Time Frequency Signal Analysis in Mathematica (MMA) I want to know " Whether there is any Tool Box in Mathematica (MMA) for the Time-Frequency (TF) Signal Analysis".

I am well-versed in MMA Programming, so want to do TF Signal Analysis in MMA. I think if there is toolbox of TF Analysis, then it will be of very much great help in long programming.

Thanks in Advance!!!!
If you are using an older version of Mathematica (pre v.8) and are interested in wavelets - yes, you need an add-on to perform wavelet analysis. More about it here. If you are using v.8 or above then everything wavelet-related is built-in. If you are interested in Fourier analysis - it is built in (since v.1). To showcase the capabilities of the time-frequency analysis functionality:

Suppose we have the signal $2 \exp \left(-\frac{t^2}{10}\right) \cos (5 t)$


We can visualise its Gabor transform



Wigner transform (notice the artifacts)



and the (somewhat) corrected Gabor-Wigner transform



A second test signal



and its spectrogram calculated using partitions of length 256, offset 1 and BlackmanHarrisWindow



its periodogram (with the same options as above)



Now we move onto wavelets
Scalogram after a continuous wavelet transform with a Morlet wavelet



and the respective scalogram after performing a discrete wavelet transform



Just because I find it pretty - a scalogram of a simulated noise in 3D