (ICN) “?aeoa-6”.
Iacaaaeath/e ia aenieo iaeii??aei?noue oa ?aaoey?i?noue, caaaeyee
iaaaeeei? oaeaeeiae?? aeei?enoaieo aeaiaio?a (oaeoiaa /anoioa ia a?eueo
i?ae 2,5 IAoe), a oaeiae caaaeyee neeaaeiino? i?ia?aioaaiiy IIN oa ICN
aeaia nenoaia iinooia?oueny ii oaoi?/iei oa?aeoa?enoeeai IN II, ye?
?aae?ciaai? ia ?io?e aeaiaioi?e aac?.

I?ae /an i?iaeooaaiiy IN II ia iniia? OeIN aoee ?icaeyioo? aa??aioe
?aae?caoe?? ia aac? OeIN oeia TMS320C25 oa TMS320C40. I?e aeei?enoaii?
OeIN oeia TMS320C25 a yeino? iniiaieo no?oeoo?ieo eiiiiiaio?a aoee
aeei?enoai? aocee aeaio oei?a: ia?iaeyth/? aocee (IA), eiaeai c eioi?eo
i?noeoue iaeei OeIN, oa aocee aeaiaoiaeiaeo caiai’yoiaoth/eo i?eno?i?a
(CI), aei neeaaeo eiaeiiai c yeeo iaaeoiaeyoue ICI oa ICI. IN II ia
iniia? OeIN oeia TMS320C25 oa?aeoa?eco?oueny aenieei nooiaiai
iaeii??aeiino? aoce?a, ye? iaaeoiaeyoue aei ?? neeaaeo, oa aeei?enoaieo
?ioa?oaen?a e?i?e ia?aaea/? ?ioi?iaoe??. ?iaeea?aeoaeueia i?ia?aioaaiiy
eiaeiiai IA, a oaeiae ?icaeiooa nenoaia eiiaiae OeIN caaacia/othoue
oi?aa?naeuei?noue nenoaie oa iiaeeea?noue ?aae?caoe?? a i?e oe?ieiai
eeano ia/enethaaeueieo aeai?eoi?a.

Ca ?aooiie a?eueo aeniei? i?iaeoeoeaiino? (25 iei. iia?aoe?e/n i?ioe 10
iei. iia?aoe?e/n) oa ooieoe?iiaeueiino? OeIN oeia TMS320C40 IN II ia ?o
aac? iathoue iaio? iani-aaaa?eoi? oa?aeoa?enoeee oa a?eueo aenieo
iaeii??aei?noue.

A /aoaa?oiio ?icae?e? i?aaenoaaeai? ?acoeueoaoe i?iaeooaaiiy IN ia?iaee
a?ae?iaeonoe/ieo neaiae?a, i???ioiaaii? ia aeei?enoaiiy o neeaae?
eiiieaeno, ?icoaoiaaiiai ia ?ooiiiio iin??, oa ?aae?co? eiiieaenio
ia?iaeo neaiae?a, ye? iinooiathoue a?ae a?ae?iaeonoe/ii? aioaie, a oiio
/ene? ? i?inoi?iao ia?iaeo.

A neeaae i?eno?ith OeIN, yeee iaaeoiaeeoue aei nenoaie, iaaeoiaeyoue 25
?aeaioe/ieo IA ia iniia? OeIN oeia TMS320C25 oa 5 aeaiaoiaeiaeo CI,
eiaeai c yeeo i?noeoue a nia? ICI oa ICI.?ic?iaeaii niaoe?o?eaoe??
?ioa?oaen?a ia?aaea/? aeaieo oa oi?aaeyth/i? ?ioi?iaoe??, a oaeiae
oe?oiiaiee aeai?eoi ooieoe?iioaaiiy nenoaie.

