title: Derivation and discrete implementation for analytic signal of linear canonical transform.
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.
authors.affiliation: Graduate Institute of Communication Engineering, National Taiwan University, Taipei 10617, Taiwan. pei@cc.ee.ntu.edu.tw
authors.forename: Soo-Chang
authors.initials: SC
authors.lastname: Pei
authors.forename: Yun-Chiu
authors.initials: YC
authors.lastname: Lai