An uncertainty principle for linear canonical transform

Yonggang Li; Chuan Zhang

doi:10.1117/12.3025831

8 April 2024 An uncertainty principle for linear canonical transform

Yonggang Li, Chuan Zhang

Proceedings Volume 13090, International Conference on Computer Application and Information Security (ICCAIS 2023); 130902Q (2024) https://doi.org/10.1117/12.3025831
Event: International Conference on Computer Application and Information Security (ICCAIS 2023), 2023, Wuhan, China

Abstract

The Heisenberg uncertainty principle indicates the position and momentum for one particle cannot be determined at the same time. In signal processing, it points out that the frequency domain resolution and time domain resolution of one signal cannot be too small at the same time. As a general form of Fourier transform, the linear canonical transform (LCT) has made great contributions in signal processing. In this paper, an uncertainty principle for n-dimensional LCT, based on which some generalizations for LCT are obtained.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Yonggang Li and Chuan Zhang "An uncertainty principle for linear canonical transform", Proc. SPIE 13090, International Conference on Computer Application and Information Security (ICCAIS 2023), 130902Q (8 April 2024); https://doi.org/10.1117/12.3025831

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