Convolution theorem for fractional cosine-sine transform and its application
| Autor: | Qiang Feng, Bing-Zhao Li |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
General Mathematics General Engineering 020206 networking & telecommunications 02 engineering and technology Filter (signal processing) Convolution power Fractional Fourier transform Convolution Projection-slice theorem 0202 electrical engineering electronic engineering information engineering Discrete cosine transform Trigonometric functions Applied mathematics 020201 artificial intelligence & image processing Convolution theorem Mathematics |
| Zdroj: | Mathematical Methods in the Applied Sciences. 40:3651-3665 |
| ISSN: | 0170-4214 |
| Popis: | Fractional cosine transform (FRCT) and fractional sine transform (FRST), which are closely related to the fractional Fourier transform (FRFT), are useful mathematical and optical tool for signal processing. Many properties for these transforms are well investigated, but the convolution theorems are still to be determined. In this paper, we derive convolution theorems for the fractional cosine transform (FRCT) and fractional sine transform (FRST) based on the four novel convolution operations. And then, a potential application for these two transforms on designing multiplicative filter is presented. Copyright © 2016 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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