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ÓÄÊ 621.372.8
Â. ². ̳ðîøíè÷åíêî, Â. Ì. Îñòðîóøêî
ÂÏËÈ ÊÎÍÒÀÊÒÓ ÑϲÐÀËÅÉ 3 ÒÎÐÖÅÌ ÐÅÇÎÍÀÒÎÐÀ ÍÀ ×ÀÑÒÎÒÈ ÂËÀÑÍÈÕ ÅËÅÊÒÐÎÌÀÃͲÒÍÈÕ ÊÎËÈÂÀÍÜ
The natural frequencies for cylindrical cavity with helices touching its end plates are calculated.
The explicit expressions for the case of long cavity with helix contacting with both end plates and
for the case of cavity with short helix contacting with one end plate are obtained.
The numerical calculations are carried out for some set of dimensions of the
one-helix structures and for the cavity with the both helices having close natural frequencies.
Ðîçðàõîâàíî âëàñí³ ÷àñòîòè öèë³íäðè÷íîrî ðåçîíàòîðà ç³ ñï³ðàëÿìè, ùî òîðêàþòüñÿ éîãî òîðö³â.
Îòðèìàíî ÿâí³ âèðàçè äëÿ äîâãîãî ðåçîíàòîðà ç³ ñï³ðàëëþ, ùî òîðêàºòüñÿ îáîõ òîðö³â,
òà äëÿ ðåçîíàòîðà ç êîðîòêîþ ñï³ðàëëþ, ùî òîðêàºòüñÿ îäíîãî òîðöÿ. Âèêîíàíî ÷èñëîâ³ ðîçðàõóíêè äëÿ ïåâíèõ
ä³àïàçîí³â ðîçì³ð³â ðåçîíàòîð³â ç îäí³ºþ ñï³ðàëëþ òà ðåçîíàòîðà ç îáîìà ñï³ðàëÿìè çà íàÿâíîñò³ áëèçüêèõ âëàñíèõ ÷àñòîò.
ÓÄÊ 621.3.019:51.001.57
Î. Þ. Ëîçèíñüêèé, Ñ. Â. Ùåðáîâñüêèõ
ÂÈÇÍÀ×ÅÍÍß ÅÔÅÊÒÈÂÍί ϲÄÌÍÎÆÈÍÈ ÔÀÇÎÂÈÕ ÇÀÊÎͲ ÐÎÇÏÎIJËÓ
ÄËß ÓÒÂÎÐÅÍÍß ÌÀÒÅÌÀÒÈ×ÍÈÕ ÌÎÄÅËÅÉ ÍÀIJÉÍÎÑÒ² ÐÅÌÎÍÒÎÂÀÍÈÕ ÎÁ'ªÊÒ²Â
The choice of phase-type distribution set using which it's succeeded most effectively
to form reliability models of multi-component items is described. The choice is carried out going out, firstly,
from providing of characteristics item components simplicity approximation, and secondly, going out from providing
of item reliability model simplicity with initial properties saving.
Îïèñàíî âèá³ð ìíîæèíè ôàçîâèõ çàêîí³â ðîçïîä³ëó, çà ÿêîþ âäàºòüñÿ íàéåôåêòèâí³øå ôîðìóâàòè ìîäåë³
íàä³éíîñò³ áàãàòîåëåìåíòíèõ îá'ºêò³â. Âèá³ð çä³éñíþþòü, âèõîäÿ÷è, ïî-ïåðøå, ³ç çàáåçïå÷åííÿ ïðîñòîòè àïðîêñèìàö³¿
õàðàêòåðèñòèê åëåìåíò³â îá'ºêòà, òà ïî-äðóãå, ³ç çàáåçïå÷åííÿ ïðîñòîòè îòðèìàíèõ ìîäåëåé íàä³éíîñò³ îá'ºêò³â
çà ìàêñèìàëüíîãî çáåðåæåííÿ âèõ³äíèõ âëàñòèâîñòåé.
À. Borys
REMARKS ON DEFINITIONS OF FORCED-RESPONSE STABILITY AND
ATTRACTIVITI USED IN DESIGN OF RECURSIVE DIGITAL FILTERS
²n thi¾ paper we show that the definition of attractivity of an actual recursive digital filter
can be derived from its forced-response stability, under the assumption that the attractivity property
for the corresponding ideal filter is fulfilled. The statement holds for a class of input signals defined
in the forced-response stability definition. The definitions of attractivity and forced-response stability
are reformulated appropriately to take into account the effect of quantization (granularity).
