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Signal Processing with Wavelets Using Fourier Analysis
Mariana Todorova, Reneta Ivanova
Technical University of Varna, 1 Studentska Str Varna 9005, Bulgaria
Abstract: For organizing and processing signals, the Fourier analysis is used that provide elementary waves as a powerful device. We in this work investigated data with the ability to compress and permit the testing. We then compressed, filtered and processed the necessary information. We have used signal processing with many wavelets and finally we have compared the experimental results and made a comparative analysis.
Keywords: Signal Analysis, Wavelets, Wavelet Toolbox, Wavelet Transformation Signal Processing with Wavelets Using Fourier Analysis
DOI:https://doi.org/10.6025/jes/2022/12/2/29-39
Full_Text   PDF 3.03 MB   Download:   128  times
References:

[1] Bultheel, A. (2006). Wavelets with Applications in Signal and Image Processing, p. 181.
[2] Chui, C.K., series editor. (1998). Wavelet analysis and its applications. Wavelet Analysis and Its Applications. Academic Press: San Diego, USA. USA, 92101-4495 [DOI: 10.1016/S1874-608X(13)70010-4].
[3] Sifuzzaman, M., Islam, M.R. & Ali, M.Z. (2009) Application of wavelet transform and its advantages compared to Fourier transform. Journal of Physical Sciences, 13, 121–134 ISSN: 0972-8791.
[4] Sheng, Y. (2000). Wavelet Transform. The Transforms and Applications Handbook, 2nd edn (edited by A. D. Poularikas). CRC Press: Boca Raton, ISBN 0-8493-8595-4.
[5] Todorova, M. & Ivanova, R. (2015). Research on Wavelet Function Applications in System Identification, Computer Science and Technologies, Vol. 2. Bulgaria, pp. 44–55, ISSN 1312-3335.
[6] Walnut, D.F. (2004). An Introduction to Wavelet Analysis, Springer, ISBN: 9781461265672.
[7] Wavelet Toolbox User Guide. (2016). MathWorks, Incorp.: Natick, USA, p. 160.


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