In the first part of this talk we will review some classic tools in time-frequency analysis, including the windowed Fourier transform, the wavelet transform and the Wigner distribution. Then we relate them to the adaptive time-frequency analysis method: the theory of Huang's Empirical Mode Decomposition (EMD) algorithm and Hilbert transform.
Finally we present some results on the time-frequency analysis of nonlinear Fourier atoms.
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