Generalized Uncertainty Inequalities on Fisher Information Associated with LCT

• 作者: Guanlei Xu Xiaogang Xu Xiaotong Wang
• 来源期刊: 北京理工大学学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 217-227
• 页数: 11页
• 语种: 英文
• DOI: 10.15918/j.jbit1004-0579.2021.025

摘要

Uncertainty principle plays an important role in multiple fields such as physics, mathem-atics, signal processing, etc. The linear canonical transform (LCT) has been used widely in optics and information processing and so on. In this paper, a few novel uncertainty inequalities on Fisher information associated with linear canonical transform are deduced. These newly deduced uncer-tainty relations not only introduce new physical interpretation in signal processing, but also build the relations between the uncertainty lower bounds and the LCT transform parameters a, b, c and d for the first time, which give us the new ideas for the analysis and potential applications. In addi-tion, these new uncertainty inequalities have sharper and tighter bounds which are the generalized versions of the traditional counterparts. Furthermore, some numeric examples are given to demon-strate the efficiency of these newly deduced uncertainty inequalities.