Dept. of Electr. Eng., National Taiwan Univ.SOO-CHANG PEITseng, Chien-ChengChien-ChengTsengYeh, Min-HungMin-HungYehJIAN-JIUN DING2007-04-192018-07-062007-04-192018-07-061998-0515206149http://ntur.lib.ntu.edu.tw//handle/246246/2007041910021806https://www.scopus.com/inward/record.uri?eid=2-s2.0-0031625504&doi=10.1109%2fICASSP.1998.681730&partnerID=40&md5=832d4bd03b6e84efc72a244e4cc0e638This 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.application/pdf281713 bytesapplication/pdfen-USDelta 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 transformconference paper10.1109/ICASSP.1998.6817302-s2.0-0031625504http://ntur.lib.ntu.edu.tw/bitstream/246246/2007041910021806/1/00681730.pdf