Derivation and discrete implementation for analytic signal of linear canonic transform
Journal
Journal of the Optical Society of America A: Optics and Image Science, and Vision
Journal Volume
30
Journal Issue
5
Pages
987-992
Date Issued
2013-05
Author(s)
Y. C. Lai
Abstract
Analytic signal and Hilbert transform associated with linear canonical transform (LCT) have been developed [Opt. Commun.281, 1468 (2008)]. However, the aforementioned paper has some drawbacks; for example, this kind of analytic signal cannot preserve the positive frequency bands of the original signal under LCT operations. In this paper, these drawbacks are pointed out, and a better definition for analytic signal associated with LCT is proposed. In addition, a discrete implementation for the analytic signal associated with discrete LCT is also provided. Several numerical examples, shown with both time and Wigner time-frequency domains, are demonstrated to illustrate the efficiency and accuracy of the proposed LCT analytic signal.
Type
journal article