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arXiv · 1907.06469

Uncertainty principles for the windowed offset linear canonical transform

Wen-Biao Gao·Bing-Zhao Li
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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, Beurling's uncertainty principle, Lieb's uncertainty principle, Donoho-Stark's uncertainty principle, Amrein-Berthier-Benedicks's uncertainty principle, Nazarov's uncertainty principle and Logarithmic uncertainty principle.

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Wen-Biao Gao, Bing-Zhao Li. 2019-11-06. Uncertainty principles for the windowed offset linear canonical transform. https://arxiv.org/abs/1907.06469

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