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2005•Journal of Sichuan UniversityRequires access

Generalized Analytic Signal Based on Fractional Hilbert Transform

Xudong Teng

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Abstract

Topics on construction of complex representation,especially analytic signal of real signal and studied from the viewpoint of fractional Hilbert transform.Firstly,a brief survey on andlytic signal and fractional Hilbert transform is given.Next construction method of analytic signal based on fractional Hilbert transform is proposed,and a new kind of analytic signal is obtained.Finally,some basic properties and corresponding ap-plications are discussed.

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What this paper is about

Topics on construction of complex representation,especially analytic signal of real signal and studied from the viewpoint of fractional Hilbert transform.Firstly,a brief survey on andlytic signal and fractional Hilbert transform is given.Next construction method of analytic signal based on fractional Hilbert transform is proposed,and a new kind of analytic signal is obtained.Finally,some basic properties and corresponding ap-plications are discussed.

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Available abstract

Topics on construction of complex representation,especially analytic signal of real signal and studied from the viewpoint of fractional Hilbert transform.Firstly,a brief survey on andlytic signal and fractional Hilbert transform is given.Next construction method of analytic signal based on fractional Hilbert transform is proposed,and a new kind of analytic signal is obtained.Finally,some basic properties and corresponding ap-plications are discussed.

Key concepts: Analytic signal, Hilbert transform, Hilbert spectral analysis, Hilbert–Huang transform, Fractional Fourier transform, SIGNAL (programming language), Mathematics, Representation (politics)

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