Novel Fractional Wavelet Transform with Closed-Form Expression

Description

Yes / 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.

Links & Downloads

1. 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.
2. http://hdl.handle.net/10454/8669
3. https://doi.org/10.14569/IJACSA.2014.050126#sthash.Dddztulm.dpuf

Tags

Fractional Fourier transform

Wavelet

Fractional wavelet transform

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/8669
Date	08 1900
Creators	Anoh, Kelvin O.O., Abd-Alhameed, Raed, Jones, Steven M.R., Ochonogor, O., Dama, Yousef A.S.
Source Sets	Bradford Scholars
Language	English
Detected Language	English
Type	Article, Published version
Rights	© 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/)., CC-BY-NC-ND