The Matched Window Reassignment

In this paper we calculate reassigned spectrograms using the envelope of an arbitrary signal as matched window. We show that the matched window then give the perfectly localized reassignment for any time-translated and frequency-modulated transient signal with corresponding envelope. The general expressions of the corresponding scaled reassignment vectors are derived and the matched window reassignment is evaluated for time-frequency localization as well as for classification. The results show that the accuracy in time- and frequency location is high also when the signal envelope deviates from the matched window and when the SNR is reasonable large. The classification performance based on the matched window reassignment and the Rényi entropy is robust to signal envelope deviations as well as to disturbing noise.