Convolution theorem for fractional cosine-sine transform and its application
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4251
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… read more here.
Keywords: convolution; fractional cosine; sine transform; transform ... See more keywords
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-020-01454-0
Abstract: We study the sine-transform-based splitting preconditioning technique for the linear systems arising in the numerical discretization of time-dependent one dimensional and two dimensional Riesz space fractional diffusion equations. Those linear systems are Toeplitz-like. By making… read more here.
Keywords: time dependent; splitting preconditioning; sine transform; riesz space ... See more keywords
Fast Hopping Discrete Sine Transform
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DOI: 10.1109/access.2021.3094277
Abstract: Discrete sine transform (DST) is widely used in digital signal processing such as image coding, spectral analysis, feature extraction, and filtering. This is because the discrete sine transform is close to the optimal Karhunen–Loeve transform… read more here.
Keywords: time; hopping discrete; transform; sine transform ... See more keywords
On the Application of Modified Finite Sine Transform to Structural Mechanics
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DOI: 10.1155/2019/6363409
Abstract: The method of modified finite sine transform (MFST) was introduced to solve fourth-order boundary value problems in structural mechanics. The analytical features and computational aspects of MFST were presented, including integral transforms of the derivatives… read more here.
Keywords: sine transform; finite sine; mechanics; modified finite ... See more keywords