DocumentCode
477163
Title
Nontrivial generalized analytic signals
Author
Fu, Ying-xiong ; Li, Luo-qing
Author_Institution
Key Lab. of Appl. Math., Wuhan
Volume
1
fYear
2008
fDate
30-31 Aug. 2008
Firstpage
442
Lastpage
446
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICWAPR.2008.4635820
Filename
4635820
Link To Document