Novel quaternionic fractional wavelet transform (Q2149397)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Novel quaternionic fractional wavelet transform |
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Novel quaternionic fractional wavelet transform (English)
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28 June 2022
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The authors introduced the notion of a two-dimensional quaternionic fractional wavelet transform (FRWT) in Definition 3. Then the authors obtained their associated inversion formula and Parseval theorem in Theorems 1 and 2. A condition for the \(\alpha\)-order quaternionic FRWT to be the quaternionic FRWT of some function is given in Theorem 3. Two examples are provided for the quaternionic FRWT of the given two functions.
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Fourier transform
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quaternionic fractional Fourier transform
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quaternionic fractional wavelet transform
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Parseval's theorem
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