Time-Frequency Analysis Software

This is a collection of Matlab files for computing time-frequency distributions or time-frequency representations. (However, if you don't have Matlab, you can try Octave or SciLab.)

These programs are either a result of my research or something that I found useful enough to spend the time to implement. Included are a rigorous implementation of time-frequency distributions (Cohen class), some quartic time-frequency distributions, chirplet decomposition based on maximum likelihood estimation, fractional Fourier transform, time-varying filtering, and other useful utilities.

The image on the right is a spectrogram of a hermite function.
x = hermite(63,15); s = spec2(x,1,64,1,2.2); ptfd(s)

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The image on the right shows example output from DiscreteTFDs. The main image is a spectrogram of a whale whistle. Below the spectrogram is the envelope of the time series and to the left of the spectrogram is spectrum in dBs. You can listen to the whale whistle.

For more examples, see the demonstration of chirplet decomposition of whale whistles.


After 14 years, a new release of DiscreteTFDs!!! The only change is that the Chirplet code has been updated to work with the latest version of the Optimization Toolbox. Thanks to Steven Van Vaerenbergh for providing the update. This is likely the last ever update to DiscreteTFDs.

Version 1.0 is available for download.


There is no manual, but there are several sources to obtain information about the software:

Jeffrey C. O'Neill (jco8 at cornell.edu)