Uncertainty principles for the offset linear canonical transform

2021 ◽  
Vol 12 (3) ◽  
Author(s):  
Abdelghani Elgargati ◽  
Radouan Daher
Keyword(s):  
Linear Canonical Transform ◽  
Uncertainty Principles ◽  
Offset Linear Canonical Transform

scholarly journals Uncertainty principles for the windowed offset linear canonical transform

2021 ◽  
Author(s):  
Wen-Biao Gao ◽  
Bing-Zhao Li
Keyword(s):  
Uncertainty Principle ◽  
Summation Formula ◽  
Poisson Summation Formula ◽  
Linear Canonical Transform ◽  
Uncertainty Principles ◽  
Heisenberg Uncertainty Principle ◽  
Heisenberg Uncertainty ◽  
Offset Linear Canonical Transform ◽  
Poisson Summation

The windowed offset linear canonical transform (WOLCT) can be identified as a generalization of the windowed linear canonical transform (WLCT). In this paper, we generalize several different uncertainty principles for the WOLCT, including Heisenberg uncertainty principle, Hardy’s uncertainty principle, Donoho–Stark’s uncertainty principle and Nazarov’s uncertainty principle. Finally, as application analogues of the Poisson summation formula and sampling formulas are given.

The extrapolation of bandlimited signals in the offset linear canonical transform domain

Optik ◽  
2019 ◽  
Vol 180 ◽  
pp. 626-634 ◽  
Author(s):  
Shuiqing Xu ◽  
Songbing Tao ◽  
Yi Chai ◽  
Xi Yang ◽  
Yigang He
Keyword(s):  
Transform Domain ◽  
Linear Canonical Transform ◽  
Bandlimited Signals ◽  
Offset Linear Canonical Transform

Uncertainty principles associated with multi-dimensional linear canonical transform

2021 ◽  
Author(s):  
Owais Ahmad ◽  
A. Achak ◽  
Neyaz A. Sheikh ◽  
Ujwal Warbhe
Keyword(s):  
Linear Canonical Transform ◽  
Uncertainty Principles

The main objective of this paper is to establish Heisenberg’s and Beckner’s uncertainty principles associated with multi-dimensional linear canonical transform.

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