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- W70324571 abstract "Abstract In this paper we have discussed the analyticity theorem and inversion formula for the generalized fractional Hartley transform and using that we have proved uniqueness theorem. Also we have discussed fractional Hartley transform of selected functions and obtained operation transform formulae for this transform. Keywords : Fractional Fourier transform, Hartley transform, Testing function space, Generalized function 1. Introduction : Now a days, fractional integral transforms play an important role in signal processing, image reconstruction, pattern recognition, accostic signal processing [8], [9]. Fourier analysis is one of the most frequently used tools in signal processing and many other scientific disciplines. Beside the Fourier transform for time frequency representation of signal, Wigner distribution, the ambiguity function, the short time fourier transform and the spectrogram are often used. e.g in speech processing radar, quantum physics. In mathematics literature a generalization of the Fourier transform to the fractional Fourier transform is as under. Namias [10] introduced the concept of Fourier transform of fractional order, which depends on a continuous parameterα. The generalization of ordinary fourier transform and it’s properties were discussed in Cariolaro et.al [3] Zayed [1] Dragoman [4] etc. Fractional fourier transform is further generalized to the integral with respect to new measure" @default.
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- W70324571 date "2008-01-01" @default.
- W70324571 modified "2023-09-23" @default.
- W70324571 title "Analyticity and Operation Transform on Generalized Fractional Hartley Transform" @default.
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