A?aeiiino?, iaaaaeai? a /aoaa?oiio ?icae?e?, a?aeiia?aeathoue oaoi?/iei
??oaiiyi, ye? aoee caeeaaeai? i?ae /an ?iai/iai i?iaeooaaiiy ?aaeueii?
IN OeIN oa aeinoia??i?noue yeeo i?aeoaa?aeaeo?oueny iiaeaethaaiiyi oa
iaeaooaaiiyi.

INIIAI? ?ACOEUeOAOE ?IAIOE OA AENIIAEE

1. Cai?iiiiiaaii i?aeoiaee aei iiaoaeiae a?o?oaeoo? aaaaoii?ioeani?iaeo
IN ia?iaee a?ae?iaeonoe/ieo neaiae?a c ?aaoey?iith no?oeoo?ith ia iniia?
OeIN oeia TMS320.

2. Cai?iiiiiaaii iaoiaeeeo ?iaeaia?iiai neioaco no?oeoo? IN i?inoi?iai?
ia?iaee a?ae?iaeonoe/ieo neaiae?a, yea a?aoiao? iniaeeaino? ia/eneaiue a
?aaeueiiio /an? (ianyae oa /ania? oa?aeoa?enoeee aeaieo, ui
ia?iaeythoueny) oa a?o?oaeoo?o OeIN, ui aeei?enoiaothoueny
(i?iaeoeoeai?noue, i?iioneio caeaoi?noue eaiae?a iai?io, /an aeinooio
aei iia?aoeaii? iai’yo? oa ?? i?aai?caoe?th), yea aeeth/a? aei naaa
aiae?c aeai?eoio ia?iaee, oi?ioee aeey ?ic?aooieo iio??aii?
i?iaeoeoeaiino?, ianyao iai’yo? aeaieo oa i?iioneii? caeaoiino? aeey
ia/enethaaeueieo cania?a, oa a?aeia?aaeaiiy aeai?eoio ia no?oeoo?o
ia/enethaaeueii? nenoaie, yea eiai ?aae?co?.

3. ?ic?iaeaii ?aae?caoe?th iaoai?ci?a i?aei?ioeani?ii? aca?iiae?? a IN
ia?iaee a?ae?iaeonoe/ieo neaiae?a ia iniia? aooa?eciaaiiai iai?io
aeaieie (aeey aca?iiae?? ia/enethaaeueieo i?ioean?a ?aaeueiiai /ano c
aeaoa?i?iiaaiith /aniaith ae?aa?aiith a iniiaieo ?aaeeiao
ooieoe?iioaaiiy nenoai) oa iaaooa?eciaaiiai iai?io (aeey caaea/
oi?aae?iiy oa eiio?ieth).

4. Cai?iiiiiaaii iaoiae oi?aae?iiy aaaaoii?ioeani?iaeie IN ia?iaee
a?ae?iaeonoe/ieo neaiae?a (?i?oe?ae?caoe?y, iaeaoooaaiiy ia ?aaeei
ooieoe?iioaaiiy) ia iniia? iie?ii?oiiai i?ioieieo c aeei?enoaiiyi
?ieainoeyoe?? iaoai?cio ?ioa?i?aoaoe?? oi?aaeyth/i? ?ioi?iaoe?? a
i?ioeani?ao nenoaie.

5. Cai?iiiiiaaii oaoi?/i? e?eoa??? iaeii??aeiino? oa ?aaoey?iino?, ye?
aeicaieythoue e?euee?nii ioe?ieoe neeaaei?noue ?nioth/eo nenoai oa oeo,
ui i?iaeoothoueny.

IOAE?EAOe?? II OAI? AeENA?OAOe??

1. Aa?eoeeee A.E., Aeacueaa A.E., Caoea?eianeee ?.A., *a?eania Ae.E.
Iaoiaeu eioa?iieyoeee a caaea/ao i?ino?ainoaaiiie ia?aaioee neaiaeia. –
Noaeinoieoaeueiay i?iiuoeaiiinoue, na?. ?aaeeieieaoeey, 1991 a.,
aui. 29, n. 64-67.

