Generalization of the fractional hilbert transform

Ran Tao; Xue Mei Li; Yue Wang

doi:10.1109/LSP.2008.919814

Generalization of the fractional hilbert transform

Ran Tao^*, Xue Mei Li, Yue Wang

^*Corresponding author for this work

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

38 Citations (Scopus)

Abstract

In this letter, we generalize the fractional Hilbert transform of a real signal to get an analytic version which contains no negative spectrum while maintaining the essential information of the real signal. We also present a secure single-sideband (SSB) modulation system in which the angle of the fractional Fourier transform and the phase of the fractional Hilbert transform are used as double keys for demodulation.

Original language	English
Pages (from-to)	365-368
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	15
DOIs	https://doi.org/10.1109/LSP.2008.919814
Publication status	Published - 2008

Keywords

Fractional Hilbert transform
Fractional fourier transform
Single-sideband (SSB)

Access to Document

10.1109/LSP.2008.919814

Cite this

Tao, R., Li, X. M., & Wang, Y. (2008). Generalization of the fractional hilbert transform. IEEE Signal Processing Letters, 15, 365-368. https://doi.org/10.1109/LSP.2008.919814

@article{b41e5be6c02f44fb9e91e2b413d54dfc,

title = "Generalization of the fractional hilbert transform",

abstract = "In this letter, we generalize the fractional Hilbert transform of a real signal to get an analytic version which contains no negative spectrum while maintaining the essential information of the real signal. We also present a secure single-sideband (SSB) modulation system in which the angle of the fractional Fourier transform and the phase of the fractional Hilbert transform are used as double keys for demodulation.",

keywords = "Fractional Hilbert transform, Fractional fourier transform, Single-sideband (SSB)",

author = "Ran Tao and Li, {Xue Mei} and Yue Wang",

year = "2008",

doi = "10.1109/LSP.2008.919814",

language = "English",

volume = "15",

pages = "365--368",

journal = "IEEE Signal Processing Letters",

issn = "1070-9908",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Generalization of the fractional hilbert transform

AU - Tao, Ran

AU - Li, Xue Mei

AU - Wang, Yue

PY - 2008

Y1 - 2008

N2 - In this letter, we generalize the fractional Hilbert transform of a real signal to get an analytic version which contains no negative spectrum while maintaining the essential information of the real signal. We also present a secure single-sideband (SSB) modulation system in which the angle of the fractional Fourier transform and the phase of the fractional Hilbert transform are used as double keys for demodulation.

AB - In this letter, we generalize the fractional Hilbert transform of a real signal to get an analytic version which contains no negative spectrum while maintaining the essential information of the real signal. We also present a secure single-sideband (SSB) modulation system in which the angle of the fractional Fourier transform and the phase of the fractional Hilbert transform are used as double keys for demodulation.

KW - Fractional Hilbert transform

KW - Fractional fourier transform

KW - Single-sideband (SSB)

UR - http://www.scopus.com/inward/record.url?scp=67650124164&partnerID=8YFLogxK

U2 - 10.1109/LSP.2008.919814

DO - 10.1109/LSP.2008.919814

M3 - Article

AN - SCOPUS:67650124164

SN - 1070-9908

VL - 15

SP - 365

EP - 368

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

ER -

Generalization of the fractional hilbert transform

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this