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

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

38 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	365-368
页数	4
期刊	IEEE Signal Processing Letters
卷	15
DOI	https://doi.org/10.1109/LSP.2008.919814
出版状态	已出版 - 2008

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10.1109/LSP.2008.919814

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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

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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.",

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AU - Tao, Ran

AU - Li, Xue Mei

AU - Wang, Yue

PY - 2008

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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)

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U2 - 10.1109/LSP.2008.919814

DO - 10.1109/LSP.2008.919814

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

ER -

Generalization of the fractional hilbert transform

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