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Research Article | Open Access |

Novel Fractional Wavelet Transform with Closed-Form Expression

Author 1: K. O. O. Anoh Author 2: R. A. A. Abd-Alhameed Author 3: S. M. R. Jones Author 4: O. Ochonogor
International Journal of Advanced Computer Science and Applications (IJACSA) · Vol. 5, No. 1 · Published 2014

DOI: https://doi.org/10.14569/IJACSA.2014.050126

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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.

Keywords

Fractional Fourier transform wavelet fractional wavelet transform

How to Cite this Article

Anoh, K. O. O., Abd-Alhameed, R. A. A., Jones, S. M. R., & Ochonogor, O. (2014). Novel Fractional Wavelet Transform with Closed-Form Expression. International Journal of Advanced Computer Science and Applications, 5(1). https://doi.org/10.14569/IJACSA.2014.050126

Anoh, K. O. O., et al.. "Novel Fractional Wavelet Transform with Closed-Form Expression." International Journal of Advanced Computer Science and Applications, vol. 5, no. 1, 2014, https://doi.org/10.14569/IJACSA.2014.050126.

@article{Anoh2014,
  title     = {Novel Fractional Wavelet Transform with Closed-Form Expression},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {5},
  number    = {1},
  year      = {2014},
  publisher = {The Science and Information Organization},
  author    = {K. O. O. Anoh and R. A. A. Abd-Alhameed and S. M. R. Jones and O. Ochonogor},
  doi       = {10.14569/IJACSA.2014.050126},
  url       = {https://doi.org/10.14569/IJACSA.2014.050126}
}

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