Complex and Chaotic Nonlinear Dynamics. Advances in Economics and Finance, Mathematics and Statistics. By T.Vialar. Springer 2009.

	WIGsignalsHALF.mp4: Wigner-Ville Time-Frequency Distribution of a signal that consists of: (1) two slighly different Gabor atoms whose internal frequencies progressively increase, (2) a Dirac, (3) a sinusoid, (4) and a noise that increases at each sequence repetition. Observe the calculation interference terms. In the Time-Frequency plane: [0,1] vs.[0,1/2]. (23').

A Few Examples of Pictures (Using MATLAB or c++):

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Fig.23 Wigner-Ville Time-Frequency Distribution of two Gabor atoms (colormap gray scale version). Note the interference component.

Fig.22 Wigner-Ville Time-Frequency Distribution of two Gabor atoms (colormap jet version).

Fig.5.51 Cohen Time-Frequency Distribution of two Gabor atoms. The Alias-Free Generalized Time-Frequency Distribution provides analogous results.

Fig.25 Alias-Free Generalized Time-Frequency Distribution of two Gabor atoms.

Fig.26 Time-Frequency Spectrogram of the signal "transients".

Fig.27 Wigner-Ville Time-Frequency Distribution of the signal "transients".

Fig.28 Cohen Time-Frequency Distribution of the signal "transients".

Fig.29 Cohen Time-Frequency Distribution of the signal "transients" (jet version).

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