Method of segmentation of determined cyclic signals for the problems related to their processing and modeling https://doi.org/10.33108/visnyk_tntu2017.04.153

Main Article Content

Iaroslav Lytvynenko

Abstract

In this work the method of adaptive segmentation of determined cyclic signals has been
developed. The problem of segmentation (breakdown, division of the signal into distinctive segments) of the cyclic
determined signal (of the cyclic numeric function and the cyclic interval function) with a segment structure has
been solved. Examples of segmentation of simulated and real cyclic signals are provided; an assessment of the
accuracy of the developed method of segmentation has been made.

Article Details

Section

Articles

References

1. Lupenko S.A. Teoretychni osnovy modelyuvannya ta opratsyuvannya tsyklichnykh syhnaliv v informatsiynykh systemakh. Monohrafyya, L'viv, Mahnoliya 2006, 2016. 343 p. [in Ukrainian].

2. Lupenko S.A. Determinovani i vypadkovi tsyklichni funktsii yak modeli kolyvalnykh yavyshch i syhnaliv: vyznachennia ta klasyfikatsii. Elektronne modeliuvannia. In-t problem modeliuvannia v enerhetytsi im. H. Ye. Pukhova NAN Ukrainy. Kyiv, 2006. Vol. 28, No. 4, pp. 29 – 45 [In Russsian].

3. Lupenko S. Vypadkovyy protses iz zonnoyu chasovoyu strukturoyu ta simeystvo yoho funktsiy rozpodilu. Visnyk Ternopil's'koho derzhavnoho tekhnichnoho universytetu, Ternopil', 2005. Vol. 10, No. 4, pp. 183 – 192 [in Ukrainian].

4. Lupenko S. Osoblyvosti dyskretyzatsiyi tsyklichnykh funktsiy. Vymiryuval'na ta obchyslyuval'na tekhnika v tekhnolohichnykh protsesakh, Khmel'nyts'kyy, 2006. No. 1. pp. 64 – 70 [in Ukrainian].

5. Lupenko S.A. Zavdannya interpolyatsiyi funktsiyi rytmu tsyklichnoyi funktsiyi z vidomoyu zonnoyu strukturoyu. Elektronika ta systemy upravlinnya. Natsional'nyy aviatsiynyy universytet. Kyyiv, 2007, Vol. 12, No. 2, pp. 27 – 35 [in Ukrainian].

6. Lytvynenko І., Lupenko S., Shcherbak L. Statystychnyy metod vyznachennya zonnoyi struktury elektrokardiosyhnalu v avtomatyzovanykh diahnostychnykh systemakh, Visnyk Ternopil's'koho derzhavnoho tekhnichnoho universytetu, Ternopil', 2005, Vol. 10, No. 3, pp. 165 – 175 [in Ukrainian].

7. Lytvynenko I.V., Lupenko S.A, Dem"yanchuk N.R., Horkunenko A.B. Imitatsiyne modelyuvannya vzayemopov"yazanykh ekonomichnykh protsesiv na osnovi vektora tsyklichnykh rytmichno pov"yazanykh vypadkovykh protsesiv. Elektronika ta systemy upravlinnya. Natsional'nyy aviatsiynyy universytet, Kyyiv, 2011. Vol. 28, No. 2. pp. 133 – 141 [in Ukrainian].

8. Lytvynenko I.V, Marushchak P.O. Analysis of the State of the Modified Nanotitanium Surface with the Use of the Mathematical Model of a Cyclic Random Process. Optoelectronics, Instrumentation and Data Processing, 2015, Vol. 51, No. 3, pp. 254 - 263.

https://doi.org/10.3103/S8756699015030073

9. Lytvynenko I.V., Maruschak P.O., Lupenko S.A. Processing and modeling of ordered relief at the surface of heat-resistant steels after laser irradiation as a cyclic random process. Automatic Control and Computer Science, 2014, Vol. 48, No. 1, pp. 1 - 9.

https://doi.org/10.3103/S0146411614010040

10. Lytvynenko I.V., Maruschak P., Lupenko S., Panin S. Segmentation and Statistical Processing of Geometric and Spatial Data on Self-Organized Surface Relief of Statically Deformed Aluminum Alloy. Applied Mechanics and Materials, 2015, Vol. 770, pp. 288 - 293.

https://doi.org/10.4028/www.scientific.net/AMM.770.288

11. Aseeva L.G., Barinova N.E., Kechker M.I., Pinsker I.Sh., Trunov V.G Avtomaticheskaya diagnostika infarkta miokarda po EKG // Matematicheskaya obrabotka mediko-biologicheskoy informatsii. M., Nauka, 1976, 39 – 41 p. [in Russsian].

12. Vyichislitelnyie sistemyi i avtomaticheskaya diagnostika zabolevaniy sertsa; Pod red. Ts. Kaseresa i L. Dreyfusa. M., Mir, 1974, 504 p. [in Russsian].

13. Malinovskiy L.G., Pinsner I.Sh., Tsukerman B.M. Matematicheskie metodyi opisaniya EKG. Meditsinskaya tehnika, 1968, Vol. 5, pp. 3 – 7. [in Russsian].

14. Gurevich M.B., Zlochevskiy M.S. Vyibor predstavitelnogo kardiotsikla pri konturnom analize EKG na mikroEVM. Primenenie mat. metodov obrabotki mediko-biologicheskih dannyih i EVM v med. tehnike. M., VNIIMP, 1984, pp. 75 – 77 [in Russsian].

15.Baranovskiy A.L., Nemirko A.P. Kardiomonitoryi. Apparatura nepreryivnogo kontrolya EKG. M., Radio i svyaz, 1993, 247 p. [In Russsian].

16. De Luna A.B., Strutyinskiy A.V. Elektrografiya: analiz i interpretatsiya. M., MedPress, 1999 [in Russsian].

17.I.V. Lytvynenko. The problem of segmentation of the cyclic random process with a segmental structure and the approaches to its solving / I.V. Lytvynenko / Journal of Hydrocarbon Power Engineering, Oil and Gas Measurement and Testing. 2016, Vol. 3, No. 1, pp. 30 – 37.