UM
Generalized sampling expansions associated with quaternion Fourier transform
Cheng D.; Kou K.I.
2018-07-30
Source PublicationMathematical Methods in the Applied Sciences
Volume41
Issue11
Pages4021-4032
AbstractQuaternion-valued signals along with quaternion Fourier transforms (QFT) provide an effective framework for vector-valued signal and image processing. However, the sampling theory of quaternion-valued signals has not been well developed. In this paper, we present the generalized sampling expansions associated with QFT by using the generalized translation and convolution. We show that a σ-bandlimited quaternion-valued signal in QFT sense can be reconstructed from the samples of output signals of M linear systems based on QFT. Quaternion linear canonical transform is a generalization of QFT with six parameters. Using the relationship between QFT, we derive the sampling formula for σ-bandlimited quaternion-valued signal in quaternion linear canonical transform sense. Examples are given to illustrate our results. Copyright © 2017 John Wiley & Sons, Ltd.
Keywordconvolution theorem generalized sampling expansions generalized translation quaternion Fourier transform quaternion linear canonical transform Quaternion-valued signals
DOI10.1002/mma.4423
URLView the original
Language英語
Fulltext Access
Citation statistics
Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionUniversity of Macau
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Cheng D.,Kou K.I.. Generalized sampling expansions associated with quaternion Fourier transform[C],2018:4021-4032.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Cheng D.]'s Articles
[Kou K.I.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Cheng D.]'s Articles
[Kou K.I.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Cheng D.]'s Articles
[Kou K.I.]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.