.

Цифрові фільтри сигналів з розширеним спектром у системах керування збиранням інформації: Автореф. дис… канд. техн. наук / О.А. Шпинковський, Одес.

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IAeANUeEEE AeA?AEAAIEE IIE?OAOI?*IEE OI?AA?NEOAO

Oieieianueeee Ieaenaiae? Aiaoie?eiae/

OAeE 621.372.54.037.372

OeEO?IA? O?EUeO?E NEAIAE?A C ?ICOE?AIEI NIAEO?II

O NENOAIAO EA?OAAIIss CAE?AIIssI ?IOI?IAOe??

Niaoe?aeuei?noue 05.13.05 – Aeaiaioe oa i?eno?i? ia/enethaaeueii?
oaoi?ee oa nenoai ea?oaaiiy

Aaoi?aoa?ao aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

Iaeana – 1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia ia eaoaae?? «Aeaeo?iii? oa eiii`thoa?eciaai? nenoaie»
Iaeanueeiai aea?aeaaiiai iie?oaoi?/iiai oi?aa?neoaoo, I?i?noa?noaa
ina?oe Oe?a?ie .

Iaoeiaee ea??aiee

aeieoi? oaoi?/ieo iaoe, i?ioani?

Iaeaoia Aaea??e Iaaeiae/

Iaeanueeee aea?aeaaiee iie?oaoi?/iee oi?aa?neoao, ?aeoi?

Io?oe?ei? iiiiaioe:

aeieoi? oaoi?/ieo iaoe, i?ioani?

Ea?iianueeee THoei sseiae/

Iaeanueeee aea?aeaaiee iaaee/iee oi?aa?neoao, i?i?aeoi?

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio

AEeaeoey Aieiaeeie? ?aaiiae/

Iaeanueea aea?aeaaia aeaaeai?y oieiaeo,

caa?aeoth/ee eaoaae?ith «Aeaeo?ioaoi?ee oa aeaeo?iiieo i?eno?i?a»

I?ia?aeia onoaiiaa

Oa?e?anueeee aea?aeaaiee iie?oaoi?/iee oi?aa?neoao, I?i?noa?noaa ina?oe
Oe?a?ie, i. Oa?e?a.

Caoeno a?aeaoaeaoueny « 24 » /a?aiy 1999 ?. i 13 aiae. 30
oa. ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae41.052.01 a
Iaeanueeiio aea?aeaaiiio iie?oaoi?/iiio oi?aa?neoao? ca aae?anith:
270044, i. Iaeana, i?. Oaa/aiea, 1.

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe? Iaeanueeiai
aea?aeaaiiai iie?oaoi?/iiai oi?aa?neoaoo ca aae?anith: i. Iaeana, i?.
Oaa/aiea, 1.

Aaoi?aoa?ao ?ic?neaiee « 24 » o?aaiy 1999 ?ieo.

A/aiee nae?aoa? niaoe?ae?ciaaii?

a/aii? ?aaee, i?ioani? ssiiieuenueeee TH.N.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Iaei??th c iaeaaaeeea?oeo aaeocae canoinoaaiiy
aeaeo?ii?ee ? cae?aiiy ?ioi?iaoe?? ia?aeiieie ia?aoai?thaa/aie (II), ??
ia?aaea/a oa ia?iaea.

Oe? i?ioeane ea?othoueny AII aai ?ioeie i?eno?iyie ea?oaaiiy oa
eiio?ieth. Iniaeeai aaaeeeaith iinoa? caaea/a cae?aiiy ?ioi?iaoe?? a?ae
aaeeei? e?eueeino? II, iaeiei ?c i?eeeaae?a canoinoaaiiy yeeo ? nii?oaee
aeey caa??aaiiy aaeeei? iane ca?iiaeo eoeueoo? (aeaaaoi?e, eiia?iaoe
oe?aii?iaeoeo?a oiui). Oe? nii?oaee iaeaaeiaii /eiaeith e?euee?noth
(nioi?, oeny/?) II (iai?eeeaae oaiia?aoo?e, aieiaino?), ui aoiaeyoue aei
i?eno?i?a i?eeiaiiy, caa??aaiiy, nooee, i/euaiiy oa a?aeaaioaaeaiiy
ca?iiaeo eoeueoo?. Canoinoaaiiy II aeiaaa? a?aeiia?aeii? e?eueeino?
c`?aeioaaeueieo eaaae?a oa eiiooaoe?eieo i?eno?i?a i?ae II oa ea?oth/ith
/anoeiith nenoaie ea?oaaiiy cae?aiiyi ?ioi?iaoe?? (NEC?), ui
i?ecaiaeeoue aei cieaeaiiy iaae?eiino?, ?aiiioii?eaeaoiino?,
ia?aoeiaeino?eeino? oiui. Aeei?enoaiiy ae aaci?ia?aeieo cania?a
ia?aaea/? aei?iai ? ia caaaeaee aei?aaaeaii.

Iaeiei c oeyo?a ae??oaiiy oeeo caaea/ ? iiaeeeaei canoinoaaiiy o NEC?
i?eioeeio eiaeiaiai ?icae?eaiiy ?ioi?iaoe?? II o caaaeueiiio eaiae?
(iiiieaiae?). Oea aeicaieeoue aeinyaoe: aeiiii?? eieuei?iaeo iaoae?a oa
noiooi?o iaoa??ae?a, ui aoiaeyoue aei neeaaeo eaaaeueii-i?ia?aeieeiai?
i?iaeoeoe??; iiaeeeaino? ?iaioe c a?eueoith e?euee?noth II oa
iiaeeeaino? ci?ie no?oeoo?e nenoaie cae?aiiy ?ioi?iaoe?? c iaeiaioeie
aeo?aoaie o ii??aiyii? c o?aaeeoe?eieie NEC?.

Aeaiaioaie aaaaoieaiaeueieo nenoai cae?aiiy ?ioi?iaoe?? ? ia?aaeaaa/?,
eiaeiee c yeeo ca`ycaiee c iaeiiai aieo c a?aeiia?aeiei eiio II, a c
?ioiai /a?ac iiiieaiae c i?eeia/ai ?ioi?iaoe??. Ia?aaeaaaeueia /anoeia
i?noeoue aaia?aoi? eiaeiai? iine?aeiaiino?, oaciaee iiaeoeyoi?, i?eno??e
ocaiaeaeaiiy c e?i??th ca`yceo. A i?ioean? iiaeoeyoe?? neaiaeo II
eiaeiaith inaaaeiaeiaaeeiaith iine?aeiai?noth (IAI) a?aeaoaa?oueny
?icoe?aiiy niaeo?o neaiaeo, aiane?aeie /iai i?aeaeuo?oueny
ia?aoeiaeino?ee?noue eaiae?a ia?aaea/? ?ioi?iaoe??.

