Convolution theorem for fractional cosine-sine transform and its application

Qiang Feng; Bing Zhao Li

doi:10.1002/mma.4251

Convolution theorem for fractional cosine-sine transform and its application

Qiang Feng, Bing Zhao Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3651-3665
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	40
Issue number	10
DOIs	https://doi.org/10.1002/mma.4251
Publication status	Published - 15 Jul 2017

Keywords

Fractional Fourier transform
convolution operation
convolution theorem
fractional cosine and sine transform

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10.1002/mma.4251

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KW - fractional cosine and sine transform

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Convolution theorem for fractional cosine-sine transform and its application

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