Title :
Nontrivial generalized analytic signals
Author :
Fu, Ying-xiong ; Li, Luo-qing
Author_Institution :
Key Lab. of Appl. Math., Wuhan
Abstract :
In this paper, the generalized circular Hilbert transform with arbitrary phase shift is defined, furthermore, the related generalized circular analytic signal is discussed in terms of the property of the negative-Fourier frequency vanishing. By Cayley transform, we get the generalized analytic signal on the whole time range. Some examples are presented.
Keywords :
Fourier transforms; Hilbert transforms; Cayley transform; arbitrary phase shift; generalized circular Hilbert transform; negative-Fourier frequency vanishing; nontrivial generalized analytic signals; Computer science; Fourier series; Fourier transforms; Hafnium; Laboratories; Mathematics; Pattern analysis; Pattern recognition; Signal analysis; Wavelet analysis; Analytic signal; Cayley transform; Circular Hilbert transform; Mono-component;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635820
