A new definition of continuous fractional Hartley transform
Journal
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Journal Volume
3
Pages
1485-1488
Date Issued
1998-05
Date
1998-05
Author(s)
Abstract
This paper is concerned with the definition of the continuous fractional Hartley transform. First, a general theory of the linear fractional transform is presented to provide a systematic procedure to define the fractional version of any well-known linear transforms. Then, the results of general theory are used to derive the definitions of the fractional Fourier transform (FRFT) and fractional Hartley transform (FRHT) which satisfy the boundary conditions and additive property simultaneously. Next, an important relationship between FRFT and FRHT is described. Finally, a numerical example is illustrated to demonstrate the transform results of the delta function of FRHT. © 1998 IEEE.
Other Subjects
Delta functions; Signal processing; Boundary conditions; Eigenvalues and eigenfunctions; Mathematical models; Mathematical operators; Fractional Fourier transforms; Fractional transforms; General theory; Hartley transform; Linear transform; Mathematical transformations; Fourier transforms; Continuous fractional Hartley transform; Linear fractional transform
Type
conference paper
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