基于矢量旋转的广义解析信号

Generalized Analytic Signal Based on Vector Rotation

从矢量旋转的角度出发,来考察实信号的复数形式,特别是新的解析信号的构造问题.首先简述解析信号和复平面矢量的概念,从经典的解析信号入手,提出了基于矢量旋转的解析信号的构造方法,从而得到一类新的解析信号.最后说明新解析信号与分数Hilbert变换的联系,并讨论新解析信号的一些基本性质及其应用.

Topics on construction of Complex representation, especially analytic signal of real signal are studied from the viewpoint of vector rotation. Firstly, a brief survey on analytic signal and vector in complex plane is given. Next, construction method of analytic signal based on vector rotation is proposed, and a kind of analytic signal is obtained. Finally, some basic properties and corresponding applications are discussed.