| DC Field | Value | Language |
|---|
| dc.contributor.author | Lagun, Ilona | - |
| dc.date.accessioned | 2020-06-16T08:12:15Z | - |
| dc.date.available | 2020-06-16T08:12:15Z | - |
| dc.date.created | 2019-02-26 | - |
| dc.date.issued | 2019-02-26 | - |
| dc.identifier.citation | Lagun I. The Methods of Choice the Wavelets for One Dimensional Signals Processing / Ilona Lagun // Advances in Cyber-Physical Systems. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 4. — No 2. — P. 84–90. | - |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/52230 | - |
| dc.description.abstract | The paper describes the problems of the
effectiveness increasing in the selection of base functions for
the processing of different types of one-dimensional signals
in the wavelet domain. The efficiency of representing
signals in the wavelet domain has been shown; their
analysis and processing are related to the choice of base
functions. The basic methods and algorithms for selecting
base functions are defined, in which the choice of optimal
wavelets has been carried out according to a particular
criterion for certain types of signals. Methods have been
presented for assessing the efficiency of the choice of base
wavelets by the criterion for the ratio of the energy of the
wavelet coefficients to the entropy of energy distribution of
wavelet coefficients, the criterion for estimating the
correlation coefficient, and the information criterion. The
universal index of quality of the signal has been proposed
and substantiated for the first time as a new criterion for
choosing a wavelet and the method has been improved for
the choice of base wavelets using a genetic algorithm
according to the universal signal quality index criterion.
The method of multi-criteria optimization of the choice of
base wavelet for the processing one-dimensional nonperiodic signals based on the tools of fuzzy logic has been
proposed and developed, which made it possible to improve
the efficiency of signal processing. | - |
| dc.format.extent | 84-90 | - |
| dc.language.iso | en | - |
| dc.publisher | Видавництво Львівської політехніки | - |
| dc.publisher | Lviv Politechnic Publishing House | - |
| dc.relation.ispartof | Advances in Cyber-Physical Systems, 2 (4), 2019 | - |
| dc.relation.ispartof | Advances in Cyber-Physical Systems, 2 (4), 2019 | - |
| dc.subject | wavelet | - |
| dc.subject | base wavelets | - |
| dc.subject | optimal wavelets | - |
| dc.subject | selection criteria | - |
| dc.subject | multi-criterion optimization | - |
| dc.title | The Methods of Choice the Wavelets for One Dimensional Signals Processing | - |
| dc.type | Article | - |
| dc.rights.holder | © Національний університет “Львівська політехніка”, 2019 | - |
| dc.rights.holder | © Lagun I., 2019 | - |
| dc.contributor.affiliation | Lviv Polytechnic National University | - |
| dc.format.pages | 7 | - |
| dc.identifier.citationen | Lagun I. The Methods of Choice the Wavelets for One Dimensional Signals Processing / Ilona Lagun // Advances in Cyber-Physical Systems. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 4. — No 2. — P. 84–90. | - |
| dc.relation.references | [1] Nakonechnyy A. Y. Teoriya malokhvylovoho (wavelet) peretvorennya ta yiyi zastosuvannya. Lviv: Feniks, 2001. 278 p. | - |
| dc.relation.references | [2] Smolentsev N. K. Osnovy teorii veyvletov. Veyvlety v MATLAB. Moskva: DMK Press, 2014. 628 p. | - |
