The L-Wigner distributions as a tool for robust time-frequency signal analysis

A robust time-frequency analysis, producing a rough parameters' estimation of a signal is presented. As a tool for this analysis recently defined L-Wigner distribution is used. Its properties are also presented. The L-Wigner distribution is realized using an iterative formula starting from the Short time Fourier transform, via the Wigner distribution. The frequency domain window is used to eliminate the cross terms. The signal's parameters that may be easily estimated (even in the case when the signal is heavily corrupted by noise) are: the time instant and the instantaneous frequency corresponding to the maximal signal power. The theory is illustrated on the numerical example