中文摘要：

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．本文提出了Hilbert—Huang变换在线性正则域的一种新推广．这种新推广先利用经验模态分解将信号转换成固有模态函数，再引入另一种线性正则域的Hilbert变换对固有模态函数进行Hilbert谱分析，从而得到Hilbert—Huang变换在线性正则域的一种新推广．

英文摘要：

Hilbert-Huang transform is an efficient non-stationary signal analysis tool. In its processing, two aspects are included. （i） empirical mode decompositiong （ii） Hilbert spectral analysis. In 2012, Li, Tao and Wang proposed a generalized Hilbert-Huang transform associated the linear canonical trans- form, so as to obtain a more flexible tool. In this paper, we propose a new Hilbert-Huang transform as- sociated with the linear canonical transform. We firstly decompose the signal into instrinsic mode func- tions by useing empirical mode decomposition. Then we introduce another Hilber transform associted the linear canonical transform and we get a new Hilbert spectral analysis of instrinsic mode functions.