Abstract This paper extends the definition of fractional Fourier transform (FRFT) proposed by Namias V by using other orthonormal bases for $L^{2}\left( R \right)$ instead of Hermite--Gaussian functions. The new orthonormal basis is gained indirectly from multiresolution analysis and orthonormal wavelets. The so defined FRFT is called wavelets-fractional Fourier transform.
Accepted manuscript online:
PACS:
42.30.Kq
(Fourier optics)
Fund: Project supported
by the Young People Foundation of Zhejiang Normal University, China
(Grant No KYJ06Y07150).
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