Noi?o iiaeoeueiaaieo neaiae?a c ?icoe?aiei niaeo?ii (N?N),
a?aeiia?aeieo eaiaeai ia?aaea/? ?ioi?iaoe?? oeyoii iiiieaiaeo
iaaeoiaeeoue aei i?eeiaeueii? /anoeie, ui neeaaea?oueny c
aiaeiai-oeeo?iaiai ia?aoai?thaa/a ? i?e?ieiio?iea?a (IE), ia aac? yeiai
?aae?ciaaiee aaaaoieaiaeueiee oeeo?iaee ocaiaeaeaiee o?eueo? (OeOO). O
OeOO i?iaiaeeoueny ei?aeyoe?eia ia?iaea noi?o? neaiae?a ainaiaeai
eiie?aoieo IAI (caaaeyee yeiio ? iiaeeeaa eiaeiaa ?icae?eaiiy eaiae?a)
a?aeiia?aeieo neaiaeai II. Ca?eueoaiiy /enea eaiae?a aieeaa? ia
aeinoia??i?noue ia?aaeaii? ?ioi?iaoe??, ui aeiaaa? canoinoaaiiy ainaiaey
IAI a?eueoi? aeiaaeeie (iaeeieoe? oa aeanyoee oeny/ neiaie?a). I?e
oeueiio no?oeoo?a OeOO noa? a?ii?caeeith (/enei eii??ie iai`yo? aeey
?aae?caoe?? o?eueo?o a?aeiia?aea? eiai ii?yaeeo).

A?eueo?noue no/anieo iioe?aieo a?aeiinii iaaei?iaeo IE iathoue
iia?aoeaiee caiai`yoiaoth/ee i?eno??e (ICI) i?noe?noth aei
iaeeieoeue-aeanyoe?a e?eiaaeo (IE c a?eueoei ianyaii ICI a?aeiinii
aei?ia? aai aeiaaathoue i?aeeeth/aiiy aeiaeaoeiaeo i?eno?i?a, ui ia
caaaeaee i?eeiyoia oa cieaeo? oaeaee?noue ia?iaee). C oeueiai
aeyaey?oueny aeooaeueiith (o oiio /ene? aeey i?aei?e?inoa
aa?ii?iieneiaiai eiiieaeno Oe?a?ie) caaea/a iaea?aeaiiy oaeeo no?oeoo?
OeOO, ui cae?eniththoue ei?aeyoe?eio ia?iaeo N?N c iaioei ianyaii ICI o
ii??aiyii? c i?yiith oi?iith ?aae?caoe?? OeOO.

Ca`ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie.

Iaoeiai-aeine?aeia ?iaioa ii oai? aeena?oaoe?? i?iaiaeeeany ca?aeii c
aea?aeathaeaeaoiith oaiith:

? 260 – 64 «Iao?e/i? ia?aoai?aiiy a oai??? i?iaeooaaiiy ??cieo eean?a
aeaeo?iiieo eaioetha?a» (?a?no?aoe?eiee ? 0196U0223193).

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoith ?iaioe ? ?ic?iaea niiniao
iaea?aeaiiy no?oeoo? OeOO, caaaeyee yeei cae?enith?oueny i?ioeaaeo?a
ei?aeyoe?eii? ia?iaee N?N c iaioei ianyaii ICI o ii??aiyii? c i?yiith
oi?iith ?aae?caoe?? OeOO.

Aeaia iaoa aeinyaa?oueny ae??oaiiyi ianooiieo caaea/:

-aiae?cii ?nioth/eo niinia?a iaea?aeaiiy no?oeoo?;

-i?aeaioiaeith iaoaiaoe/iiai aaceno iaea?aeaiiy ATFM (All possible
Transfer Function Matrix) ? BDSE (Block Delay Serial Elements) no?oeoo?
OeOO;

-?ic?iaeith niiniao iaea?aeaiiy ATFM no?oeoo? OeOO;

-?ic?iaeith niinia?a iaea?aeaiiy BDSE no?oeoo? OeOO oa iaoiaeeeith
nei?i/aiiy ianyao ICI i?e ?aae?caoe?? BDSE no?oeoo? ia IE;

-noai?aiiyi i?ia?aie, ui aeicaiey? iaea?aeoaaoe nenoaie N?N ?c caaeaieie
ei?aeyoe?eieie aeanoeainoyie;

-noai?aiiyi oa aeine?aeaeaiiyi iaoaiaoe/ii? iiaeae? NEC? II c
aeei?enoaiiyi neaiae?a c ?icoe?aiei niaeo?ii;

-aeaioiaeaiiyi o?ce/ii? iiaeae? NEC? oa ia?aa??eith ia i?e oai?aoe/ieo
?acoeueoao?a.

I?e aeine?aeaeaiiyo aeei?enoiaoaaeeny:

-iaoaiaoe/iee aia?ao oai??? iao?eoeue, eiia?iaoi?eee oa ??cieoeaaeo
??aiyiue;

-iaoaiaoe/ia iiaeaethaaiiy, yea i?iaaaeaii c aeei?enoaiiyi iiae
i?ia?aioaaiiy Visual Basic oa N++;

-o?ce/ia iiaeaethaaiiy, ui i?iaaaeaii ca aeiiiiiaith o?ce/ii? iiaeae?
NEC? c aeei?enoaiiyi iiae i?ia?aioaaiiy Assembler.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a iieyaa? o oiio, ui:

– ?ic?iaeaii oai?aoe/io aaco aei niinia?a iaea?aeaiiy no?oeoo?, o oiio
/ene? aeieacaii aea? oai?aie, eaiio oa oaa?aeaeaiiy;

– ae?noaee iiaeaeueoee ?icaeoie niiniae iaea?aeaiiy no?oeoo? OeO, a
naia, ?ic?iaeaii niin?a iaea?aeaiiy ATFM no?oeoo? OeOO c ATF iao?eoe?
ia?aaeaoi/ieo ooieoe?e;

– ?ic?iaeaii niin?a iaea?aeaiiy BDSE no?oeoo? OeOO;

– cai?iiiiiaaii iaoiaeeeo nei?i/aiiy ianyao ICI i?e ?aae?caoe?? OeOO ia
IE.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a iieyaa? o oiio ui iecea
iieiaeaiue ?iaioe aeei?enoiao?oueny o iaa/aeueiiio i?ioean? Iaeanueeiai
aea?aeaaiiai iie?oaoi?/iiai oi?aa?neoaoo ia eaoaae?? «Aeaeo?iii? oa
eiii`thoa?eciaai? nenoaie» i?e aeeeaaeaii? eo?n?a: «Aeaeo?iii? ?
i?iieneia? i?eno?i?» oa «Aeaeo?iii? nenoaie». ?acoeueoaoe, ye?
iaea?aeai? a aeena?oaoe??, aeei?enoai? a aaoiiaoeciaai?e nenoai?
aei??thaaiiy oa aiae?co iiey oaiia?aoo? ca?iiaeo eoeueoo? ia
i?aei?e?inoa? aea?aeaaii? aeoe?iia?ii? eiiiai?? «Oe?a Oe?a?ie».