| dc.relation.references | [3] Cunha, Caio F. and Carvalho, André and Petraglia, M. R. and Lima, Antonio C. S. An improved scale dependent wavelet selection for data denoising of partial discharge measurement. Proceedings of IEEE International Conference on Solid Dielectrics, ICSD, 2013. Pp. 100–104. | - |
| dc.relation.references | [4] Yang, Q.; Wang, J. Multi-Level Wavelet Shannon Entropy-Based Method for Single-Sensor Fault Location. Entropy. 17, 2015. Pp. 7101–7117. | - |
| dc.relation.references | [5] J. Rafiee, M. A. Rafiee, N. Prause, M. P. Schoen. Wavelet basis functions in biomedical signal processing. Expert Systems with Applications. 38(5), 2011. Pp. 6190–620. | - |
| dc.relation.references | [6] T. M. Cover; J. A. Thomas. Elements of Information Theory, 2nd ed. Wiley-Interscience: Hoboken, NJ, USA, 2006. | - |
| dc.relation.references | [7] N. Wu, Y. Q. Wei. Research on Wavelet Energy Entropy and its application to harmonic detection in power system. International Journal of Applied Physics and Mathematics. 3(1), 2013. Pp. 31–33. | - |
| dc.relation.references | [8] H. Hong, Y. Tan, Y. Wang. Optimal base wavelet selection for ECG noise reduction using a Comprehensive Entropy Criterion. Entropy. Vol. 17, Issue 9, 2015. Pp. 6093–6109. | - |
| dc.relation.references | [9] Dyakonov V. P. Veyvlety. Ot teorii k praktike. Moskva: SOLON-R, 2002. 448 p. | - |
| dc.relation.references | [10] I. Lagun, A. Nakonechnyi. Selection of wavelet basis for the effectiveness processing of signals. Vestnik Brestskogo gosudarstvennogo tekhnicheskogo universiteta, No. 5, 2016. Pp. 69–73. | - |
| dc.relation.references | [11] Shtoyyer R. Mnogokriterialnaya optimizatsiya. Teoriya, vychisleniya, i prilozheniya. Moskva: Radio i svyaz, 1992. 504 p. | - |
| dc.relation.references | [12] Saati T. Prinyatiye resheniy. Metod analiza iyerarkhiy. Moskva: Radio i svyaz, 1993. 320 p. | - |
| dc.relation.references | [13] Shtovba S. D. Proyektirovaniye nechetkikh sistem sredstvami MATLAB. Moskva: Goryachaya liniya – Telekom, 2007. 288 p. | - |
| dc.relation.references | [14] Lotfi A Zadeh. Fuzzy Sets. Information and Control, No. 8, 1965. Pp. 338–353. | - |
| dc.relation.references | [15] Z. Wang, A. C. Bovik. A universal image quality index. IEEE Signal Processing Letters, vol. 9, No. 3, 2002. Pp. 81–84. | - |
| dc.relation.references | [16] I. I. Lahun, A. Y. Nakonechnyy, R. I. Stakhiv. Vykorystannya universalnoho indeksu yakosti syhnalu pry vybori optymalnykh malokhvylovykh bazovykh funktsiy. Materialy 3-yi Mizhnarodnoyi konferentsiyi z avtomatychnoho upravlinnya ta informatsiynykh tekhnolohiy, ICACIT-2015, Kyiv, 11–13 December 2015. Kyiv, 2015. Pp. 132–135. | - |
| dc.relation.references | [17] Burakov M. V. Geneticheskiy algoritm: teoriya i praktika: uchebnoye posobiye. Sankt Peterburg: GUAP, 2008. 164 p. | - |
| dc.relation.references | [18] Lahun I. I., Nakonechnyy R. A. Optymizatsiya poshuku bazovykh malokhvylovykh funktsiy z vykorystannyam henetychnoho alhorytmu. Visnyk Natsionalnoho universytetu “Lvivska politekhnika”. Avtomatyka, vymiryuvannya ta keruvannya. Lviv: NU “Lvivs’ka politekhnika”, 2015. No. 821. Pp. 30–36. | - |
| dc.relation.referencesen | [1] Nakonechnyy A. Y. Teoriya malokhvylovoho (wavelet) peretvorennya ta yiyi zastosuvannya. Lviv: Feniks, 2001. 278 p. | - |
| dc.relation.referencesen | [2] Smolentsev N. K. Osnovy teorii veyvletov. Veyvlety v MATLAB. Moskva: DMK Press, 2014. 628 p. | - |
