摘要
线性正则变换作为Fourier变换和分数阶Fourier变换的广义形式,具有更强的灵活性,在非平稳信号处理中具有独特的优势,已经在信号处理领域引起了广泛的关注。首先阐述了线性正则变换的基本定义与性质,然后着重介绍了在信号处理中的应用,最后对当前线性正则变换在故障诊断中的应用进行了探讨。
As a generalization of the Fourier transform and the fraction Fourier transform,the linear canonical trans-form （LCT） is more flexible and has unique advantages in non-stationary signal processing. tt also has receivedmuch attention in the tield of signal processing. In this paper,the definition and basic properties of LCT were fir^t expounded. Then the applications of LCT in signal processing were focused on. Finally,the application of LCT in fautt diagnosis was discussed.
出处
《山东科技大学学报（自然科学版）》
CAS
2017年第5期43-51,共9页
Journal of Shandong University of Science and Technology(Natural Science)
基金
国家自然科学基金重点项目(61633005)
国家自然科学基金项目(61673076
61374135)
重庆市自然科学基金项目(cstc2015jcyjA0480
cstc2016jcyjA1255)
关键词
线性正则变换
信号处理
故障诊断
linear canonical transform （LCT）
signal processing
fault diagnosis