Iniaenoee aianie caeiaoaa/a iieyaa? a aiae?c? ?nioth/eo niinia?a
i?iaeooaaiiy oeeo?iaeo o?eueo??a, iaoiae?a ou?eueiaiiy oa ?icae?eaiiy
eaiae?a ia?aaea/? ?ioi?iaoe??. Aaoi? ?ic?iaea iaoaiaoe/io iiaeaeue NEC?,
i?aeaiooaaa iaoaiaoe/iee aacen aeey iaea?aeaiiy no?oeoo? OeOO, ?ic?iaea
niiniae iaea?aeaiiy ATFM ? BDSE no?oeoo? OeOO oa iaoiaeeeo nei?i/aiiy
ianyao ICI i?e ?aae?caoe?? BDSE no?oeoo? OeOO. A iioae?eiaaieo i?aoeyo
?c ni?aaaoi?aie caeiaoaa/ai aeeiiaii: o ?iaioao [1,2] noai?aiiy
iaoaiaoe/ieo iiaeaeae NEC?, ?o aiae?c oa ocaaaeueiaiiy o [2]
eiino?oeoe??? aeaiiaeoeyoi?a; o ?iaio? [3] ?ic?iaeo niiniao ciaioaiiy
ICI, iiaeaethaaiiy OeOO oa eiai aeine?aeaeaiiy; o ?iaio? [5] caeiaoaa/ai
aeeiiaii aiae?c niinia?a ou?eueiaiiy ?ioi?iaoe??, noai?aiiy iiaeaeae; o
?iaio? [6] noai?aiiy i?ia?aie iaea?aeaiiy nenoai N?N ?c caaeaieie
ei?aeyoe?eieie aeanoeainoyie; o ?iaioao [1,5,6] noai?aiiy o?ce/ieo
iiaeaeae.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? iieiaeaiiy ? ?acoeueoaoe
aeena?oaoe?eii? ?iaioe aeiiia?aeaeeny ia ianooiieo eiioa?aioe?yo:

-«AAOIIAOEEA – 95», i. Euea?a ;

-«Iae?iiiua, ?aeyoi?iua e iai?a?uaiieiae/aneea naoe e iiaeaee», i.
Oeueyiianuee (?in?y);

-«Iaoea i inaioa», i. Iaeana ;

-«Nenoaiu e niiniau ia?aaea/e e ia?aaioee eioi?iaoeee» (NNIIE – 98), i.
Iaeana.

Ioae?eaoe??. Iniiai? ?acoeueoaoe ?iaioe a?aeia?aaeai? o o?noueio
ioae?eaoe?yo, i`youe – ?c ni?aaaoi?aie, iaeia – naiino?eii, o oiio
/ene?, a /ioe?ueio

iaoeiaeo noaooyo oa iaoa??aeao aeaio iaoeiaeo eiioa?aioe?e.

No?oeoo?a aeena?oaoe??. Aeena?oaoe?y neeaaea?oueny c anooio, /ioe?ueio
?icae?e?a, /ioe?ueio aeiaeaoe?a. Caaaeueiee ianya aeena?oaoe?? – 141
noi?., e?euee?noue aeiaeaoe?a – 4. Aeena?oaoe?y i?noeoue 19 ?enoie?a, 6
oaaeeoeue oa nienie aeaea?ae c 94 iaeiaioaaiue.

INIIAIEE CI?NO

O anooi? iaa?oioiaaia aeooaeuei?noue oaie, noi?ioeueiaaia iaoa ? caaea/?
aeine?aeaeaiue. Aeeeaaeai? iniiai? iaoeia? ? i?aeoe/i? ?acoeueoaoe, ui
io?eiai? a ?iaio?, iniiai? iieiaeaiiy, ui aeiinyoueny ia caoeno.

O ia?oiio ?icae?e? ?icaeyiooi niiniae neioaco OeO. A?aei?/aii ui
iniaeeao oaaao i?eae?ey?oueny iaea?aeaiith no?oeoo? OeO ca aeaieie
aiaeiaiaeo i?ioioei?a oa i?yiiio neioaco. I?iiiio?oueny caa?iooe a?eueoa
oaaae ia iao?e/i? iiaeae? OeO, ui aeicaieythoue ?aae?coaaoe aaia?aoe?th
iiiaeeie no?oeoo?, a?aeiia?aeieo ia?aaeaoi/i?e ooieoe?? o?eueo?a.
Caaaeath/e ia oa, ui a i?ioean? ?icaeoeo oaie aeena?oaoe??
i?eionea?oueny aeei?enoiaoaaoe iiaeaeue OeOO a oaeiae ?? ?aae?caoe?th ia
i?e?ii?ioeani?i?e oaoi?oe?, aeioe?eueii caaino?eoe oaaao ia i?yi?e oi?i?
?aae?caoe?? c iiaeeeaei canoinoaaiiyi ?? ??ciiaeae?a.

?icaeyiooi iniiai? i?eioeeie iiaoaeiae NEC? ? oeeo?iaeo o?eueo??a. NEC?,
yeo aeei?enoiaothoue aeey iaeii/anii? ia?aaea/? iia?aeiieaiue a?ae
aaaaoueio aeaea?ae, iaceaathoue aaaaoieaiaeueiith(?en.1).

Iia?aoe?yie, ui aeanoea? naia aaaaoieaiaeueiei nenoaiai, ? iia?aoe??
ou?eueiaiiy eaiae?a (neaiae?a) oa ?oiueiai ?icae?eaiiy. Nooo?a?noue
iia?aoe?? ou?eueiaiiy iieyaa? a oiio, ui eiaeiiio iia?aeiieaiith a?ae
aeaea?aea ?ioi?iaoe?? (Ae?) Xi(t) noaaeoueny a iaeiicia/io
a?aeiia?aei?noue eaiaeueiee neaiae Si(t), iaae?eaiee a?ae??ciyth/eie
iciaeaie. I?ney oeueiai ia i?aenoaa? on?o Si(t) oi?io?oueny
aaaaoieaiaeueia iia?aeiieaiiy

S( (t)=({Si (t)}, ?=1,2,3,. . .,N , (1)

aea (- iia?aoi? ia?aoai?aiiy eaiaeueieo neaiae?a;

N – /enei eaiae?a aaaaoieaiaeueii? nenoaie;

I?eno??e ?icae?eaiiy eaiae?a, io?eiaaoe ia ao?ae iia?aeiieaiiy S(((t),
?icae?ey? eiai ia eaiaeuei? neaiaee Si((t), a?oiooth/enue ia
cacaeaeaa?aeue a?aeiieo a?ae??ciyth/eo iciaeao, i?ney oeueiai
a?aeia?aaea? Si((t) a Xi((t) ? ni?yiiao? Xi((t) a?aeiia?aeiiio
iaea?aeoaa/o ?ioi?iaoe?? (I?).

?icaeyiooi iniiai? oa?aeoa?enoeee N?N ? eaiae?a ia?aaea/? ?ioi?iaoe??,
aeanoeaino? I-iine?aeiaiinoae. Anoaiiaeaia aeioe?euei?noue canoinoaaiiy
I-iine?aeiaiinoae a NEC?. Cai?iiiiiaaii iiaeaeue NEC? c aeei?enoaiiyi
N?N. Aeae?eaii ia`?eo aeine?aeaeaiue – aeaiiaeoeyoi? N?N, ui iaeaaeeoue
i?eeiaeuei?e /anoei? nenoaie.

?en. 1. Aaaaoieaiaeueia nenoaia cae?aiiy ?ioi?iaoe??

Ae?oaee ?icae?e i?enay/aii ieoaiith iaea?aeaiiy no?oeoo? OeOO. Ii?ooaii
ieoaiiy i?aaenoaaeaiiy OeOO o iao?e/iiio aeaeyae?, aaaaeaii iiiyooy
ia?aaeaoi/ii? ooieoe?? a?eie noaie o?eueo?o c cao?eieith oa c iino?eiei
eiao?oe??ioii.

?aaeoe?th aeo?aeiiai neaiaeo Y (z) OeOO ia ao?aeiee neaiae X (z) iiaeia
i?aaenoaaeoe o aeaeyae?:

, (2)

aea Ot (z) ? iao?eoeath ia?aaeaoi/ieo ooieoe?e eaioethaa.

.

