infomation about Stockwell Transform
The Matlab code of the S-transform can be found here for example: http://en.verysource.com/code/1180181_1/st.m.html

The main advantage compared to CWT is its simplicity. In fact, it can be seen as equivalent to a Morlet wavelet, see for example paper by Ventosa, Schimmel, Simon, Dañobeitia and Mànuel "The S-transform from a wavelet point of view", IEEE Trans on Signal Processing, 2008.