Quaternionic one-dimensional linear canonical transform
| Autor: | Siddiqui Saima, Bing-Zhao Li |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Integrable system Linearity 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Inversion (discrete mathematics) Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials Parseval's theorem 010309 optics Identity (mathematics) Square-integrable function 0103 physical sciences Electrical and Electronic Engineering Convolution theorem 0210 nano-technology Quaternion Mathematics |
| Zdroj: | Optik. 244:166914 |
| ISSN: | 0030-4026 |
| Popis: | The quaternion linear canonical transform has been proved a powerful tool in signal processing and optics. There are many related research work about quaternion linear canonical transform but theories about one-dimensional quaternion linear canonical transform still needs to be studied. In the present paper, we define quaternionic linear canonical transform of integrable (and square integrable) functions on R . It is also shown that it satisfies all the respective properties like inversion formula, linearity, convolution theorem, Parseval’s identity and the product theorem. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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