Please use this identifier to cite or link to this item: https://essuir.sumdu.edu.ua/handle/123456789/91483
Or use following links to share this resource in social networks: Recommend this item
Title New Fractional Wavelet with Compact Support and Its Application to Signal Denoising
Authors Lanani, A.
Abbou, A.
ORCID
Keywords fractional filters
fractional delay
compact support
fractional wavelets
signal denoising
Type Article
Date of Issue 2023
URI https://essuir.sumdu.edu.ua/handle/123456789/91483
Publisher Sumy State University
License In Copyright
Citation Abderrahim Lanani, Abdelaziz Abboudi, J. Nano- Electron. Phys. 15 No 2, 02023 (2023) DOI: https://doi.org/10.21272/jnep.15(2).02023
Abstract Since their appearance, the wavelets have been developed very rapidly and have attracted the attention of many researchers, which resulted in the birth of several wavelet families: real, complex and fractional. However, the choice of an adequate analyzing wavelet remains an important problem; there is no wavelet suitable for all cases, for some applications, it is possible that we do not find among the known wavelets the one that suits. Therefore, it is necessary to try to build new wavelets that can adapt and cover a wide panorama of problems. In this context, we propose in the present research work a new wavelet family based on fractional calculus. The construction generally begins with the choice of an orthogonal digital low-pass filter associated with a base of wavelet with compact support; the filter will be generalized through the fractional delay (FD) Z-D which is approximated by a RIF filter using the Lagrange interpolation method, while ensuring correct properties of orthogonality, compact support and regularity. Then, the high-pass fractional filter is deduced from the low-pass filter by a simple modulation. However, the scale and wavelet functions are built using the cascade Daubechies algorithm. In order to illustrate the potential and efficiency of the fractional wavelets designed within this paper compared to the different wavelets existing in the literature, an application example is presented; this is the denoising of signals by thresholding fractional wavelet coefficients. The experimental results obtained are satisfactory and promising; they show that the performance of fractional wavelets is superior to those of classical wavelets; this is due to the flexibility and high selectivity of fractional filters associated with these fractional bases.
Appears in Collections: Журнал нано- та електронної фізики (Journal of nano- and electronic physics)

Views

Algeria Algeria
1150
India India
52
Japan Japan
1
Mexico Mexico
1
Saudi Arabia Saudi Arabia
57
Singapore Singapore
1
Ukraine Ukraine
3288
United Kingdom United Kingdom
5426
United States United States
291158
Unknown Country Unknown Country
40213

Downloads

Algeria Algeria
5424
China China
90405
France France
1
Germany Germany
1
India India
53
Mexico Mexico
1
Morocco Morocco
1
Saudi Arabia Saudi Arabia
58
Singapore Singapore
1
Taiwan Taiwan
1
Turkey Turkey
1
Ukraine Ukraine
90402
United States United States
291157
Unknown Country Unknown Country
40214

Files

File Size Format Downloads
Lanani_jnep_2_2023.pdf 370.39 kB Adobe PDF 517720

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.