ϕ-linear canonical analytic signals

Yan Na Zhang; Bing Zhao Li

doi:10.1016/j.sigpro.2017.09.008

ϕ-linear canonical analytic signals

Yan Na Zhang, Bing Zhao Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	181-190
Number of pages	10
Journal	Signal Processing
Volume	143
DOIs	https://doi.org/10.1016/j.sigpro.2017.09.008
Publication status	Published - Feb 2018

Keywords

Linear canonical transform
Single-sideband modulation
ϕ-linear canonical Hilbert transform
ϕ-linear canonical analytic signal

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10.1016/j.sigpro.2017.09.008

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title = "ϕ-linear canonical analytic signals",

abstract = "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.",

keywords = "Linear canonical transform, Single-sideband modulation, ϕ-linear canonical Hilbert transform, ϕ-linear canonical analytic signal",

author = "Zhang, {Yan Na} and Li, {Bing Zhao}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2018",

month = feb,

doi = "10.1016/j.sigpro.2017.09.008",

language = "English",

volume = "143",

pages = "181--190",

journal = "Signal Processing",

issn = "0165-1684",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - ϕ-linear canonical analytic signals

AU - Zhang, Yan Na

AU - Li, Bing Zhao

PY - 2018/2

Y1 - 2018/2

N2 - 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.

AB - 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.

KW - Linear canonical transform

KW - Single-sideband modulation

KW - ϕ-linear canonical Hilbert transform

KW - ϕ-linear canonical analytic signal

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U2 - 10.1016/j.sigpro.2017.09.008

DO - 10.1016/j.sigpro.2017.09.008

M3 - Article

AN - SCOPUS:85029159409

SN - 0165-1684

VL - 143

SP - 181

EP - 190

JO - Signal Processing

JF - Signal Processing

ER -

ϕ-linear canonical analytic signals

Abstract

Keywords

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