Convolution and correlation theorems for Wigner-Ville distribution associated with the offset linear canonical transform
| Autor: | Didar Urynbassarova, Ran Tao, Bing-Zhao Li |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Offset (computer science)
Wigner ville Mathematical analysis 02 engineering and technology Linear canonical transformation 01 natural sciences Atomic and Molecular Physics and Optics Fractional Fourier transform Electronic Optical and Magnetic Materials 010309 optics Correlation symbols.namesake Fourier transform 0103 physical sciences 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing Electrical and Electronic Engineering Convolution theorem S transform Mathematics |
| Zdroj: | Optik. 157:455-466 |
| ISSN: | 0030-4026 |
| Popis: | The Wigner-Ville distribution associated with the linear canonical transform (WVD-LCT) attracts serious attention in recent literatures. For this, currently, many time-frequency distributions are derived. In this paper, generalization of the WVD-LCT the Wigner-Ville distribution in the offset linear canonical transform (WVD-OLCT) is shown. Also various properties and applications, such as detection of the linear frequency modulated (LFM) signals are established in detail. And the much important result for this transform is that convolution and correlation theorems are derived. In other words, we generalized the WVD-LCT into the WVD-OLCT. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect