| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4977427 | Signal Processing | 2018 | 10 Pages |
Abstract
In this paper, a Ï-linear canonical Hilbert transform (Ï-LCHT) is proposed by a linear combination of a given signal and its parameter Hilbert transform (PHT). Herein, a PHT is a generalized HT based on the linear canonical transform (LCT). Some essential properties of a Ï-LCHT are also derived. According to the derivation of a Ï-LCHT, four different versions of Ï-linear canonical analytic signals (Ï-LCASs) are defined and analyzed in detail. Furthermore, Ï-LCASs are discussed and compared by some valuable properties such as the LCT spectrum and Ï-LCHT eigenfunction property. In terms of application, a multi-key single-sideband (SSB) modulation scheme is investigated using one of the Ï-LCASs proposed in this paper, and its performance with respect to noise and sensitivity to security key perturbations is analyzed.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Yan-Na Zhang, Bing-Zhao Li,