φ-linear canonical analytic signals

作者：Zhang, Yan-Na; Li, Bing-Zhao^*

来源：Signal Processing, 2018, 143: 181-190.

DOI：10.1016/j.sigpro.2017.09.008

• phi-linear canonical Hilbert transform
• phi-linear canonical analytic signal
• Linear canonical transform
• Single-sideband modulation

In this paper, a phi-linear canonical Hilbert transform (phi-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 phi-LCHT are also derived. According to the derivation of a phi-LCHT, four different versions of phi-linear canonical analytic signals (phi-LCASs) are defined and analyzed in detail. Furthermore, phi-LCASs are discussed and compared by some valuable properties such as the LCT spectrum and phi-LCHT eigenfunction property. In terms of application, a multi-key single-sideband (SSB) modulation scheme is investigated using one of the phi-LCASs proposed in this paper, and its performance with respect to noise and sensitivity to security key perturbations is analyzed.

• 出版日期2018-2
• 单位北京理工大学