(3)

aea A – iaeeie/ia iao?eoey ?ici??o n*n;

qc- iao?eoey ?ici??o n*n c eiao?oe??ioa a?eie eaioethaa ia?oiai
ii?yaeeo;

– ATF iao?eoeath (ia ?en.2 a?aeiia?aeii (3)), a no?oeoo?e OeOO,
io?eiai? ia ?? iniia? – ATFM no?oeoo?aie. A naith /a?ao, a?aeiii, ui
ia?aaeaoi/ia ooieoe?y oeeo?iaiai o?eueo?o, ca oiiae ui ao?aeiei ? aocie
1, a aeo?aeiei n:

, (4)

oeyoii aee?anethaaiiy m-ai ?yaeea ? n-ai noiai/eea iao?eoe? ?en.2, a
(= 1.

?en. 2. ATF iao?eoey OeOO

Iao?eoey, iaea?aeaia i?ney aee?aneaiiy ia?oiai ?yaeea oa inoaiiueiai
noiaioey ATF iao?eoe?, yaey? niaith oanaiaa?aiao iao?eoeth c iaeeieoeyie
o iaaeaieiai?e ae?aaiiae?. I?aeaioiaeaii iaoaiaoe/iee aacen aei
iaea?aeaiiy ATFM oa BDSE no?oeoo?, a naia aeiaaaeai?:

1.Eaiia: Aecia/iee iao?eoe? Oanaiaa?aa n-ai ii?yaeeo c iaeeie/iith
iaaeaieiaiith ae?aaiiaeeth (aeaaa?a?/ia aeiiiaiaiiy A1n ATF iao?eoe?)
neeaaea?oueny c 2n-1 aeiaeaie?a.

.

3.Oai?aia: sseui A – iao?eoey Oanaiaa?aa c iaeeie/iith iaaeaieiaiith
ae?aaiiaeeth, oi e?euee?noue aeiaeaie?a, ui ia i?noyoue aeaiaioe
aieiaii? ae?aaiiae?, cia?aaeathoue /eneiao iine?aeiai?noue o ye?e
eiaeiee /eai aei??aith? noi? aeaio iiia?aaei?o.

4.Oaa?aeaeaiiy i?i iaiao?aei?noue neeaaeo aeaaa?a?/iiai aeiiiaiaiiy A1n
ATF iao?eoe? c aeiaeaie?a c e?euee?noth iiiaeiee?a c n aei 1.

Aeniiaie: Oeeo?iaiio o?eueo?o c ia?aaeaoi/iith ooieoe??th (5),
iaeiicia/ii a?aeiia?aea? aeaaa?a?/ia aeiiiaiaiiy ATF iao?eoe?, ui
i?noeoue iaioeueia? aeaiaioe ia aieiai?e ? o?eueee ii iaeiiio ia on?o
i?aeaieiaieo ae?aaiiaeyo.

Aeey i?aeaioiaee aei ??oaiiy caaea/ no?oeoo?iiai neioaco ATFM no?oeoo?
iaiao?aeii i?ieoe aoaie:

– ia?aaeaoi/i? ooieoe?? i?ae aoceaie m ? n, a?aeiia?aeathoue aai a?eeai
c iino?eiei eiao?oe??ioii i?aeneeaiiy aai a?eeai ?c cao?eieith.

2.Oi?iae?caoe?? no?oeoo?ieo ca`yce?a – iao?eoey ?en.2.

3.Oi?iae?caoe?? no?oeoo?ii? (oe?eueiai?) ooieoe??: a?aeiia?aei?noue noi,
iaea?aeaieo i?e ia/eneaii? aecia/ieea iao?eoe? ?en.2. noiai o ae?ac?

, (5)

aea L – aeiaaeeia N?N;

a – iiiaeieee ia iino?eiee eiao?oe??io.

Cai?iiiiiaaii niin?a iaea?aeaiiy ATFM no?oeoo? OeOO c ATF iao?eoe?, ui
neeaaea?oueny c ianooiieo aoai?a:

1. Aeey ia?aeo?neaiiai o?eueo?o neeaaea?ii ATF iao?eoeth ii?yaeeo N c
on?o iiaeeeaeo ia?aaeaoi/ieo ooieoe?e a?eie o?eueo?o (?en.2). Caaaeueiei
o?aaiaioii aeey oeeo no?oeoo? ? aeaiaioe aieiaii? ae?aaiiae? iao?eoe?.

aeiaeaie?a. Aecia/a?ii e?euee?noue aeiaeaie?a c iaeiaeiaith
e?euee?noth iiiaeiee?a.

oaeei /eiii, uia aei eiaeii? eiia?iaoe?? aoiaeeee aeiaeaiie c ??ciith
e?euee?noth iiiaeiee?a (ii iaeiiio aeiaeaieo c: iaeiiai iiiaeieea, c
aeaio, c o?ueio ? oae aei n-1 i?e ii?yaeeo iao?eoe? n).

4. Aeae?a?ii /a?aiao eiia?iaoe?th (no?oeoo?o)

5. Ioe?ith?ii aa??aio.

ia?aaea/? a?eee aai ia?aaea/? ?c cao?eieith.

6. Ia?aoiaeeii aei i. 4 ? iiaoi?th?ii i?ioeaaeo?o neioaco aei oeo i??,
aeiee ia cae?enieii iiaiee ia?aa??.

?icaeyiooi eiie?aoiee i?eeeaae iaea?aeaiiy no?oeoo? OeOO 3-ai ii?yaeeo.
?acoeueoaoii oeueiai ? ??ciiiai?ooy no?oeoo? ia ?en.3.

?en.3. ??ciiiai?oi?noue ATFM no?oeoo? OeOO

O?ao?e ?icae?e i?enay/aii niiniao iaea?aeaiiy BDSE no?oeoo? ? i?ioeano
iiooeo oa neio?ii?caoe?? N?N c ?oi?i aeei?enoaiiyi. ?icaeyiooi iiaoaeiao
aeaiiaeoeyoi?a (iioeiaeueiiai i?eeia/a) N?N.A eiai neeaae aoiaeeoue
ocaiaeaeaiee o?eueo? aai ei?aeyoi? oa ae??oaeueiee i?eno??e, ui aecia/a?
neiaie ?ioi?iaoe??, yeee ia?aaea?oueny. Ae??oaii canoinoaaoe OeOO a
aeaiiaeoeyoi?? N?N i?ae /an aoiaeaeaiiy o neio?ii?ci oa iiaeaeueoi?
neio?ii?caoe??.

Aecia/ai? iniiai? aacia? oa?aeoa?enoeee oa cai?iiiiiaaii niin?a
iaea?aeaiiy BDSE no?oeoo? OeOO.

Oi?iae?caoe?y caaaeaiiy ia no?oeoo?iee neioac ianooiia:

1. Oi?iae?caoe?y no?oeoo?iiai aaceno a?aeiia?aea? aaceno ATFM no?oeoo? ?
aeiiiaith?oueny aeaiaioii – aeieii BDSE.

2. ?acoeueoao oi?iae?caoe?? no?oeoo?ieo ca`yce?a iiaeia i?aaenoaaeoe o
aeaeyae? iaai?o ATFM no?oeoo?, io?eiaiiai o ?acoeueoao? neioaco
(?icae.2).

3. No?oeoo?ia ooieoe?y – iaai?e aeiaeaie?a a?aeiia?aei? e?eoa??yi BDSE
no?oeoo?, aeeeaaeaiei o ?icae?e? 2. Ooieoe?y – iaiaaeaiiy: iaeneiaeueia
e?euee?noue aeaiaio?a o neeaae? BDSE aeieo.

Aoaie iaea?aeaiiy BDSE no?oeoo?

Ae??ooaaoe caaea/o neioaco aoaeaii o ?aieao aeae?eaiiy aa??aioo c
oeiiaeo no?oeoo?.

