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3-D generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain
  • Zhenfeng Cai,
  • Kit Ian Kou
Zhenfeng Cai
Hubei University of Technology

Corresponding Author:[email protected]

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Kit Ian Kou
University of Macau
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The analytic signal is a useful mathematical tool. It separates qualitative and quantitative information of a signal in form of the local phase and local amplitude. The Clifford Fourier transform (CFT) plays a vital role in the representation of multidimensional signals. By generalizing the CFT to the Clifford linear canonical transform (CLCT), we present a new type of Clifford biquaternionic analytic signal. Due to the advantages of more freedom, the envelop detection problems of 3D images, with the help of this new analytic signal, can get a better visual appearance. Synthesis examples are presented to demonstrate these advantages.
14 Jul 2022Submitted to Mathematical Methods in the Applied Sciences
14 Jul 2022Submission Checks Completed
14 Jul 2022Assigned to Editor
22 Jul 2022Reviewer(s) Assigned
07 Jan 2023Review(s) Completed, Editorial Evaluation Pending
08 Jan 2023Editorial Decision: Revise Minor
10 Feb 20231st Revision Received
16 Feb 2023Submission Checks Completed
16 Feb 2023Assigned to Editor
16 Feb 2023Review(s) Completed, Editorial Evaluation Pending
18 Feb 2023Reviewer(s) Assigned
27 Feb 2023Editorial Decision: Accept