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arXiv · 1910.00499

Uncertainty principles for the short-time linear canonical transform of complex signals

Wen-Biao Gao·Bing-Zhao Li
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Abstract

The short-time linear canonical transform (STLCT) can be identified as a generalization of the short-time Fourier transform (STFT). It is a novel time-frequency analysis tool. In this paper, we generalize some different uncertainty principles for the STLCT of complex signals. Firstly, one uncertainty principle for the STLCT of complex signals in time and frequency domains is derived. Secondly, the uncertainty principle for the STLCT of complex signals in two STLCT domains is obtained. Finally, the uncertainty principle for the two conditional standard deviations of the spectrogram associated with the STLCT is discussed.

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Wen-Biao Gao, Bing-Zhao Li. 2019-09-28. Uncertainty principles for the short-time linear canonical transform of complex signals. https://arxiv.org/abs/1910.00499

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