ÓÄÊ 621.182
Â. Á. Äóäèêåâè÷, Ê. Â. Îâ÷èííèêîâ, Â. Þ. Ìàðóùàê, Ð. Â. Á³ëÿãà
ÀÍÀ˲ÒÈ×ÍÅ ÌÎÄÅËÞÂÀÍÍß ÒÅÏËÎÎÁ̲ÍÍί ÇÎÍÈ Â ÊÎÒÅËÜÍÈÕ ÓÑÒÀÍÎÂÊÀÕ
Analytical modelling of heat exchang zone of boiler plant is described.
Common equation, which describe of dynamics of heat exchange process is received.
Functions of way out parameters, as a solve of equations set with definite vector of control àrå plotted.
Ðîçãëÿíóòî àíàë³òè÷íå ìîäåëþâàííÿ òåïëîîáì³ííî¿ çîíè êîòåëüíî¿ óñòàíîâêè. Îòðèìàíî çàãàëüíå ð³âíÿííÿ,
ùî îïèñóº äèíàì³êó òåïëîîáì³íó. Ïîáóäîâàíî ôóíêö³¿ âèõ³äíèõ ïàðàìåòð³â ó ÷àñ³, ÿê³ îòðèìàíî ÿê ðîçâ'ÿçîê
ñèñòåìè ð³âíÿíü çà âèçíà÷åíîãî âåêòîðà êåðóâàíü.
ÓÄÊ 621.313.333
Î. Ì. Âàñ³ëåâñüêèé, Â. Î. Ïîäæàðåíêî, Â. Þ. Êó÷åðóê
ÌÅÒÎÄ ÔÓÍÊÖ²É ×ÓÒËÈÂÎÑÒ² ÄËß ÔÎÐÌÓÂÀÍÍß Ä²ÀÃÍÎÑÒÈ×ÍÈÕ
ÎÇÍÀÊ ÒÅÕͲ×ÍÎÃÎ ÑÒÀÍÓ ÅËÅÊÒÐÎÌÅÕÀͲ×ÍÈÕ ÑÈÑÒÅÌ
The method of sensitivity funetions formation of diagnostic attributes of electromechanical
systems in a mode of self-retardation is described. It is received characteristics of sensitivity functions,
the deviation characteristic of the moment of resistance, the inertia moment, the starting moment,
and also characteristics of their relative deviation are received.
Ðîçãëÿíóòî ìåòîä ôóíêö³é ÷óòëèâîñò³ äëÿ ôîðìóâàííÿ ä³àãíîñòè÷íèõ îçíàê òåõí³÷íîrî ñòàíó
åëåêòðîìåõàí³÷íèõ ñèñòåì. Îòðèìàíî õàðàêòåðèñòèêè ôóíêö³é ÷óòëèâîñò³, â³äõèëåííÿ õàðàêòåðèñòèê ìîìåíòó îïîðó,
ìîìåíòó ³íåðö³¿ ïóñêîâîãî ìîìåíòó, à òàêîæ õàðàêòåðèñòèêè ïîõèáîê â³äíîñíîãî â³äõèëåííÿ.
ÓÄÊ 550.837.6:621.373
Ï. Ï. Äðàáè÷, Ï. Á. Äóá
ÁÅÇÊÎÍÒÀÊÒÍÅ ÂÈßÂËÅÍÍß ÄÅÔÅÊҲ ²ÇÎËßÖ²¯ ϲÄÇÅÌÍÈÕ ÑÒÐÓÌÎÏÐÎÂÎIJ ÍÀ ÎÑÍβ ÐÎÇÐÀÕÓÍÊÓ
ÅËÅÊÒÐÎÌÀÃͲÒÍÎÃÎ ÏÎËß ÅËÅÊÒÐÈ×ÍÎÃÎ ÄÈÏÎËß
The formulae for investigation of over-ground changes of the components of the electromagnetic field
of an underground electrical dipole are obtained. A possibility of detection of the underground current
conductor insulation damages using measurement of alternating electromagnetic field is considered.
