Fractional Fourier transform

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Novel Fractional Wavelet Transform with Closed-Form Expression

Journal Title, Volume, Page: 
International Journal of Advanced Computer Science and Applications (IJACSA) 01/2014; 5(1):182-187. DOI:10.14569/issn.2156-5570
Year of Publication: 
2014
Authors: 
K. O. O. Anoh
Mobile and Satellite Communication Research Centre, University of Bradford, United Kingdom
R. A. A. Abd-Alhameed
Mobile and Satellite Communication Research Centre, University of Bradford, United Kingdom
S. M. R. Jones
Mobile and Satellite Communication Research Centre, University of Bradford, United Kingdom
O. Ochonogor
Dept. of Electrical and Electronic Engineering, University of Westminster
Y. A. S. Dama
An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Telecommunication Engineering, Faculty of Engineering and Information Technology, An-Najah National University, Nablus. Palestine
Preferred Abstract (Original): 

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.

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