Generalized Uncertainty Principles associated with One-Dimensional Hilbert Transform on LCT

摘要：

　　This paper discusses the Heisenbergs uncertainty principle and windowed uncertainty principle associated with 1D linear canonical transform (LCT) and the Heisenbergs uncertainty principle associated with two types of 2D LCT for the first time.These uncertainty bounds are related with the transform parameters of LCT.Also,we show that the certainty bounds for the complex signals derived by LCT are different with that for the general complex signals in most cases.The special cases of these principles in traditional domains are provided as well.On one hand,these new uncertainty relations enrich the ensemble of uncertainty principles,and on the other hand,these derived bounds yield new understanding of complex signals via Hilbert transform.

关键词： Uncertainty Principle Linear Canonical Transform(LCT) Generalized Hilbert Transform(GHT) Complex Signals

作者: ZHOU Jianjun CHEN Jie XU Guanlei

作者单位: Naval Academy of Armament, Beijing of China, 102200 Department of Oceanography of Dalian Naval Academy, Dalian of China,116018

会议类型: 国际会议

会议名称: 2016 2nd International Conference on Mechanical, Electronic and Information Technology Engineering(2016机械、电子和信息技术国际会议)

会议地点: 重庆

会议语种:英文

页码: 28-32

在线出版日期: 2016-03-21（万方平台首次上网日期，不代表论文的发表时间）