Sharper Hardy Uncertainty Relations on Signal Concentration in Terms of Linear Canonical Transform  

作　　者：Xiaogang XU Guanlei XU Xiaotong WANG 

机构地区：[1]College of Computer and Information Engineering,Zhejiang Gongshang University,Hangzhou 310018,China

出　　处：《Chinese Journal of Electronics》2024年第5期1317-1325,共9页电子学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.61771020 and 61471412);the Zhejiang Great Project(Grant No.2021PE0AC04)。

摘　　要：Linear canonical transform is of much significance to optics and information science.Hardy uncertainty principle,like Heisenberg uncertainty principle,plays an important role in various fields.In this paper,four new sharper Hardy uncertainty relations on linear canonical transform are derived.These new derived uncertainty relations are connected with the linear canonical transform parameters and indicate new insights for signal energy concentration.Especially,for certain transform parameters,e.g.b=0,these new proposed uncertainty relations break the traditional counterparts in signal energy concentration,as will result in new physical interpretation in terms of uncertainty principle.Theoretical analysis and numerical examples are given to show the efficiency of these new relations.

关 键 词：Hardy uncertainty principle Linear canonical transform Signal concentration 

分 类 号：TN911.7[电子电信—通信与信息系统]