Uncertainty principle and application of the biquaternion windowed linear canonical transform

Authors

  • Yi-Ting Zhu Author
  • Wen-Biao Gao Yangzhou University Author

DOI:

https://doi.org/10.2298/FIL2607625Z

Keywords:

Linear canonical transform, Windowed linear canonical transform , Uncertainty principle

Abstract

In this paper, the windowed linear canonical transform associated with biquaternion is given, which is called the biquaternion windowed linear canonical transforms (BiQWLCT). Then, the inversion transform and Plancherel formula of the BiQWLCT are derived. Next, Donoho-Stark's uncertainty principle for the BiQWLCT is obtained. Finally, using Donoho-Stark's uncertainty principle of the BiQWLCT, the signal recovery is studied.

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Published

2026-03-30

Issue

Vol. 40 No. 07 (2026)

Section

Articles