CONTINUOUS QUATERNION FOURIER AND WAVELET TRANSFORMS
| Main Author: | Bahri, Mawardi |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
World Scientific Publisher, singapore
, 2014
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| Subjects: | |
| Online Access: |
http://repository.unhas.ac.id/handle/123456789/11395 |
Daftar Isi:
- A two-dimensional quaternion Fourier transform (QFT) defined with the kernel $e^{-\frac{\boldsymbol{i} + \boldsymbol{j} + \boldsymbol{k}} {\sqrt{3}} \boldsymbol{\omega} \cdot \boldsymbol{x} }$ is proposed. Some fundamental properties, such as convolution theorem, Plancherel theorem, and vector differential, are established. The heat equation in quaternion algebra is presented as an example of the application of the QFT to partial differential equations. The wavelet transform is extended to quaternion algebra using the kernel of the QFT