| dc.relation.referencesen | [3] Cunha, Caio F. and Carvalho, André and Petraglia, M. R. and Lima, Antonio C. S. An improved scale dependent wavelet selection for data denoising of partial discharge measurement. Proceedings of IEEE International Conference on Solid Dielectrics, ICSD, 2013. Pp. 100–104. | - |
| dc.relation.referencesen | [4] Yang, Q.; Wang, J. Multi-Level Wavelet Shannon Entropy-Based Method for Single-Sensor Fault Location. Entropy. 17, 2015. Pp. 7101–7117. | - |
| dc.relation.referencesen | [5] J. Rafiee, M. A. Rafiee, N. Prause, M. P. Schoen. Wavelet basis functions in biomedical signal processing. Expert Systems with Applications. 38(5), 2011. Pp. 6190–620. | - |
| dc.relation.referencesen | [6] T. M. Cover; J. A. Thomas. Elements of Information Theory, 2nd ed. Wiley-Interscience: Hoboken, NJ, USA, 2006. | - |
| dc.relation.referencesen | [7] N. Wu, Y. Q. Wei. Research on Wavelet Energy Entropy and its application to harmonic detection in power system. International Journal of Applied Physics and Mathematics. 3(1), 2013. Pp. 31–33. | - |
| dc.relation.referencesen | [8] H. Hong, Y. Tan, Y. Wang. Optimal base wavelet selection for ECG noise reduction using a Comprehensive Entropy Criterion. Entropy. Vol. 17, Issue 9, 2015. Pp. 6093–6109. | - |
| dc.relation.referencesen | [9] Dyakonov V. P. Veyvlety. Ot teorii k praktike. Moskva: SOLON-R, 2002. 448 p. | - |
| dc.relation.referencesen | [10] I. Lagun, A. Nakonechnyi. Selection of wavelet basis for the effectiveness processing of signals. Vestnik Brestskogo gosudarstvennogo tekhnicheskogo universiteta, No. 5, 2016. Pp. 69–73. | - |
| dc.relation.referencesen | [11] Shtoyyer R. Mnogokriterialnaya optimizatsiya. Teoriya, vychisleniya, i prilozheniya. Moskva: Radio i svyaz, 1992. 504 p. | - |
| dc.relation.referencesen | [12] Saati T. Prinyatiye resheniy. Metod analiza iyerarkhiy. Moskva: Radio i svyaz, 1993. 320 p. | - |
| dc.relation.referencesen | [13] Shtovba S. D. Proyektirovaniye nechetkikh sistem sredstvami MATLAB. Moskva: Goryachaya liniya – Telekom, 2007. 288 p. | - |
| dc.relation.referencesen | [14] Lotfi A Zadeh. Fuzzy Sets. Information and Control, No. 8, 1965. Pp. 338–353. | - |
| dc.relation.referencesen | [15] Z. Wang, A. C. Bovik. A universal image quality index. IEEE Signal Processing Letters, vol. 9, No. 3, 2002. Pp. 81–84. | - |
| dc.relation.referencesen | [16] I. I. Lahun, A. Y. Nakonechnyy, R. I. Stakhiv. Vykorystannya universalnoho indeksu yakosti syhnalu pry vybori optymalnykh malokhvylovykh bazovykh funktsiy. Materialy 3-yi Mizhnarodnoyi konferentsiyi z avtomatychnoho upravlinnya ta informatsiynykh tekhnolohiy, ICACIT-2015, Kyiv, 11–13 December 2015. Kyiv, 2015. Pp. 132–135. | - |
| dc.relation.referencesen | [17] Burakov M. V. Geneticheskiy algoritm: teoriya i praktika: uchebnoye posobiye. Sankt Peterburg: GUAP, 2008. 164 p. | - |
| dc.relation.referencesen | [18] Lahun I. I., Nakonechnyy R. A. Optymizatsiya poshuku bazovykh malokhvylovykh funktsiy z vykorystannyam henetychnoho alhorytmu. Visnyk Natsionalnoho universytetu "Lvivska politekhnika". Avtomatyka, vymiryuvannya ta keruvannya. Lviv: NU "Lvivs’ka politekhnika", 2015. No. 821. Pp. 30–36. | - |
| dc.citation.journalTitle | Advances in Cyber-Physical Systems | - |
| dc.citation.issue | 2 | - |
| dc.citation.spage | 84 | - |
| dc.citation.epage | 90 | - |
| dc.coverage.placename | Львів | - |
| dc.coverage.placename | Lviv | - |
| Appears in Collections: | Advances In Cyber-Physical Systems. – 2019. – Vol. 4, No. 2
|