Îòðèìàíî ôîðìóëè äëÿ âèâ÷åííÿ çì³í íàä çåìíîþ ïîâåðõíåþ ñêëàäîâèõ åëåêòðîìàãí³òíîãî ïîëÿ ðîçòàøîâàíîãî
ï³ä çåìëåþ åëåêòðè÷íîãî äèïîëÿ. Ðîçãëÿíóòî ìîæëèâ³ñòü âèÿâëåííÿ äåôåêò³â ³çîëÿö³¿ ï³äçåìíèõ
ñòðóìîïðîâîä³â øëÿõîì âèì³ðþâàííÿ çì³ííîãî åëåêòðè÷íîãî ïîëÿ.
ÓÄÊ 621.372
Î. Â. Òèì÷åíêî, ². Â. Ãîðáàòèé
ÌÅÒÎÄ Ï²ÄÂÈÙÅÍÍß ØÂÈÄÊÎÑÒ² ÏÅÐÅÄÀÂÀÍÍß ÄÀÍÈÕ ×ÅÐÅÇ ÒÅËÅÊÎÌÓͲÊÀÖ²ÉÍÈÉ ÊÀÍÀË
ØËßÕÎÌ ÓÄÎÑÊÎÍÀËÅÍÍß ÌÎÄÓËßÖ²¯ ÑÈÃÍÀËÓ
Method allows to transmit the greater amount data relatively with DPSK-4 and QAM-16 under such
protection from additive noise and alike maximum amplitudes of modulating signal.
Ìåòîä äîçâîëÿº ïåðåäàâàòè á³ëüøó ê³ëüê³ñòü äàíèê ïîð³âíÿíî ç ÔÌ-4 òà ÊÀÌ-16 çà îäíàêîâî¿ ñò³éêîñò³
äî àäèòèâíèõ çàâàä òà îäíàêîâèõ ìàêñèìàëüíèõ àìïë³òóä ìîäóëþþ÷èõ ñèãíàë³â.
ÓÄÊ 621.391
Ð. ß. Êîñàðåâè÷, Á. Ï. Ðóñèí
ÄÅÒÅÊÒÓÂÀÍÍß ÃÐÀÍÈÖÜ ÇÅÐÅÍ Ì²ÊÐÎÑÒÐÓÊÒÓÐÈ ÍÀ ÇÎÁÐÀÆÅÍÍßÕ ÏÎÂÅÐÕͲ ÌÀÒÅвÀËÓ ÇÀ ÄÎÏÎÌÎÃÎÞ ÏÎËß ÍÎÐÌÀËÅÉ
The problem of metalographic image analysis is considered. A new approach for image segmentation,
based on investigation of common placement of surfaces normal vectors in local neighborhood, is proposed.
Ðîçãëÿíóòî ïðîáëåìó àíàë³çó ìåòàëîãðàô³÷íèõ çîáðàæåíü. Òðàêòóþ÷è çîáðàæåííÿ ÿê ãëàäêèé ìíîãîâèä,
çàïðîïîíóâàëè íîâèé ï³äõ³ä äëÿ ëîêàëüíî¿ êëàñèô³êàö³¿ éîãî òî÷îê, ùî áàçóºòüñÿ íà äîñë³äæåíí³ âçàºìíîãî
ðîçòàøóâàííÿ âåêòîð³â íîðìàëåé ìíîãîâèäó â îêîë³ òî÷êè. Íà îñíîâ³ öüîãî ï³äõîäó ðîçâèíóòî ìåòîä ñåãìåíòàö³¿ çîáðàæåíü.
ÓÄÊ 551.568.85
Î. Â. Êàïø³é
ÑÒÂÎÐÅÍÍß ËÎÊÀËÜÍί ÏÐÈÕÎÂÀÍί ÌÀÐʲÂÑÜÊί ÌÎÄÅ˲ 3 ÃÅÎÌÅÒÐÈ×ÍÈÌ ÊÎÍÒÅÊÑÒÎÌ
ÄËß Ô²ËÜÒÐÀÖ²¯ ÇÎÁÐÀÆÅÍÜ Ó ÂÅÉÂËÅÒ-ÏÐÎÑÒÎв
A denoising algorithm for images corrupted by additive white gaussian noise is proposed.
