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- Title
Fractional Fourier cosine and sine Laplace weighted convolution and its application.
- Authors
Xiang, Yi; Yuan, Sha; Feng, Qiang
- Abstract
In this paper, four types of fractional Fourier cosine and sine Laplace weighted convolutions are defined, and the corresponding fractional Fourier cosine and sine Laplace convolution theorems associated with the fractional cosine transform, fractional sine transform and Laplace transform are derived in detail. Furthermore, the relationship between the fractional Fourier cosine (sine) Laplace weighted convolutions and existing convolutions are studied, and Young's type theorem is also investigated. In addition, as an application for fractional Fourier cosine (sine)‐Laplace weighted convolution, the system of convolution‐type integral equations is considered, the computational complexity is analysed and the explicit solutions for these equations are obtained.
- Subjects
COSINE transforms; COSINE function; INTEGRAL equations; COMPUTATIONAL complexity; EQUATIONS
- Publication
IET Signal Processing (Wiley-Blackwell), 2023, Vol 17, Issue 2, p1
- ISSN
1751-9675
- Publication type
Article
- DOI
10.1049/sil2.12170