Title :
Fractional cosine and sine transforms in relation to the fractional Fourier and Hartley transforms
Author :
Alieva, T. ; Bastiaans, M.J.
Author_Institution :
Fac. de Ciencias Fisicas, Univ. Complutense de Madrid, Spain
Abstract :
The fractional cosine and sine transforms-closely related to the fractional Fourier transform, which is now actively used in optics and signal processing, and to the fractional Hartley transform-are introduced and their main properties and possible applications as elementary fractional transforms of causal signals are discussed.
Keywords :
Fourier transforms; Hartley transforms; eigenvalues and eigenfunctions; optics; quantum theory; signal processing; Fourier transforms; Hartley transform; elementary fractional transform; fractional cosine transform; fractional sine transform; optics; signal processing; Additives; Computed tomography; Fourier transforms; Kernel; Linearity; Optical signal processing; Quantum mechanics; Signal analysis; Signal processing;
Conference_Titel :
Signal Processing and Its Applications, 2003. Proceedings. Seventh International Symposium on
Print_ISBN :
0-7803-7946-2
DOI :
10.1109/ISSPA.2003.1224765
