Convolution theorem for fractional cosine‐sine transform and its application |
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| Authors: | Qiang Feng Bing‐Zhao Li |
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| Affiliation: | 1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P. R. China;2. School of Mathematics and Computer Science, Yanan University, Yanan, Shaanxi, P. R. China;3. Beijing Key Lab on Mathematical Characterization, Analysis, and Applications of Complex Information, Beijing Institute of Technology, Beijing, P. R. China |
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| Abstract: | 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. |
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| Keywords: | Fractional Fourier transform fractional cosine and sine transform convolution operation convolution theorem |
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