The problem of segmentation of the cyclic random process with a segmental structure and the approaches to its solving
Keywords:
cyclic random process, segment structure, segmentation.Abstract
The problem of segmentation (splitting the signal into specific zones, segments) of the cyclic random process with a
segmental structure is being described.
There have been introduced several approaches to solving the problem of segmenting the cyclic random process. In
particular, they include cyclic and periodic partially stationary random processes. Examples of segmenting simulated and real
signals are also provided.
The results can be used in automated processing systems (diagnosis and prognosis) of electrocardiosignals, cyclic economic
processes, gas and energy consumption processes, diagnostics of the topographic surface of modern materials.
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References
[1] Lytvynenko, I 2005, ’Statistical methods of
evaluating zone structure of the electrocardiosignal in the
automated diagnostic systems’, The Herald of the Ternopil
State Technical University, Vol. 10, no.3. pp. 165–175.
(in Ukrainian).
[2] Lytvynenko, IV, Lupenko, SA, Demchuk, NR &
Horkunenko, AB 2011, ’Simulation modeling of related
economic processes based on vector of cyclic rhythmically
related random processes’, Electronics and control systems,
no. 2(28), pp. 133–141. (in Ukrainian).
[3] Maruschak, PO, Panin, SV, Ignatovich, SR,
Zakiev, IM, Konovalenko, IV, Lytvynenko, IV &
Sergeev VP 2012, ’Influence of deformation process in
material at multiple cracking and fragmentation of
nanocoating’, Theoretical and Applied Fracture Mechanics,
Vol. 57, pp. 43–48. (in Ukrainian).
[4] Lupenko, S 2006, ’Characteristics of sampling the
cyclic functions’, Measuring and computing equipment in
technological processes, no. 1, pp. 64–70. (in Ukrainian).
[5] Lupenko, S 2007, ’The task of interpolating the
rhythm function of the cyclic function with the known zone
structure’, Electronics and control systems, no. 2(12),
pp. 27–35. (in Ukrainian).
[6] Lupenko, S 2006, ’Statistical methods of cyclic
random process processing’, Electronics and control systems,
no. 2(8), pp. 59–65. (in Ukrainian).
[7] Lupenko, S 2005, ’Statistical methods of compatible
processing summation of rhythm related cyclic random
processes’, Measuring and computing equipment in
technological processes, no. 2. pp. 80–84. (in Ukrainian).
[8] Lupenko, S 2006, ’Cyclic and periodic random
processes with zone temporal structure and its probable
characteristics’, The Herald of the Ternopil State Technical
University, Vol. 11, no. 2, pp. 150–155. (in Ukrainian).
[9] Lupenko, S 2006, ’Deterministic and random cyclic
functions as models of oscillatory events and signals:
definition and classification’, Electronic modeling, Pukhov
Institute for Modelling in Energy Engineering NAS Ukraine.
Kyiv, Vol. 28, no. 4, pp. 29–45. (in Russian).
[10] Telksnis, L 1971, ’Optimal evaluation of changes in
properties and identification of random signals sources’,
Vibrotehnika, E. 4, pp. 35–47. (in Russian).
[11] Telksnis, L 1972, ’A method for determining
changes in a heart rhythm’, in Cardiology: proceedings of the
III conf. scientific. society of Cardiology of the Lithuanian
SSR, Kaunas, pp. 254–281. (in Russian).
[12] Shiryaev, A 1963, ’Detecting problems in the
production process’, Probability theory and its applications,
Vol. VIII, E. 3, pp. 254–258. (in Russian).
[13] Lupenko, S 2005, ’Cyclic functions and their
classification in the tasks of modeling cyclic signals and
oscillation system’, Measuring and computing method in
technological processes, no. 1, pp. 277–185. (in Ukrainian).
[14] Lupenko, S 2005, ’Random process with zone
timed structure and the group of its distribution function’, The
Herald of the Ternopil State Technical University, Vol. 10,
no. 4, pp. 183–192. (in Ukrainian).
evaluating zone structure of the electrocardiosignal in the
automated diagnostic systems’, The Herald of the Ternopil
State Technical University, Vol. 10, no.3. pp. 165–175.
(in Ukrainian).
[2] Lytvynenko, IV, Lupenko, SA, Demchuk, NR &
Horkunenko, AB 2011, ’Simulation modeling of related
economic processes based on vector of cyclic rhythmically
related random processes’, Electronics and control systems,
no. 2(28), pp. 133–141. (in Ukrainian).
[3] Maruschak, PO, Panin, SV, Ignatovich, SR,
Zakiev, IM, Konovalenko, IV, Lytvynenko, IV &
Sergeev VP 2012, ’Influence of deformation process in
material at multiple cracking and fragmentation of
nanocoating’, Theoretical and Applied Fracture Mechanics,
Vol. 57, pp. 43–48. (in Ukrainian).
[4] Lupenko, S 2006, ’Characteristics of sampling the
cyclic functions’, Measuring and computing equipment in
technological processes, no. 1, pp. 64–70. (in Ukrainian).
[5] Lupenko, S 2007, ’The task of interpolating the
rhythm function of the cyclic function with the known zone
structure’, Electronics and control systems, no. 2(12),
pp. 27–35. (in Ukrainian).
[6] Lupenko, S 2006, ’Statistical methods of cyclic
random process processing’, Electronics and control systems,
no. 2(8), pp. 59–65. (in Ukrainian).
[7] Lupenko, S 2005, ’Statistical methods of compatible
processing summation of rhythm related cyclic random
processes’, Measuring and computing equipment in
technological processes, no. 2. pp. 80–84. (in Ukrainian).
[8] Lupenko, S 2006, ’Cyclic and periodic random
processes with zone temporal structure and its probable
characteristics’, The Herald of the Ternopil State Technical
University, Vol. 11, no. 2, pp. 150–155. (in Ukrainian).
[9] Lupenko, S 2006, ’Deterministic and random cyclic
functions as models of oscillatory events and signals:
definition and classification’, Electronic modeling, Pukhov
Institute for Modelling in Energy Engineering NAS Ukraine.
Kyiv, Vol. 28, no. 4, pp. 29–45. (in Russian).
[10] Telksnis, L 1971, ’Optimal evaluation of changes in
properties and identification of random signals sources’,
Vibrotehnika, E. 4, pp. 35–47. (in Russian).
[11] Telksnis, L 1972, ’A method for determining
changes in a heart rhythm’, in Cardiology: proceedings of the
III conf. scientific. society of Cardiology of the Lithuanian
SSR, Kaunas, pp. 254–281. (in Russian).
[12] Shiryaev, A 1963, ’Detecting problems in the
production process’, Probability theory and its applications,
Vol. VIII, E. 3, pp. 254–258. (in Russian).
[13] Lupenko, S 2005, ’Cyclic functions and their
classification in the tasks of modeling cyclic signals and
oscillation system’, Measuring and computing method in
technological processes, no. 1, pp. 277–185. (in Ukrainian).
[14] Lupenko, S 2005, ’Random process with zone
timed structure and the group of its distribution function’, The
Herald of the Ternopil State Technical University, Vol. 10,
no. 4, pp. 183–192. (in Ukrainian).
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Published
2018-06-06
How to Cite
Lytvynenko, I. (2018). The problem of segmentation of the cyclic random process with a segmental structure and the approaches to its solving. JOURNAL OF HYDROCARBON POWER ENGINEERING, 3(1), 30–37. Retrieved from https://ogpe.nung.edu.ua/index.php/jhpe/article/view/60
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OIL AND GAS MEASUREMENT AND TESTING
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