Title :
A Generalized Bedrosian Theorem in Fractional Fourier Domain
Author :
Fu, Yingxiong ; Li, Luoqing
Author_Institution :
Fac. of Math. & Comput. Sci., Hubei Univ., Wuhan
Abstract :
In terms of the fractional Fourier transform and the generalized Hilbert transform, in this note, we prove the kernel function K-p (u,t) of the inverse fractional Fourier transform is a generalized analytic signal. Since there is a close relation between analytic signals and Bedrosian theorem, the generalized Bedrosian theorem is provided in the fractional Fourier domain
Keywords :
Fourier transforms; Hilbert transforms; inverse problems; signal processing; generalized Bedrosian theorem; generalized Hilbert transform; generalized analytic signal; inverse fractional Fourier transform; kernel function; Chirp modulation; Computer science; Fourier transforms; Frequency; Kernel; Laboratories; Mathematics; Signal analysis;
Conference_Titel :
Computational Intelligence and Security, 2006 International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
1-4244-0605-6
Electronic_ISBN :
1-4244-0605-6
DOI :
10.1109/ICCIAS.2006.295369