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A class of Polynomial time-frequency distributions has been recently proposed. It achieves the highest possible concentration in the time-frequency plane for nonlinear polynomial FM signals. Further, it allows to define time-varying higher-order spectra for nonstationary random signals. The paper presents a review of recent results and an application to multi-component signal analysis in the presence of additive and/or multiplicative noise.

Polynomial time-frequency distributions and timevarying higher-order spectra: A review of performance for non-stationary signal analysis