ϕ-linear canonical analytic signals
| Autor: | Bing-Zhao Li, Yan-Na Zhang |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Noise (signal processing)
Spectrum (functional analysis) Mathematical analysis 020206 networking & telecommunications 02 engineering and technology Eigenfunction symbols.namesake Control and Systems Engineering Signal Processing Modulation (music) 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Computer Vision and Pattern Recognition Hilbert transform Sensitivity (control systems) Electrical and Electronic Engineering Linear combination Software Mathematics Single-sideband modulation |
| Zdroj: | Signal Processing. 143:181-190 |
| ISSN: | 0165-1684 |
| Popis: | In this paper, a ϕ-linear canonical Hilbert transform (ϕ-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 ϕ-LCHT are also derived. According to the derivation of a ϕ-LCHT, four different versions of ϕ-linear canonical analytic signals (ϕ-LCASs) are defined and analyzed in detail. Furthermore, ϕ-LCASs are discussed and compared by some valuable properties such as the LCT spectrum and ϕ-LCHT eigenfunction property. In terms of application, a multi-key single-sideband (SSB) modulation scheme is investigated using one of the ϕ-LCASs proposed in this paper, and its performance with respect to noise and sensitivity to security key perturbations is analyzed. |
| Databáze: | OpenAIRE |
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