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Sampling formulas for non-bandlimited quaternionic signals
Hu, Xiaoxiao1; Kou, Kit Ian2
Source PublicationSignal, Image and Video Processing

In this paper, sampling theorems for certain types of non-bandlimited quaternionic signals are proposed. We show that the non-bandlimited quaternionic signal can be reconstructed from its samples as well as the samples of its generalized Hilbert transforms associated with quaternion Fourier and linear canonical transform. Some simulations are provided to show how the sampling formulas can be used in applications.

KeywordNon-bandlimited Quaternionic Signal Quaternion Fourier Transform Quaternion Linear Canonical Transform
URLView the original
Indexed BySCIE
WOS Research AreaEngineering ; Imaging Science & Photographic Technology
WOS SubjectEngineering, Electrical & Electronic ; Imaging Science & Photographic Technology
WOS IDWOS:000749030600003
Scopus ID2-s2.0-85123934037
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Corresponding AuthorHu, Xiaoxiao
Affiliation1.The First Affiliated Hospital of Wenzhou Medical University, Wenzhou Medical University, Zhejiang, 325000, China
2.Department of Mathematics, University of Macau, Taipa, Macao
Recommended Citation
GB/T 7714
Hu, Xiaoxiao,Kou, Kit Ian. Sampling formulas for non-bandlimited quaternionic signals[J]. Signal, Image and Video Processing,2022.
APA Hu, Xiaoxiao,&Kou, Kit Ian.(2022).Sampling formulas for non-bandlimited quaternionic signals.Signal, Image and Video Processing.
MLA Hu, Xiaoxiao,et al."Sampling formulas for non-bandlimited quaternionic signals".Signal, Image and Video Processing (2022).
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