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The development of the quaternion wavelet transform

Fletcher, P and Sangwine, SJ (2017) 'The development of the quaternion wavelet transform.' Signal Processing, 136. 2 - 15. ISSN 0165-1684

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The purpose of this article is to review what has been written on what other authors have called quaternion wavelet transforms (QWTs): there is no consensus about what these should look like and what their properties should be. We briefly explain what real continuous and discrete wavelet transforms and multiresolution analysis are and why complex wavelet transforms were introduced; we then go on to detail published approaches to QWTs and to analyse them. We conclude with our own analysis of what it is that should define a QWT as being truly quaternionic and why all but a few of the “QWTs” we have described do not fit our definition.

Item Type: Article
Uncontrolled Keywords: Quaternion wavelet transform, Quaternion STFT
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Computer Science and Electronic Engineering, School of
Depositing User: Jim Jamieson
Date Deposited: 28 Feb 2017 15:30
Last Modified: 29 Dec 2017 02:00

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