Wavelet-fractional Fourier transforms

2008 Chin. Phys. Soc. and IOP Publishing Ltd
, , Citation Yuan Lin 2008 Chinese Phys. B 17 170 DOI 10.1088/1674-1056/17/1/030

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ylin@zjnu.cn

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1 College of Mathematics Physics and Information, Zhejiang Normal University, Jinhua 321004, China

Dates

  1. Received 7 December 2006
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1674-1056/17/1/170

Abstract

This paper extends the definition of fractional Fourier transform (FRFT) proposed by Namias V by using other orthonormal bases for L2 (R) 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.

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