Òhe algorithm is based on modeling each wavelet element by lîñàl hidden markov chain with geometrical context.
The algorithm has shown good denoising performance in comparison with other state-of-the-art denoising algorithms.
Çàïðîïîíîâàíî àëãîðèòì ô³ëüòðàö³¿ çîáðàæåíü, ñïîòâîðåíèõ àäèòèâíèì á³ëèì ãàóñ³âñüêèì øóìîì ç íóëüîâèì ñåðåäí³ì.
Àëãîðèòì ãðóíòóºòüñÿ íà ìîäåëþâàíí³ çíà÷åííÿ êîæíîãî åëåìåíòà âåéâëåò-ïåðåòâîðåííÿ çîáðàæåííÿ ëîêàëüíèì ïðèõîâàíèì
ìàðê³âñüêèì ëàíöþãîì ç ãåîìåòðè÷íèì êîíòåêñòîì. Ïîêàçàíî, ùî àëãîðèòì ìຠêðàù³ âëàñòèâîñò³ ô³ëüòðàö³¿ ïîð³âíÿíî ç ³íøèìè ìåòîäàìè.
ÓÄÊ 532.61:681.327.12.001.33
Î. Â. Ëè÷àê, Ç. Â. Ãëîâà, À. Á. Êìåòü
ÑÏÅÊÒÐÀËÜͲ ÏÅÐÅÒÂÎÐÅÍÍß ÑÈÃÍÀË²Â Ó Ð²ÇÍÈÖÅÂÎÌÓ ÑÏÅÊË-²ÍÒÅÐÔÅÐÎÌÅÒв ˲ÍÄÅÐÖß
The analysis of the amplitude and frequency transformations in the differential electronic spekle interferometer
based on Linderec scheme was performed. Optimal scheme for demodulation of the information component was substantiated.
The exact expression for signal to noise ratio with involving of spekle displacement and incoherency of subject and reference beams was obtained.
Ïðîàíàë³çîâàíî ïåðåòâîðåííÿ àìïë³òóä òà ÷àñòîò ñèãíàë³â ó ð³çíèöåâîìó åëåêòðîííîìó ñïåêë- ³íòåðôåðîìåòð³ ˳íäåðöÿ.
Îáãðóíòîâàíî âèá³ð ñõåìè äåìîäóëÿö³¿ ³íôîðìàö³éíîãî ñèãíàëó. Îòðèìàíî òî÷íèé âèðàç äëÿ ñï³ââ³äíîøåííÿ ñèãíàë/øóì
³ç óðàõóâàííÿì ïåðåì³ùåííÿ ñïåêëà òà íåêîãåðåíòíîñò³ îïîðíîãî ³ ïðåäìåòíîãî ïðîìåí³â.
ÓÄÊ 535.8:535.241.13
Ì. Î. Ìåëüíèê
ÑÈÃÍÀËÜͲ ÒÀ ØÓÌβ ÃÎËÎÃÐÀÔ²×Ͳ ÕÀÐÀÊÒÅÐÈÑÒÈ ÏÐÎÑÒÎÐÎÂÎ-×ÀÑÎÂÈÕ ÌÎÄÓËßÒÎв Ñ²ÒËÀ
It is offered to use a method of signal and noise fields for research of characteristics of spatial-temporal
light modulators. The method allows to choose and expect schemes of holographic record and modes of reconstruction,
and also to avoid distortions and noises connected to the nonlinearity of transmission of an objective field amplitude.
The correctness of the method is åõðårimentally confirmed on the PRIZ modulators.
Çàïðîïîíîâàíî âèêîðèñòîâóâàòè ìåòîä ñèãíàëüíèõ ³ øóìîâèõ ïîë³â äëÿ äîñë³äæåííÿ õàðàêòåðèñòèê ïðîñòîðîâî-÷àñîâèõ
ìîäóëÿòîð³â ñâ³òëà. ³í äîçâîëÿº âèáèðàòè ³ ðîçðàõîâóâàòè ñõåìè ãîëîãðàô³÷íîãî çàïèñó ³ ðåæèìè â³äòâîðåííÿ,
à òàêîæ óíèêíóòè ñïîòâîðåíü òà øóì³â, ïîâ'ÿçàíèõ ç íåë³í³éí³ñòþ ïåðåäà÷³ àìïë³òóäè îá'ºêòíîãî ïîëÿ.
