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Research progress on discretization of fractional Fourier transform

✍ Scribed by Ran Tao; Feng Zhang; Yue Wang


Publisher
Science in China Press (SCP)
Year
2008
Tongue
English
Weight
233 KB
Volume
51
Category
Article
ISSN
1674-733X

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Continuous vs. discrete fractional Fouri
✍ Natig M. Atakishiyev; Luis Edgar Vicent; Kurt Bernardo Wolf πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 457 KB

We compare the ΓΏnite Fourier (-exponential) and Fourier-Kravchuk transforms; both are discrete, ΓΏnite versions of the Fourier integral transform. The latter is a canonical transform whose fractionalization is well deΓΏned. We examine the harmonic oscillator wavefunctions and their ΓΏnite counterparts: