Name
Abstract | ||
|---|---|---|
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. HighlightsReview of quaternion wavelets and transforms.Overview of real and complex wavelets.Discusses quaternion short-time Fourier transforms.Discusses true quaternion wavelets and transforms.Comprehensive list of references. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.sigpro.2016.12.025 | Signal Processing |
Keywords | Field | DocType |
Quaternion wavelet transform,Quaternion STFT | Algebra,Quaternion,Multiresolution analysis,Fourier transform,Continuous wavelet transform,Discrete wavelet transform,Mathematics,Wavelet,Wavelet transform | Journal |
Volume | Issue | ISSN |
136 | C | 0165-1684 |
Citations | PageRank | References |
4 | 0.69 | 44 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| P. Fletcher | 1 | 4 | 0.69 |
| S.J. Sangwine | 2 | 107 | 9.87 |