Êîðåêòí³ñòü ìåòîäó åêñïåðèìåíòàëüíî ï³äòâåðäæåíà íà ìîäóëÿòîðàõ ÏÐÈÇ.
ÓÄÊ 519.9:612.8:621.391
Ð. Ì. Êàì³íñüêèé
ÎÖ²ÍÞÂÀÍÍß ÔÓÍÊÖ²ÎÍÀËÜÍί ÅÔÅÊÒÈÂÍÎÑÒ² ËÞÄÈÍÎ-ÌÀØÈÍÍÎÃÎ ²ÍÒÅÐÔÅÉÑÓ ÎÁÐÎÁÊÈ Â²ÇÓÀËÜÍί ²ÍÔÎÐÌÀÖ²¯
The pattern recognition complexity characteristic is proposed. The criteria of funetional efficiency estimation
for man machine interface of visual information recognition and its working up by it is developped.
Çàïðîïîíîâàíî ïîêàçíèê ðîçï³çíàâàëüíî¿ ñêëàäíîñò³ çîáðàæåíü ³ íà éîãî îñíîâ³ ðîçðîáëåíî êðèòåð³é ôóíêö³îíàëüíî¿
åôåêòèâíîñò³ ðîáîòè ëþäèíî-ìàøèííîãî ³íòåðôåéñó îáðîáêè ³ ðîçï³çíàâàííÿ â³çóaëüíî¿ ³íôîðìàö³¿.
ÓÄÊ 519.68
Ã. Ã. Öåråëèê, Ð. Î. Òè÷êîâñüêèé
ÌÎÄÅËÞÂÀÍÍß ÎÏÒÈÌÀËÜÍÎÃÎ ÄÎÑÒÓÏÓ ÄÎ ²ÍÔÎÐÌÀÖ²¯ ÑÅÐÂÅÐ²Â Ç ÁÎÊÓ ÊÎÐÈÑÒÓÂÀײÂ
In this paper the approach to modeling of the optimal users access to the information of remote servers is proposed.
The explicit expression of the mathematical expectation of general time, which is necessary for searching of page, is found.
It is done as in the case of uniform distribution probability of address to the pages such in the case of different
laws of non-uniform distribution. The meaning of control parameters, where the mathematical expectation reach the minimum, is found.
Ðîçãëÿíóòî ï³äõ³ä äî ìîäåëþâàííÿ îïòèìàëüíîãî äîñòóïó êîðèñòóâà÷³â äî ³íôîðìàö³¿ â³ääàëåíèõ ñåðâåð³â.
Çíàéäåíî ÿâíèé âèðàç äëÿ ìàòåìàòè÷íîãî ñïîä³âàííÿ çàãàëüíîãî ÷àñó, íåîáõ³äíîãî äëÿ ïîøóêó ñòîð³íêè, ÿê äëÿ ð³âíîì³ðíîãî ðîçïîä³ëó
éìîâ³ðíîñòåé çâåðòàííÿ äî ñòîð³íîê, òàê ³ äëÿ ð³çíèõ çàêîí³â íåð³âíîì³ðíîãî ðîçïîä³ëó. Ðîçðàõîâàíî çíà÷åííÿ ïàðàìåòð³â êåðóâàííÿ,
çà ÿêèõ ìàòåìàòè÷íå ñïîä³âàííÿ äîñÿãຠì³í³ìóìó.
ÓÄÊ 004.032.26
Â. Ì. Ìàíäç³é
ÐÎÇÐÎÁÊÀ ÍÎÂί ÌÎÄÈÔ²ÊÀÖ²¯ ÍÅÉÐÎÌÅÐÅƲ ÃÎÏÔ²ËÄÀ ÄËß ÍÅÊÎÐÅËÜÎÂÀÍÈÕ ÇÎÁÐÀÆÅÍÜ
In the paper new modification of classical Hopfield's neuronet is considered which have a big noiseproof
and capacity ³n comparison with another modifications.
Ðîçðîáëåíî íîâó ìîäèô³êàö³þ íåéðîìåðåæ³ Ãîïô³ëäà, ÿêà ïîð³âíÿíî ç ³íøèìè øâèäêî íàâ÷àºòüñÿ,
ìຠâåëèêó çàâàäîñò³éê³ñòü òà ºìí³ñòü.
