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    On fractional fourier transform and the schrodinger equation of harmonic oscillation

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    Date
    2005
    Author
    Gathogo, Roxana
    Type
    Thesis
    Language
    en
    Metadata
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    Abstract
    The Fractional Fourier Transform (FRFT) is a time-varying spectrum analysis technique for non-stationary signals and processes. In recent years it has attracted a considerable amount of attention, resulting in many applications in the areas of optics and signal processing. However, it has received attention of a few mathematicians since it was re-discovered/re-invented in the eighties. Hence a satisfactory definition of the Fractional Fourier Transform (FRFT) that is fully consistent with the ordinary Fourier Transform is lacking. In this study, we aim to consolidate mathematically a definition of the Fractional Fourier Transform (FRFT) that has the same relation with the ordinary Fourier transform and discuss its relationship to the Schrodinger equation of the harmonic oscillation.
    URI
    http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/23592
    Citation
    Master of science in applied mathematics
    Sponsorhip
    University of Nairobi
    Collections
    • Faculty of Science & Technology (FST) [3797]

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