istran(S)

Version 1.2.0.0 (1.34 KB) by Christian Poppeliers
Inverse S transform
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Updated 19 Feb 2015

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This code is a simple inverse Stockwell transform. It's based on the idea that the time-integrated S transform is the Fourier transform of the original signal. There is some weirdness with the phase information, so I had to fix the sign on the imaginary part, but it seems to work.
This is a stand-alone function, and doesn't require any special toolboxes or libraries.

Cite As

Christian Poppeliers (2024). istran(S) (https://www.mathworks.com/matlabcentral/fileexchange/49761-istran-s), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Stockwell Transform (S-Transform)

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Version Published Release Notes
1.2.0.0

Original version returned a decimated time domain signal, so newest version simply up-samples to the original length. Not terribly elegant, but it works.
1.1.0.0

See IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 55, NO. 10, OCTOBER 2007
1.0.0.0