FFT-fast S-transforms: DOST, DCST, DOST2 and DCST2
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).
[![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)
Cite As
Luigi Riba (2024). FFT-fast S-transforms: DOST, DCST, DOST2 and DCST2 (https://github.com/luigir86/DOST-DCST-Stockwell-Transform/releases/tag/v1.1.0.0), GitHub. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
- Signal Processing > Signal Processing Toolbox > Transforms, Correlation, and Modeling > Transforms > Discrete Fourier and Cosine Transforms >
- Image Processing and Computer Vision > Image Processing Toolbox > Image Segmentation and Analysis > Image Transforms >
- Signal Processing > Wavelet Toolbox > Discrete Multiresolution Analysis > Signal Analysis >
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.
DOST
Version | Published | Release Notes | |
---|---|---|---|
1.1.0.0 | See release notes for this release on GitHub: https://github.com/luigir86/DOST-DCST-Stockwell-Transform/releases/tag/v1.1.0.0 |
||
1.0.0.0 |