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    Fractional Fourier domains

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    Date Issued
    1995
    Author
    Ozaktas, H., M.
    Aytür O.
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    Please cite this item using this persistent URL
    http://hdl.handle.net/11693/25909
    Journal
    Signal Processing
    Published as
    http://dx.doi.org/10.1016/0165-1684(95)00076-P
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    • Research Paper [7145]
    Abstract
    It is customary to define the time-frequency plane such that time and frequency are mutually orthogonal coordinates. Representations of a signal in these domains are related by the Fourier transform. We consider a continuum of "fractional" domains making arbitrary angles with the time and frequency domains. Representations in these domains are related by the fractional Fourier transform. We derive transformation, commutation, and uncertainty relations among coordinate multiplication, differentiation, translation, and phase shift operators between domains making arbitrary angles with each other. These results have a simple geometric interpretation in time-frequency space. © 1995.

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    BİLKENT UNIVERSITY

    Copyright © Bilkent University - Library Technical Services | 06800 Bilkent, Ankara TURKEY
    If you have trouble accessing this page and need to request an alternate format, contact the webmaster. Phone: (312) 290 1771

    Contact Us | Send Feedback | Off-Campus Access