Ii caaeai?e IAI aeiaaeeiith N aoaeo?ii eaaae?aoio iao?eoeth on?o
iiaeeeaeo ia?aaeaoi/ieo ooieoe?e a?eie o?eueo?o ? aeeiio?ii iine?aeiaii
i.1-6 (iaea?aeaiiy ATFM no?oeoo?).

2. Aeae?a?ii /a?aiao no?oeoo?o.

3. Ae?iaey?ii ioe?ieo ia iaeaaei?noue aei BDSE no?oeoo?e.

4. I?eeia?ii ??oaiiy, yeui oea BDSE, oae caa?aaeaiiy.

5. Ia?ao?ae aei i.2. I?iaeiaaeoaaoe, iiee ia aoaea cae?eniaii iiaiee
ia?aa??.

6. C a?ae?a?aieo no?oeoo? ?iaeoueny ni?ooaaiiy o caeaaeiino? a?ae
aeiaaeeie aeieo BDSE.

I?eeeaaeii BDSE no?oeoo? ? no?oeoo?e ?en.3(a) oa (a). Cai?iiiiiaaiee
niin?a iaea?aeaiiy BDSE no?oeoo? aeiaaa? /eiaeeo cao?ao /ano aeey
cae?eniaiiy iiaiiai ia?aai?o, oiio ? aeioe?eueiei canoinoaaiiy a?eueo
oaeaeeeo niinia?a neioaco. I?e aeei?enoaii? a i?eeiaeuei?e /anoei?
nenoai cae?aiiy ?ioi?iaoe?? i?yii? oi?ie OeOO i?ioean aei??thaaiiy
cao?eiee ao?aeiiai neaiaeo a?aeiia?aea? ??cieoeaaiio ??aiyiith:

(6)

aea x (n) – a?aee?ee ao?aeiiai neaiaeo;

y (n) – a?aee?ee aeo?aeiiai neaiaeo;

h (i) – eiao?oe??ioe iiiaeiee?a.

Iaiao?aeii ia/eneeoe 2L-1 ?ioa?aae?a iaaecia/aiino?. Ia ?en.4,a iieacaia
ae?aa?aia i?ioeano aoiaeaeaiiy o neio?ii?ci OeO, ocaiaeaeaiiai c
iine?aeiai?noth aeiaaeeiith L=7, ui iieno?oueny ??aiyiiyi (6).

I?iiiio?oueny aeei?enoaoe BDSE no?oeoo?e aeey eiino?othaaiiy
niaoe?aeueieo OeOO, a yeeo cai?noue aeie?a iine?aeiaieo U aeaiaio?a
cao?eiee (D=U+1 eii??ie iai`yo?) i?iiiio?oueny canoiniaoaaoe iaeei
aeaiaio cao?eiee.

I?eaaaeaii iaoiaeeeo ciaioaiiy eii??ie iai`yo? i?e ?aae?caoe?? BDSE
no?oeoo?, yea ie??i ae?e, iia`ycaieo c iaea?aeaiiyi no?oeoo?, aaco?oueny
ia oiio, ui /enei eii??ie, iaiao?aeieo aeey ?aae?caoe?? OeOO iiaeia
i?aaenoaaeoe o aeaeyae?:

S=K+M+I , (7)

aea I – e?euee?noue noiaoi??a (a?oi);

E – e?euee?noue iiiaeiee?a o a?oi? ?

K*M+I aei??aith? L – aeiaaeei? IAI.

I=0, yeui aeiaaeeia IAI – neeaaeaia /enei

1 2 3

n-2 n-1

2 -T12 1 0 … 0 0

3 -T13 -T23 1 … 0 0

… … … … … …

n-1 -T1, n-1 0 0 … -Tn-2, n-1 1

n -T1 n 0 0 … 0 -Tn-1, n

?en. 4. Iao?eoey, ui a?aeiia?aea? aaceni?e no?oeoo?? OeOO

I=/enei (/ano?oa ca ana 1), yeui aeiaaeeia IAI – i?inoa /enei.
Aaiaeeoueny iicia/aiiy no?oeoo? o aeaeyae? (E-I-I). Iai?eeeaae,
no?oeoo?o i?yii? oi?ie o?eueo?o, ae?aa?aia i?ioeano ei?aeyoe?eii?
ia?iaee yei? ia ?en.5(a) iicia/eii

7-1-0. Cai?iiiiiaaii niin?a iaea?aeaiiy BDSE no?oeoo? c aaciai?
no?oeoo?e.

Oi?iae?caoe?y caaaeaiiy ia no?oeoo?iee neioac:

No?oeoo?iee aacen neeaaea?oueny c iao?eoe? aaciai? no?oeoo?e (?en.4),
io?eiaii? c ATFM.

No?oeoo?i? ca`ycee – aieiaia ae?aaiiaeue iao?eoe? caeeoa?oueny aac ci?i,
oiio ui ?? aeaiaioe a?aeiia?aeathoue aeaiaioai cao?eiee (a ?o
e?euee?noue ia ci?ith?oueny). I?aeaieiai? ae?aaiiae? ci?iththoueny, aea
oae uia ia ieo caeeoeeinue ii iaeiiio aeaiaioo.

No?oeoo?ia ooieoe?y – BDSE no?oeoo?a. Ooieoe?y iaiaaeaiiy – iaeneiaeueia
aeiaaeeia aeiea.

Aoaie iaea?aeaiiy BDSE no?oeoo? c aaciai? no?oeoo?e:

Aea?? aaciai? no?oeoo?e.

I?aaenoaaeaiiy o aeaeyae? (K-M-I) ca?aeii (7).

Caiiaiaiiy E-ai,2E-ai, . . ,IE-ai ?yaee?a aei aeaiaio?a Oe,e+1 ca
?aooiie iaioeaiiy E-1,E-2, . . ,E-(E-1), 2E-1,2E-2, . . ,2E-(E-1),
IE-1,IE-2…, IE-(E-1) ?yaee?a (e??i aieiaii? ae?aaiiae?).

Eiia?ioth/e I oa E, iiaeia iaea?aeoaaoe iia? no?oeoo?i? noaie OeOO, a
oiio /ene? ?c iaioith e?euee?noth eii??ie iai`yo? o ii??aiyii? ?c
i?yiith oi?iith ?aae?caoe??. I?e oeueiio aeiaaa?oueny a?eueoa o
ii??aiyii? c i?yiith oi?iith NO /ano aeey aoiaeaeaiiy o neio?ii?ci. Ia
?en.5(a) iieacaia ae?aa?aia i?ioeano aoiaeaeaiiy o neio?ii?ci aeey BDSE
no?oeoo?e 2-3-1 c aeaiia iine?aeiaieie aeaiaioaie cao?eiee a?aeiia?aeii
c (7). Oeeo?ai ii in? n a?aeiia?aeathoue Xi – a?aee?ee ao?aeiiai
neaiaeo; ai?eciioaeueieie e?i?yie c aa?oeeaeueieie can?eaie iicia/ai?
?ioa?aaee iaaecia/aiino? aai aeo?aei? a?aee?ee Y(n); ii aa?oeeaeuei?e
in? ( a?aeeeaaeaii iiia?e c?ooaiue I-iine?aeiaiino?, yeith
i?iiiaeoeueiaaii ?ioi?iaoe?eiee neaiae. I?ioean aoiaeaeaiiy o neio?ii?ci
ii/eia?oueny c aaaaeaiiy a aeaiiaeoeyoi? ao?aeiiai a?aee?eo O1 oa
cae?i/o?oueny i?ney aaaaeaiiy a?aee?eo O13, oiaoi ii cae?i/aii?
i?ioiaeaeaiiy 2L-1=2*7-1=13 ?ioa?aae?a iaaecia/aiino? (ia ?en.5,a ia
iieacai? aeo?aei? a?aee?ee Y1 – Y6 o aeaeyae? iaiiaiiai iaai?o ao?aeieo
a?aee?e?a). Iai?eeeaae, ai?eciioaeuei?e e?i??, ui ii/eia?oueny iaai?ioe
2 oa ui cae?i/o?oueny iaai?ioe 8, a?aeiia?aea? aeo?aei?e a?aee?e
Y(8)=X8h1+X7h2+X6h3+X5h4+ +X4h5+X3h6+X2h7. I?e ?aae?caoe??? BDSE
no?oeoo?, o caaaeueiiio aeiaaeeo (6) iaaoaa? aeaeyaeo

j=0,1,2,3… (8)

aea E oa I a?aeiia?aeathoue (7);

( – iicia/ea «aai»

?en.5. Ae?aa?aia i?ioeano aoiaeaeaiiy o neio?ii?ci:

a) i?yia oi?ia OeOO; a) BDSE no?oeoo?a 2-3-1; a) BDSE no?oeoo?a 3-2-1

?acii c ia?aaaaith ADSE no?oeoo? i?e ?aae?caoe?? aeei?enoiaoaaoe iaioo
e?euee?noue eii??ie iai`yo? o ii??aiyii? c o?aaeeoe?eieie, ? i?ia?ao – o
/an? aoiaeaeaiiy aei neio?ii?cio, aea oea iiaea aooe ia iano?eueee
e?eoe/ii, iai?eeeaae i?e cae?aii? ?ioi?iaoe?? aeao/ee?a oaiia?aoo?e,
oeneo oa o.?i. O oaa.1 iieacaii caeaaei?noue caaaeueii? e?eueeino?
oiiaieo eii??ie iai`yo? S a?ae eiia?iaoe?e I oa E (7) aeey IAI
aeiaaeeiith 15 neiaie?a (O-/enei ia??iae?a aoiaeaeaiiy aei neio?ii?cio).

Oaaeeoey 1

Caeaaei?noue e?eueeino? eii??ie iai`yo? S a?ae I oa E

L K M I S T

15 1 15

16 2

– 2 7 1 10 3

– 3 5

8 4

– 5 3

8 6

– 7 2 1 10 8

– 15 1

16 2

Ia ?en.6 cia?aaeaii a?ao?ee caeaaeiino? L/S a?ae aeiaaeeie IAI, c yeiai
aeaeii ui aea?ao e?eueeino? oiiaieo eii??ie iai`yo? i?e canoinoaaii?
BDSE no?oeoo? c? c?inoaiiyi L iaaeeaeo?oueny aei E.

?en.6. A?ao?e caeaaeiino? L/S a?ae L

O /aoaa?oiio ?icae?e? cai?iiiiiaaia ?aae?caoe?y oai?aoe/ieo iieiaeaiue
ae?oaiai oa o?aoueiai ?icae?e?a. Iaaaaeaiee iien ?iaioe i?ia?aiii?
iiaeae? NEC? c aeei?enoaiiyi N?N. Aiia neeaaea?oueny c iiaeoeae:
ia/eneaiiy oaeaeeino? ia?aaea/? neaiaeo a caeaaeiino? a?ae e?eueeino?
?ioi?iaoe?eieo eaiae?a, aaia?aoe?? IAI, iiaeoeyoe?? neaiaeo, noiaoi?a,
aaaaeaiiy ia?aoeiaee, aeaiiaeoeyoi?a ia aac? OeOO. Iaaaaeaii ?acoeueoaoe
aenia?eiaio?a aeey ??cii? e?eueeino? eaiae?a. Cai?iiiiiaaii i?ia?aio
iaea?aeaiiy nenoai N?N ?c caaeaieie aeanoeainoyie, iai?eeeaae –
iaeneiaeueiei i?eii aca?iiei?aeyoe?eii? ooieoe??,

?icaeyiooi i?ia?aiio iiaeaeue «Neioac no?oeoo? ocaiaeaeaieo o?eueo??a»,
ui ?aae?co? niin?a iaea?aeaiiy ATFM ? BDSE no?oeoo? OeOO, o oiio /ene? c
aaciai? no?oeoo?e. I?eaaaeaii aeai? i?i aea?ao o e?eueeino? eii??ie
iai`yo? i?e ?aae?caoe?? BDSE no?oeoo? ia eie?aoiiio IE. Cai?iiiiiaaii
eiino?oeoe?th aeaiiaeoeyoi?a N?N (?en.7), ui neaiiaeoue eiia?iaoe?th
OeOO (neio?ii?caoi?a) oa ei?aeyoi?a. OeOO cae?enith? aoiaeaeaiiy o
neio?ii?ci oa i?aeo?eio? neio?ii?caoe?th, ea?oth/e ei?aeyoi?ii.

X(n) – ao?aeiee neaiae

Y(n) – aeo?aeiee neaiae

AI – ae??ooth/ee i?eno??e

IE – i?eno??e ea?oaaiiy

Ei?aeyoi?:

AIN – aaia?aoi? iii?iiai neaiaeo

O – ia?aiiiaeoaa/ neaiae?a

I – iaeiie/oaa/

?en.7. Aeaiiaeoeyoi? N?N c aeei?enoaiiyi BDSE no?oeoo? OeOO

I?eaaaeaii ?acoeueoaoe ?iaioe iaoaiaoe/ii? iiaeae? NEC? c aeei?enoaiiyi
aeaiiaeoeyoi?a N?N. Iaaaaeaii iien o?ce/ii? iiaeae? nenoaie ia aac?
i?e?ieiio?iea?a oa ?acoeueoaoe aenia?eiaioaeueieo aeine?aeaeaiue.

AENIIAEE

Aeeiiaia aeena?oaoe?eia ?iaioa yaey? niaith ae??oaiiy eiiieaeno caaea/,
ui iathoue iaoeiaa oa i?aeoe/ia cia/aiiy.

Iieacaii i?noea NEC? II o ainiiaea?/iio eiiieaen? Oe?a?ie.

Iaa?oioiaaii aeioe?euei?noue aeei?enoaiiy i?eioeei?a eiaeiaiai
?icae?eaiiy oa N?N o NEC? II. Oea aeicaieeoue aeiaeoeny: aeiiii??
eieuei?iaeo iaoae?a oa ?ioeo iaoa??ae?a, ui aoiaeyoue aei neeaaeo
eaaaeueii-i?iaiaeieeiai? i?iaeoeoe??; iiaeeeaino? ?iaioe c a?eueoith
e?euee?noth II oa iiaeeeaino? ci?ie no?oeoo?e nenoaie cae?aiiy
?ioi?iaoe?? c iaioeie aeo?aoaie o ii??aiyii? c o?aaeeoe?eieie NEC?.

Aeiaaaeaii aeooaeuei?noue caaea/? iaea?aeaiiy oaeeo no?oeoo? OeOO, ui
cae?eniththoue ei?aeyoe?eio ia?iaeo N?N c iaioei ianyaii ICI o
ii??aiyii? c i?yiith oi?iith ?aae?caoe?? OeOO.

