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Two Twinning operators when imposing nonlinear modulation in Short-Time Fourier Transform
  • Yue Su,
  • Feng Ye
Yue Su
South China Agricultural University
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Feng Ye
Software Engineering Institute of Guangzhou

Corresponding Author:[email protected]

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Abstract

Two types of short-time Fourier transforms involving respectively nonlinear modulation and nonlinear translation are designed in this note. Some important properties such as twin in time-frequency domain and orthogonality relations are investigated. Moreover, Lieb type inequalities and uncertainty principle are established.
Submitted to Mathematical Methods in the Applied Sciences
Submission Checks Completed
Assigned to Editor
Reviewer(s) Assigned
03 Jul 2024Review(s) Completed, Editorial Evaluation Pending
06 Jul 2024Reviewer(s) Assigned
13 Sep 2024Editorial Decision: Revise Minor
26 Sep 20241st Revision Received
27 Sep 2024Submission Checks Completed
27 Sep 2024Assigned to Editor
27 Sep 2024Review(s) Completed, Editorial Evaluation Pending
29 Sep 2024Reviewer(s) Assigned
11 Oct 2024Editorial Decision: Accept