Hilbert Spectra IMFs 46 EMD Hilbert Transform Original Signal IMF 1 IMF 2 IMF 3 ∶ Spectrum of
47 X1X2X3X4X5X6X1X2X3X4X5X6 X1X2X3X4X5X6X1X2X3X4X5X6 Spectrum of original signal X1X2X3X4X5X6X1X2X3X4X5X6 X1X2X3X4X5X6X1X2X3X4X5X6 Spectrum of IMF1 X1X2X3X4X5X6X1X2X3X4X5X6 X1X2X3X4X5X6X1X2X3X4X5X6 Spectrum of IMF2 frequency
48 Original Signal IMF1 IMF2 Projection 1 Projection 2
The “figure” of sources obtained We have been through 1)EMD : Obtain IMFs 2)Hilbert Transform : Construct spectra 3)Projection : Decompose signal in frequency space 4)PCA and ICA : Independent vector basis 5)Clustering : Combine correlated vectors together 6)Voila! 63
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