I?iaiae?ciaaii oeie no?oeoo? OeOO oa i?iaaaeaii ooi/iaiiy iiaeae? NEC?
noiniaii ia?iaee N?N. Aeae?eaii iiaeoeue nenoaie, ui iio?aao?
aeiii?aoethaaiiy (aeaiiaeoeyoi? N?N).

I?aeaioiaeaii iaoaiaoe/iee aacen aeey iaea?aeaiiy no?oeoo? OeOO, a oiio
/ene? aeieacaii: eaiio, aea? oai?aie oa oaa?aeaeaiiy.

Ii?ooaii ieoaiiy i?aaenoaaeaiiy OeOO o iao?e/iiio aeaeyae?. Aaaaeaii
iiiyooy ATF iao?eoe?, ui neeaaea?oueny c on?o iiaeeeaeo ia?aaeaoi/ieo
ooieoe?e a?eie noaie o?eueo?o.

Cai?iiiiiaaii niiniae iaea?aeaiiy ATFM ? BDSE no?oeoo? OeOO, niin?a
iaea?aeaiiy BDSE no?oeoo? c aaciai? no?oeoo?e.

Cai?iiiiiaaii iaoiaeeeo canoinoaaiiy BDSE no?oeoo? aeey iiaoaeiae OeOO,
ui cae?eniththoue ei?aeyoe?eio ia?iaeo c iaioei ianyaii ICI o ii??aiyii?
c i?yiith oi?iith OeOO.

?ic?iaeaii iaoaiaoe/io oa o?ce/io iiaeaeue NEC? c aeei?enoaiiyi N?N.
Ia?iaea neaiae?a o i?e cae?enith?oueny aeaiiaeoeyoi?ii eiia?iiaaiiai
oeio: c aeei?enoaiiyi OeOO (BDSE no?oeoo?) oa ei?aeyoi?a.

Noai?aii i?ia?aiio iiaeaeue «Neioac no?oeoo? ocaiaeaeaieo o?eueo??a», ui
?aae?co? niin?a iaea?aeaiiy ATFM ? BDSE no?oeoo? OeOO.

Noai?aii i?ia?aio iaea?aeaiiy nenoai N?N ?c caaeaieie ei?aeyoe?eieie
aeanoeainoyie.

?acoeueoaoe cai?iiiiiaaieo ??oaiue i?aeoaa?aeaeai? iaoaiaoe/iei
iiaeaethaaiiyi ia AII ? o?ce/iei iiaeaethaaiiyi ca aeiiiiiaith
i?e?ii?ioeani?iiai iiaeoey.

Aeioe?eueii aeei?enoaiiy ?ic?iaeaieo no?oeoo? o?eueo??a ia o?eueee c
N?N, a ? c ?ioeie neaiaeaie. ?acoeueoaoe aeena?oaoe?? iiaeooue aooe
ai?iaaaeaeai? ia o?eueee o i?aei?e?inoaa oa?/iai? i?iieneiaino?, aea ? a
?io? aaeoc? ainiiaea?/iai eiiieaeno Oe?a?ie, aea canoiniao?oueny
cae?aiiy oa ia?iaea ?ioi?iaoe?? ia?aeiieo ia?aoai?thaa/?a.

NIENIE IIOAE?EIAAIEO I?AOeUe

CA OAIITH AeENA?OAOe??

Oooaaa Y.E., Oieieianeee A.A. Ia?aaioea neaiaeia ia?ae/iuo
i?aia?aciaaoaeae // O?oaeu Iaeanneiai iieeoaoie/aneiai oieaa?neoaoa.-
Iaeanna: IAIO. – Aui.2(6). – 1998. – N. 85 – 86.

2. Ooo??a A.?., Oieieianueeee I.A. Oeeo?iaee ocaiaeaeaiee o?eueo? o
nenoai? aeaeiaeoaaiiy neaiae?a c ?icoe?aiei niaeo?ii //
I?eaei?i?ianueeee iaoe. a?niee. – 1998. – ?26(93). – N. 36-37.

3. Iaeaoia A.I., Oieieianeee A.A., Oooaaa Y.E. Oiaiueoaiea iau?ia
iia?aoeaiiai caiiieiathuaai ono?ienoaa i?e ?aaeecaoeee oeeo?iaiai
niaeaniaaiiiai oeeueo?a // I?eaei?i?ianueeee iaoe. a?niee.-1998. –
?90(157) – N. 18-21.

4. Oieieianueeee I.A. Iaea?aeaiiy no?oeoo? oeeo?iaeo ocaiaeaeaieo
o?eueo??a // I?eaei?i?ianueeee iaoe. a?niee. – 1998.- ?72(139). – N.
51-57.

Oooaaa Y.E., Oieieianeee A.A. Iiaeaee?iaaiea nenoai nai?a eioi?iaoeee
ia?ae/iuo i?aia?aciaaoaeae // I?aoe? ae?oai? oe?a?inueei? eiioa?aioe?? c
aaoiiaoe/iiai ea?oaaiiy (Aaoiiaoeea – 95). – Euea?a, 1995. – N.25-26.

Iaeaoia A.I., Oieieianeee A.A., Oooaaa Y.E. I?eiaiaiea aiaeiaiaiai
iiiieaiaea a nenoaia nai?a eioi?iaoeee // O?oaeu iaaeaeoia?iaeiie
iao/ii-oaoie/aneie eiioa?aioeee «Iae?iiiua, ?aeyoi?iua e
iai?a?uaiieiae/aneea naoe e iiaeaee». – Oeueyiiane: OeAOO. – 1998. -O.3.
– N. 86-87.

AIIOAOe?ss

Oieieianueeee I. A. Oeeo?ia? o?eueo?e neaiae?a c ?icoe?aiei niaeo?ii o
nenoaiao ea?oaaiiy cae?aiiyi ?ioi?iaoe??. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy a/aiiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe c?
niaoe?aeueiino? 05.13.05. – Aeaiaioe oa i?eno?i? ia/enethaaeueii?
oaoi?ee oa nenoai ea?oaaiiy. – Iaeanueeee aea?aeaaiee iie?oaoi?/iee
oi?aa?neoao, Iaeana, 1999.

Aeena?oaoe?y i?enay/aia ieoaiith noai?aiiy no?oeoo? oeeo?iaeo
ocaiaeaeaieo o?eueo??a aeey nenoai ea?oaaiiy cae?aiiyi ?ioi?iaoe?? c
aeei?enoaiiyi neaiae?a c ?icoe?aiei niaeo?ii ? cania?a aeey ?oiueiai
aeine?aeaeaiiy. Cai?iiiiiaaii: niin?a iaea?aeaiiy ATFM oa BDSE no?oeoo?
oeeo?iaeo ocaiaeaeaieo o?eueo??a. BDSE no?oeoo?e aeicaieythoue
cae?enithaaoe i?ioeaaeo?o aoiaeaeaiiy o neio?ii?ci c aeei?enoaiiyi
iaioiai ianyao iai`yo?, ii??aiyii c i?yiith oi?iith ocaiaeaeaieo
o?eueo??a oa i?ia?aiio iiaeaeue ? i?e?ii?ioeani?iee iiaeoeue aeey
aeine?aeaeaiiy nenoai ea?oaaiiy cae?aiiyi ?ioi?iaoe?? c aeei?enoaiiyi
neaiae?a c ?icoe?aiei niaeo?ii.

Eeth/ia? neiaa: neaiaee c ?icoe?aiei niaeo?ii, no?oeoo?iee neioac,
iao?eoey ia?aaeaoi/ieo ooieoe?e, oeeo?iaee ocaiaeaeaiee o?eueo?

