# Two-dimensional quaternion Fourier transform of type II and quaternion wavelet transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_84867799202
Jurnal / Konferensi: International Conference on Wavelet Analysis and Pattern Recognition
Tahun terbit: 2012
DOI: https://doi.org/10.1109/ICWAPR.2012.6294808
ISSN: 21585695
Citations: 15

## Authors
- Bahri M.

## Abstract
A two-dimensional quaternion Fourier transform (QFT) defined with the kernel e - i+j+k/√3 ω · x is proposed. Some fundamental properties, such as convolution theorem and Plancherel theorem are established. The wavelet transform is extended to quaternion algebra using the kernel of the QFT.

## Keywords
- Quaternion
- Mathematics
- Convolution (computer science)
- Convolution theorem
- Fourier transform
- Fractional Fourier transform
- Kernel (algebra)
- Harmonic wavelet transform
- Pure mathematics
- Wavelet transform
- Mathematical analysis
- Algebra over a field
- Wavelet
- Discrete wavelet transform
- Fourier analysis
- Computer science
- Artificial intelligence
- Geometry
- Artificial neural network

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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