1-dimensional DCST.zip

1-dimensional Discrete Cosine Stockwell Transform, (DCST)

This archive contains:
1) dcst.m: this function computes the discrete cosine Stockwell coefficients of a given 1-dimensional signal;
2) idcst.m: this function reconstruct the original signal from its discrete cosine Stockwell coefficients;
3) rearrange_dcst.m: this function helps in visualizing the discrete cosine Stockwell coefficients in the classical time-frequency plane;
4) dcst_tutorial.m: it provides an example on how to use the S-transform to analyze a signal.

The DCST and IDCST are FFT-FAST (O(NlogN)).

The DCST is, roughly speaking, the DOST in which the FFT is substituted with the DCT.

More comments on the S-transform, references and a detailed description of the algorithms used are given as comments in the m-files.

DCST and IDCST are based on DOST and IDOST from the same authors.