ÓÄÊ 004.89
Ä. Ã. Äîñèí, Ð. Ð. Äàðåâè÷
ÌÅÒÎÄ ÂÈÇÍÀ×ÅÍÍß ÏÎIJÁÍÎÑÒ² ÒÅÊÑÒ²Â, ÏÎÄÀÍÈÕ Ó ÂÈÃËßIJ ÇÂÀÆÅÍÈÕ ÊÎÍÖÅÏÒÓÀËÜÍÈÕ ÃÐÀÔ²Â
The new method of text documents comparison by a content is proposed. The method is based on text representation
as a conceptual graph and on assigning to it's nodes and arcs certain weight coefficients, proportional
to occurrence frequency of correspondent terms and keyword word-combinations for the given knowledge domain.
Comparison of different methods of estimation of texts similarity în testing examples is presented.
Çàïðîïîíîâàíî íîâèé ìåòîä ïîð³âíÿííÿ òåêñòîâèõ äîêóìåíò³â çà çì³ñòîì, ÿêèé áàçóºòüñÿ íà ïîäàíí³ òåêñò³â
ó âèãëÿä³ êîíöåïòóàëüíèõ ãðàô³â òà ïðèñâîºíí³ âåðøèíàì òà ðåáðàì òàêèõ ãðàô³â ïåâíèõ âàãîâèõ êîåô³ö³ºíò³â,
ïðèéíÿòèõ ïðîïîðö³éíèìè äî ÷àñòîòè çóñòð³÷àííÿ â³äïîâ³äíèõ ¿ì òåðì³í³â òà ñëîâîñïîëó÷åíü ó äàí³é ïðåäìåòí³é îáëàñò³.
Ïîð³âíÿíî ð³çí³ ìåòîäè îö³íêè ïîä³áíîñò³ íà òåñòîâèõ ïðèêëàäàõ.
ÓÄÊ 519.6
Ê. Â. Ñóùèê
ÁÀËÀÍÑͲ ÍÀÁËÈÆÅÍÍß ×ÅÁÈØÎÂÑÜÊÈÌÈ ÑÏËÀÉÍÀÌÈ ÍÀ ÁÅÇÌÅÆÍÎÌÓ ²ÍÒÅÐÂÀ˲
At the paper an approximation of function f(õ) on the interval ³s considered. Algorithm of function approximation
by Chebyshev spline on the infinite interval is proposed. The distinctive feature of the algorithm is the use
of different expressions on the finite and infinite links of spline.
Ðîçãëÿíóòî íàáëèæåííÿ ôóíêö³¿ f(õ) íà ïðîì³æêó. Çàïðîïîíîâàíî àëãîðèòì íàáëèæåííÿ ôóíêö³¿ ÷åáèøîâñüêèì ñïëàéíîì
íà áåçìåæíîìó ³íòåðâaë³. Îñîáëèâ³ñòþ öüîãî aëãîðèòìó º âèêîðèñòàííÿ ð³çíèõ âèðàç³â íà ëàíêàõ, ùî ìàþòü
ñê³í÷åííó òà íåñê³í÷åííó äîâæèíè.
ÓÄÊ 681.142.37
Ð.Ì. Êîãyò, Î.Ì. Ïàâëþê
ÁÓËÅÂÈÉ ÍÅÉÐÎÍ
In the paper the new type of elementary neuron element, called Boolean neuron, is presented.
On the base of Boolean neuron the algorithms of training and using of a Boolean neural network are developed.
The example of Boolean function reproduction by suggested Boolean neural network was presented.
Ïðåäñòàâëåíî íîâèé òèï åëåìåíòàðíîãî íåéðîííîãî åëåìåíòà — áóëåâèé íåéðîí, íà îñíîâ³ ÿêîãî ðîçðîáëåíî
àëãîðèòìè íàâ÷àííÿ òà ôóíêö³îíóâàííÿ áóëåâî¿ íåéðîííî¿ ìåðåæ³. Íàâåäåíî ïðèêëàä â³äòâîðåííÿ áóëåâî¿
ôóíêö³¿ çà äîïîìîãîþ çàïðîïîíîâàíî¿ íåéðîííî¿ ìåðåæ³.