2. E?aineie A.A., *a?eania Ae.E. Neioac no?oeoo? au/eneeoaeueiuo nenoai
OeIN ii caaeaiiiio aeai?eoio ia?aaioee. – Ca??iee iaoeiaeo i?aoeue
?inoeoooo i?iaeai iiaeaethaaiiy a aia?aaoeoe?. Aeione 6. Aeaeaaieoeoai
?OA: *a?eane, 1998 a., n. 130-138.

3. E?aineie A.A., *a?eania Ae.E. Oi?aaeaiea au/eneaieyie ai ano?iaiiuo
iiiaii?ioeanni?iuo nenoaiao OeIN iiaeeueiuo eiiieaenia. Oi?aaeythuea
nenoaiu e iaoeiu, ? 6, 1998 a., n. 53-56.

4. A. n. 1674269 NNN?. IEE5 G 11 C 29/00. ICO n eni?aaeaieai ioeaie.
Aaeea A.E., E?aineie A.A., Oiiaiei I.A., *a?eania Ae.E.–Cayaeaii:
14.11.88; iioae. 30.08.91. Athe. ? 32.

*a?eania Ae.?. ?ic?iaea oa aeine?aeaeaiiy aenieii?iaeoeoeaieo nenoai
i?inoi?iai? ia?iaee c ?aaoey?iith no?oeoo?ith

Aeena?oaoe?y ia iiooeaiiy a/aiiai nooi?ith eaiaeeaeaoa oaoi?/ieo iaoe c
niaoe?aeueiino? 05.13.06 – aaoiiaoeciaai? nenoaie oi?aae?iiy oa
i?ia?aneai? ?ioi?iaoe?ei? oaoiieia??, ?inoeooo i?iaeai iiaeaethaaiiy a
aia?aaoeoe?, IAI Oe?a?ie, Ee?a, 1998 ?.

?ic?iaeaii i?aeoiaee aei i?iaeooaaiiy iiiaii?ioeani?ieo nenoai
i?inoi?iai? ia?iaee ?aaeueiiai /ano, ye? aeeth/athoue aei naaa
oi?iaeueia a?aeia?aaeaiiy a?aoo aeai?eoio ia?iaee a a?ao no?oeoo?e
nenoaie. Cai?iiiiiaaii oeyoe i?aai?caoe?? oi?aae?iiy
aaaaoii?ioeani?iaith nenoaiith ia iniia? OeIN, i?aei?ioeani?ii?
aca?iiae??, iai?io aeaieie, ui ia?iaeythoueny. I?aaenoaaeai? e?euee?ni?
e?eoa??? aeey ioe?iee ??aiy ?aaoey?iino? oa iaeii??aeiino? nenoai.

Eeth/ia? neiaa: i?inoi?iaa ia?iaea, nenoaie ia?iaee neaiae?a, nenoaie
?aaeueiiai /ano, aaaaoii?ioeani?ia? nenoaie, iaeii??aei?noue,
?aaoey?i?noue.

*a?eania Ae.E. ?ac?aaioea e enneaaeiaaiea aunieii?iecaiaeeoaeueiuo
nenoai i?ino?ainoaaiiie ia?aaioee n ?aaoey?iie no?oeoo?ie (?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, Einoeooo i?iaeai
iiaeaee?iaaiey a yia?aaoeea, IAI Oe?aeiu, Eeaa, 1998 a.

?aaioa iinayuaia ?ac?aaioea e enneaaeiaaieyi iaoiaeia oi?iaeueiiai
i?iaeoe?iaaiey au/eneeoaeueiuo nenoai (AN) ia?aaioee aeae?iaeonoe/aneeo
neaiaeia ia i?eia?a nenoai i?ino?ainoaaiiie ia?aaioee, a oaeaea
?aaeecaoeee yoeo nenoai. Oeaeyie ?aaiou yaeythony aiaeec ecaanoiuo
aeai?eoiia i?ino?ainoaaiiie ia?aaioee e iniaaiiinoae eo ?aaeecaoeee,
?ac?aaioea eiaeaia?iie iaoiaeeee ioia?aaeaiey au/eneeoaeueiuo aeai?eoiia
ia no?oeoo?u au/eneeoaeueiuo nenoai, iioeiecaoeey no?oeoo? nenoai e
i?aaiecaoeey oi?aaeaiey au/eneaieyie a iiiaii?ioeanni?iuo nenoaiao.

