基于分数希尔伯特变换的广义解析信号

Generalized Analytic Signal Based on Fractional Hilbert Transform

从分数Hilbert变换出发,来考察实信号的复数形式,特别是新的解析信号构造问题.首先简述解析信号和分数Hilbert变换的概念,接着从经典的解析信号入手,提出基于分数Hilbert变换的解析信号构造方法,从而得到一类新解析信号.最后计论新解析信号的一些基本性质其应用.

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.