Uncertainty principles for the windowed offset linear canonical transform

Wen Biao Gao; Bing Zhao Li

doi:10.1142/S0219691321500429

Uncertainty principles for the windowed offset linear canonical transform

Wen Biao Gao
, Bing Zhao Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Article number	2150042
Journal	International Journal of Wavelets, Multiresolution and Information Processing
Volume	20
Issue number	1
DOIs	https://doi.org/10.1142/S0219691321500429
Publication status	Published - 1 Jan 2022

Keywords

Linear canonical transform
offset linear canonical transform
uncertainty principle
windowed linear canonical transform
windowed offset linear canonical transform

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10.1142/S0219691321500429

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AB - 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.

KW - Linear canonical transform

KW - offset linear canonical transform

KW - uncertainty principle

KW - windowed linear canonical transform

KW - windowed offset linear canonical transform

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Uncertainty principles for the windowed offset linear canonical transform

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Keywords

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