AIIIOAOeEss

Oieieianeee A.A. Oeeo?iaua oeeueo?u neaiaeia n ?anoe?aiiui niaeo?ii a
nenoaiao oi?aaeaiey nai?ii eioi?iaoeee. – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/?iie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.13.05 – Yeaiaiou e ono?ienoaa au/eneeoaeueiie
oaoieee e nenoai oi?aaeaiey.- Iaeanneee ainoaea?noaaiiue iieeoaoie/aneee
oieaa?neoao, Iaeanna, 1999.

Iaeiie ec aaaeiaeoeo io?aneae i?eiaiaiey yeaeo?iieee yaeyaony nai?
eioi?iaoeee ia?ae/iuie i?aia?aciaaoaeyie (II), a? ia?aaea/a e ia?aaioea.

Yoe i?ioeannu inouanoaeythony iiae oi?aaeythony ono?ienoaaie oi?aaeaiey
e eiio?iey. Aaaeiie yaeyaony caaea/a nai?a eioi?iaoeee aieueoiai /enea
II, iaeiei ec i?eia?ia i?eiaiaiey eioi?uo anoue nii?oaeaiey aeey
o?aiaiey aieueoeo iann ca?iiauo eoeueoo?, eioi?ua iai?oaeiaaiu
iiiaeanoaii II aeaaeiinoe, oaiia?aoo?u e o.ae. I?eiaiaiea II o?aaoao
niioaaonoaothuaai /enea eeiee nayce e eiiiooaoi?ia iaaeaeo II e nenoaiie
oi?aaeaiey nai?ii eioi?iaoeee (NONE), /oi i?eaiaeeo e nieaeaieth
iaae?aeiinoe, ?aiiioii?eaiaeiinoe, iiiaoionoie/eainoe.

Aeenna?oaoeey iinayuaia aii?ino nicaeaiey no?oeoo? niaeaniaaiiuo
oeeueo?ia aeey nenoai oi?aaeaiey nai?ii eioi?iaoeee n eniieueciaaieai
neaiaeia n ?anoe?aiiui niaeo?ii (N?N) e n?aaenoa aeey eo enneaaeiaaiey.
Iainiiaaii i?eiaiaiea a nenoaiao oi?aaeaiey nai?ii eioi?iaoeee i?eioeeia
eiaeiaiai ?acaeaeaiey eioi?iaoeee a iauai eaiaea (iiiieaiaea). Yoi
iicaieeo aeiaeoueny: yeiiiiee oeaaoiuo iaoaeeia e niioonoaothueo
iaoa?eaeia, aoiaeyueo a ninoaa eaaaeueii-i?iaiaeieeiaie i?iaeoeoeee;
aiciiaeiinoe ?aaiou n aieueoei /eneii eaiaeia e aiciiaeiinoe eciaiaiey
no?oeoo?u nenoaiu nai?a eioi?iaoeee n iaeiaiueoeie cao?aoaie.

Eniieuecoy nia?aiaiiua iee?ieiio?ieea?u, aeooaeece?oaony caaea/a
iieo/aiey oaeeo no?oeoo? oeeo?iauo niaeaniaaiiuo oeeueo?ia, eioi?ua
inouanoaeytho ei??aeyoeeiiioth ia?aaioeo N?N n iaiueoei iau?iii ICO ii
n?aaiaieth n i?yiie oi?iie ?aaeecaoeee. I?iaaaeai aiaeec nouanoaothueo
niiniaia iieo/aiey no?oeoo? oeeo?iauo niaeaniaaiiuo oeeueo?ia(OeNO),
iainiiaaii i?aaenoaaeaiea OeNO a iao?e/iii aeaea, aaaaeaii iiiyoea ATF
iao?eoeu anaaiciiaeiuo ia?aaeaoi/iuo ooieoeee aaoaae noaiu oeeueo?a n
caaea?aeeie e n iinoiyiiui eiyooeoeeaioii. Iiaeaioiaeai iaoaiaoe/aneee
aacen e niiniaai iieo/aiey ATFM e BDSE no?oeoo?. I?aaeeiaeai niinia
iieo/aiey ATFM no?oeoo? ec ATF iao?eoeu niaeaniaaiiuo oeeueo?ia, BDSE
no?oeoo? oeeo?iauo niaeaniaaiiuo oeeueo?ia, iicaieythueo
inouanoaeyoue i?ioeaaeo?o

aoiaeaeaiey a neio?iieci n iaiueoei iau?iii ICO. I?eaaaeaia iaoiaeeea
nie?auaiey iau?ia iaiyoe i?e ?aaeecaoeee BDSE no?oeoo?. Iieacaii, /oi
auea?uo a eiee/anoaa oneiaiuo y/aae iaiyoe ii n?aaiaieth n i?yiie oi?iie
?aaeecaoeee no?aieony n ?inoii aeeeiu neaiaea n eioi?ui niaeaniaai
oeeueo? e aeeeia aeiea n iineaaeiaaoaeueiuie yeaiaioaie caaea?aeee.

Nicaeaia i?ia?aiia «Neioac no?oeoo? niaeaniaaiiuo oeeueo?ia», eioi?ay
?aaeecoao niiniau iieo/aiey ATFM e BDSE no?oeoo? OeNO.

?ac?aaioaia iaoaiaoe/aneay e oece/aneay iiaeaee NONE n eniieueciaaieai
N?N. Ia?aaioea neaiaeia a ieo inouanoaeyaony aeaiiaeoeyoi?ii
eiiaeie?iaaiiiai oeia: n eniieueciaaieai OeNO (BDSE no?oeoo?) e
ei??aeyoi?a.

I?eaaaeaiu ?acoeueoaou enneaaeiaaiee ?aaiou iiaeaeae.

Oeaeaniia?acii eniieueciaaiea ?ac?aaioaiiuo no?oeoo? oeeueo?ia ia
oieueei n N?N, a e n ae?oaeie oeiaie neaiaeia. ?acoeueoaou aeena?oaoeee
iiaoo auoue aiaae?aiu ia oieueei a ieuaaie i?iiuoeaiiinoe, ii e a
ae?oaeo io?aneyo oicyenoaaiiiai eiiieaena Oe?aeiu, eioi?ua i?eiaiytho
nai? e ia?aaioeo eioi?iaoeee ia?ae/iuo i?aia?aciaaoaeae.

Eeth/aaua neiaa : neaiaeu n ?anoe?aiiui niaeo?ii, no?oeoo?iue neioac,
iao?eoea ia?aaeaoi/iuo ooieoeee, oeeo?iaie niaeaniaaiiue oeeueo?.

SUMMARY

Shpinkovsky A.A. Digital filters of Spread Spectrum Signals in control
systems of gathering of an information. – Manuscript.

Thesis on competition of a scientific degree of the candidate of
engineering science on a speciality 05.13.05. – Elements both devices of
computer facilities and control systems. – Odessa state polytechnical
university, Odessa, 1999.

The thesis is devoted to a problem of the creation of the structures
of the matched filters for the control systems of gathering information
with using of the Spread Spectrum Signals and tools for their research.
The mode of deriving ATFM and BDSE structures of digital matched filters
is offered. BDSE structures permits to realize the procedure of the
entrance in a synchronism with smaller size of the RAM then straight
form of the filters. The program model and microprocessor module for a
research of control systems of gathering of an information with use of
Spread Spectrum Signals is offered.

Key words: Spread Spectrum Signals, structural synthesis, matrix of gear
functions, digital matched filter.

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