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Fig. 6.11 Energy density or Wigner density of the atoms

Application to a sound recording: Recording of the word "greasy" with a sample of 8,192 points. The dark blobs are Wigner-Ville distributions of Gabor atoms extracted by the matching pursuit and shown in the time-frequency plane (Fig. 6.9).

Application to the logistic equation in the chaotic field: Illustration by the logistic equation xt+1 = axt (1 - xt) for a ~ 4 with a sample of 512 points. We observe the different atoms with their respective shape and spread (Figs. 6.10-6.15).

Fig. 6.14 Wigner density of the logistic attractor (HSV colormap version)

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