?acoeueoaoaie ?aaiou yaeythony:

– iiaeoiaeu e iino?iaieth a?o?oaeoo? iiiaii?ioeanni?iuo AN
aeae?iaeonoe/aneeo neaiaeia n ?aaoey?iie no?oeoo?ie ia iniiaa oeeo?iauo
i?ioeanni?ia neaiaeia (OeIN) oeia TMS320;

– iaoiaeeea eiaeaia?iiai neioaca no?oeoo? AN i?ino?ainoaaiiie ia?aaioee
aeae?iaeonoe/aneeo neaiaeia, o/eouaathuay iniaaiiinoe au/eneaiee a
?aaeueiii a?aiaie e a?o?oaeoo?o eniieuecoaiuo OeIN;

– ?aaeecaoeey iaoaieciia iaaei?ioeanni?iiai acaeiiaeaenoaey a AN
ia?aaioee aeae?iaeonoe/aneeo neaiaeia;

– iaoiae oi?aaeaiey iiiaii?ioeanni?iuie AN ia?aaioee aeae?iaeonoe/aneeo
neaiaeia ia iniiaa iieeii?oiiai i?ioieiea n eniieueciaaieai
eieainoeyoeee iaoaiecia eioa?i?aoaoeee oi?aaeythuae eioi?iaoeee a
i?ioeanni?ao nenoaiu;

– oaoie/aneea e?eoa?ee iaeii?iaeiinoe e ?aaoey?iinoe, iicaieythuea
eiee/anoaaiii ioeaieoue neiaeiinoue nouanoaothueo e aiiaue i?iaeoe?oaiuo
nenoai.

I?aeoe/aneay iieaciinoue ?aaiou ninoieo a nicaeaiee iniiau aeey
?ac?aaioee ?yaea AN i?ino?ainoaaiiie ia?aaioee. ?acoeueoaou, iieo/aiiua
i?e i?iaeoe?iaaiee AN ia?aaioee aeae?iaeonoe/aneeo neaiaeia ia iniiaa
OeIN oeia TMS320C25, nicaeaee aacen aeey auno?ie ?ac?aaioee ?yaea nenoai
n ?acee/iuie aeai?eoiaie ia?aaioee, no?oeoo?aie e oaoie/aneeie
oa?aeoa?enoeeaie.

?acoeueoaou aeenna?oaoeeiiiie ?aaiou eniieueciaaiu i?e i?iaeoe?iaaiee
?aaeueiuo AN ia?aaioee aeae?iaeonoe/aneie eioi?iaoeee, iaoiaeyueony a
na?eeiii i?iecaiaenoaa.

Eeth/aaua neiaa: i?ino?ainoaaiiay ia?aaioea, nenoaiu ia?aaioee neaiaeia,
nenoaiu ?aaeueiiai a?aiaie, iiiaii?ioeanni?iua nenoaiu, iaeii?iaeiinoue,
?aaoey?iinoue.

Cherkasov D.I. Development and investigation of the high-performance
beamforming systems with a regular structure (manuscript).

Dissertation for candidate degree of technical sciences by speciality
05.13.06 – control systems and advanced information technologies,
Institute of Simulation Problems in Power Engineering, National Academy
of Sciences of Ukraine, Kiev, 1998.

Methods for the developing of the real-time multiprocessor beamforming
systems are presented, including formal conversion of the graph of
procession algorithm into the graph of the system’s structure. Ways for
system control, interprocessor communication, data being processed
exchange are offered. Numerical criteria for system regularity and
homogenity evaluating are presented.

Keywords: beamforming, digital signal processing systems, real-time
systems, multi-processor systems, homogenity, regularity.

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