A new kind of convolution, correlation and product theorems related to quaternion linear canonical transform
| Autor: | Wen-Biao Gao, Bing-Zhao Li, Zhen-Wei Li |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Correlation operator
Signal processing 020206 networking & telecommunications 02 engineering and technology Convolution Correlation Algebra Product (mathematics) Signal Processing 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Multimedia information systems Electrical and Electronic Engineering Quaternion Mathematics |
| Zdroj: | Signal, Image and Video Processing. 15:103-110 |
| ISSN: | 1863-1711 1863-1703 |
| Popis: | The quaternion linear canonical transform (QLCT) has been investigated and used for many years by various research communities; it has been shown to be a powerful tool for signal processing. In this paper, a novel canonical convolution operator and a related correlation operator for QLCT are proposed. Moreover, based on the proposed operators, the corresponding generalized convolution, correlation and product theorems are studied. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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