Presentation

The Time-Frequency Toolbox is a collection of M-files developed for the analysis of non-stationary signals using time-frequency distributions. This toolbox includes two groups of files :

• the signal generation files, which allow the synthesis of numerous kinds of non-stationary signals ;
• the processing files, including the time-frequency distributions and other related processing functions.

As usual under MATLAB, each function of the toolbox has a help entry that you can refer to by typing

      >> help name_of_the_file

at the prompt of the matlab command window. In almost every case, a simple example is given, which facilitates the use of the function.

Seven demonstration M-files are also available, which provide sequences of examples illustrating the possibilities of the Time-Frequency Toolbox, and following closely the plan of this tutorial. These files are :

tfdemo	Main menu of the demonstration
tfdemo1	Introduction
tfdemo2	Non-stationary signals
tfdemo3	Linear time-frequency representations
tfdemo4	Cohen's class time-frequency distributions
tfdemo5	Affine class time-frequency distributions
tfdemo6	Reassigned time-frequency distributions
tfdemo7	Extraction of information

The aim of this Tutorial is to present the way to use the Time-Frequency Toolbox, and also to introduce the reader in an illustrative and friendly way to the theory of time-frequency analysis. We advise the reader, when looking at a chapter of this tutorial, to run simultaneously the corresponding demonstration file. In this way, he will have a good understanding of the Toolbox.

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