Hilbert-Huang变换在线性正则域的新推广

New Hilbert-Huang transform associated with linear canonical transform

摘要:

Hilbert-Huang变换是一种重要的非平稳信号分析工具，其对信号的处理包含两个方面：（i）经验模态分解；（ii）Hilbert谱分析. 2012年，Li，Tao和Wang利用线性正域上的Hilbert变换将该变换推广到线性正则域，从而获得了一种更为灵活的信号分析工具. 本文给出了Hilbert-Huang变换在线性正则域的另一种推广.

Abstract:

Hilbert-Huang transform is an efficient non-stationary signal analysis tool. In its processing, two aspects are included: (i) empirical mode decomposition; (ii) Hilbert spectral analysis. In 2012, Li, Tao and Wang proposed a generalized Hilbert-Huang transform associated the linear canonical transform, so as to obtain a more flexible tool. In this paper, a new Hilbert-Huang transform associated with the linear canonical transform is proposed.