Using fuzzy logic to optimise the selection of mother wavelets

• Autorzy: Lagun, I. , Nakonechnyy, A. , Samotyy, V.

Warianty tytułu

PL

Wykorzystanie logiki rozmytej dla optymalizacji wyboru falek bazowych

• Języki publikacji: EN

Abstrakty

EN

The effectiveness of signal processing using discrete wavelet transformation depends on the correct choice of basic wavelet function. A model of multi-criteria optimisation of selection of wavelet function was developed based on fuzzy logic. An experimental study of the model was carried out for the most common types of signals selected from the MATLAB database package.

PL

Skuteczność przetwarzania sygnału przy użyciu dyskretnej metody falkowej zależy bezpośrednio od prawidłowego wyboru falki bazowej. Opracowano model optymalizacji multicriterialnej doboru falki bazowej na podstawie logiki rozmytej. Wykonano badania eksperymentalne opisanego modelu dla najbardziej popularnych typów sygnałów wybranych z środowiska MATLAB.

Słowa kluczowe

PL

wybór kryteriów; funkcja falkowa; optymalizacja wielokryterialna; zbiór rozmyty; kryteria rozmyte

EN

selection of criteria; wavelet function; multi-criteria optimisation; fuzzy set; fuzzy criteria

• Czasopismo: Technical Transactions
• Rocznik: 2018
• Tom: Vol. 115, iss. 3
• Strony: 107--114
• Opis fizyczny: Bibliogr. 13 poz., wz., tab.

Twórcy

autor

Lagun, I.

• Department of Computer Systems and Automatic, Lviv Polytechnic National University, Ukraine

autor

Nakonechnyy, A.

• Department of Computer Systems and Automatic, Lviv Polytechnic National University, Ukraine

autor

Samotyy, V.

• Department of Automatic Control and Information Technology, Cracow University of Technology,

Bibliografia

• [1] Ahuja N., Lertrattanapanich S., Bose N.K., Properties determining choice of mother wavelet, IEE Proceedings – Vision, Image and Signal Processing, Vol. 152, 2005, 659–664 .
• [2] Al-Qazzaz N.K., Bin Mohd Ali S.H., Ahmad S.A., Islam M.S., Escudero J., Selection of Mother Wavelet Functions for Multi-Channel EEG Signal Analysis during a Working Memory Task, Sensors, 2015, 15, 29015–29035.
• [3] De Moortel I., Munday S.A., Hood A.W., Wavelet Analysis: the effect of varying basic wavelet parameters, Solar Physics, Vol. 222, 2004, 203–228.
• [4] Chong E.K.P., Zak S.H., An Introduction to Optimization, 4th Edition, John Wiley & Sons, 2013.
• [5] Hao Ying, Fuzzy Control and Modeling: Analytical Foundations and Applications, Wiley-IEEE Press, 2000.
• [6] Kapil Tajane, Rahul Pitale, Jayant Umale, Comparative Analysis of Mother Wavelet Functions with the ECG Signals, Journal of Engineering Research and Applications, Vol. 4, 2014, 38–41.
• [7] Lagun I., Nakonechny A. Selection of wavelet basis for the effectiveness processing of signals, Vestnik Brestskogo gosudarstvennogo tekhnicheskogo universiteta, No. 5, 2016, 69–73.
• [8] Mallat S., Wavelet tour of signal processing, Third edition: The Sparse Way, 2008.
• [9] Navdeep Goel, Gurwinder Singh, Study of Wavelet Functions of Discrete Wavelet Transformation in Image Watermarking, An International Journal of Engineering Sciences, Vol. 17, 2016, 154–160.
• [10] Rafiee J., Rafiee M.A., Tse P.W., Application of mother wavelet functions for automatic gear and bearing fault diagnosis, Expert Systems with Applications, Vol. 37, 2010, 4568–4579.
• [11] Reiner Horst, Tuy Hoang, Global Optimization: Deterministic Approaches, 3rd edition, Springer-Verlag GmbH, 1996.
• [12] Thomas Weise, Global optimization algorithms: theory and application, 3nd Edition, Thomas Weise, 2011.
• [13] Zaid Abdi Alkareem Alyasseri, Ahamad Tajudin Khader, Mohammed Azmi Al-Betar, Electroencephalogram Signals Denoising using Various Mother Wavelet Functions: A Comparative Analysis, Proceedings of the International Conference on Imaging, Signal Processing and Communication, At Penang, Malaysia, October 27, 2017, 100–105.

Uwagi

EN

Section "Electrical Engineering"

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).

Identyfikatory

DOI

10.4467/2353737XCT.18.040.8302