DOST-DCST-Stockwell-Transform

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DOST-DCST-Stockwell-Transform

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This code allows the computation of the discrete orthonormal Stockwell transform (DOST) and the discrete cosine Stockwell transform (DCST) in 1D and 2D. The implemented algorithm is FFT-fast.

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# DOST-DCST-Stockwell-Transform
This code allows the computation of the discrete orthonormal Stockwell transform (DOST) and the discrete cosine Stockwell transform (DCST) in 1D and 2D. The implemented algorithm is FFT-fast.
The folder includes:
ST_algorithms.pdf - a graphical description of the implemented algorithms;
ST_tutorial.m - a tutorial that describes the use of these transform in 1d and 2d;
ST.m - the implementation of the algorithm.

In the files, you can find a brief description of the Stockwell transform (S-transform) together with a short reference list.

If you find this code to be useful for your research, please cite the paper in which it is mathematically described:
U. Battisti, L. Riba, "Window-dependent bases for efficient representations of the Stockwell transform", Applied and Computational Harmonic Analysis, 23 February 2015, http://dx.doi.org/10.1016/j.acha.2015.02.002, (see Proposition 13 and Remark 4).

Cite As
Luigi Riba (2020). FFT-fast S-transforms: DOST, DCST, DOST2 and DCST2 (https://www.mathworks.com/matlabcentral/fileexchange/53910-fft-fast-s-transforms-dost-dcst-dost2-and-dcst2), MATLAB Central File Exchange. Retrieved November 28, 2020.

[![View FFT-fast S-transforms: DOST, DCST, DOST2 and DCST2 on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://it.mathworks.com/matlabcentral/fileexchange/53910-fft-fast-s-transforms-dost-dcst-dost2-and-dcst2)

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