Tracking of spectral lines in an ARCAP time-frequency representation

ARCAP time-frequency representations of narrow-band signals are made of instantaneous characteristics (frequencies and amplitudes), without any time links. In order to extract the frequency modulations (or sprectral trajectories), we propose to re-create them on the basis of ballistic integrator models. The analytic expression of the corresponding asymptotic Kalman filter gains allows a very simple implementation of association procedures including trajectory birth or death. The points being associated, a Fraser filtering leads to the smoothed spectral trajectories.