A new definition of continuous fractional Hartley transform

Soo-Chang Pei, Chien-Cheng Tseng, Min-Hung Yeh, Ding Jian-Jiun
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181)  
This paper is concerned with the definition of the continuous fractional Hartley transform. First, a general theory of 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 fractional Fourier transform (FRFT) and fractional Hartley transform (FRHT) which staisfiy the boundary conditions and additive property simultaneously. Next, an
more » ... taneously. Next, an important relationship between FRFT and FRHT is described. Finally, a numerical example is illustrated to demonstrate the transform results of delta function of FRHT.
doi:10.1109/icassp.1998.681730 dblp:conf/icassp/PeiTYD98 fatcat:7cbxspcqyfformnv4vsbta6xxq