The Reassigned Cross-Spectrogram

The reassignment technique is used to increase localization for signal components in the time-frequency representation. The technique gives perfect localization for linear chirp signals and constant frequency signals. Despite the recent interest in using the reassignment technique to determine phase-shifts, no general expression of cross-spectrogram reassignment vectors exists. This submission aims to give proof of the generalization of the reassignment vectors to the reassigned cross-spectrogram. The benefit of reassignment for determining phase shift between simulated signals will be illustrated. We exemplify with the reassigned cross-spectrogram of a respiratory frequency and a heart rate variability signal.