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Novel Fractional Wavelet Transform with Closed-Form Expression

Anoh, Kelvin O.O.
; ; 
Jones, Steven M.R.
; 
Ochonogor, O.
; 
Dama, Yousef A.S.
Publication Date
2014-08
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Keywords
Fractional Fourier transform, Wavelet, Fractional wavelet transform
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© 2014 The Authors. Published by SAI. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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openAccess
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Engineering and Digital Technology Publications
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Abstract
A new wavelet transform (WT) is introduced based on the fractional properties of the traditional Fourier transform. The new wavelet follows from the fractional Fourier order which uniquely identifies the representation of an input function in a fractional domain. It exploits the combined advantages of WT and fractional Fourier transform (FrFT). The transform permits the identification of a transformed function based on the fractional rotation in time-frequency plane. The fractional rotation is then used to identify individual fractional daughter wavelets. This study is, for convenience, limited to one-dimension. Approach for discussing two or more dimensions is shown.
URI
http://hdl.handle.net/10454/8669
Version
Published version
Citation
Anoh KOO, Abd-Alhameed R, Jones SMR et al (2014) Novel Fractional Wavelet Transform with Closed-Form Expression. International Journal of Advanced Computer Science and Applications. 5(1): 182-187.
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Link to Version of Record
https://doi.org/10.14569/IJACSA.2014.050126#sthash.Dddztulm.dpuf
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Article
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