FFT-fast S-transforms: DOST, DCST, DOST2 and DCST2

Analyze your signals or your images via the dost (dcst)
2.3K Downloads
Updated 28 Nov 2020

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 (2025). 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
Created with R2014a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
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

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.