On the time-frequency reassignment of interfering modes in multicomponent FM signals

The paper presents a first attempt to correct the time-frequency reassignment of a multicomponent signal having non separable individual components. In particular, the case of a 2-components signal has been investigated in depth. It has been proved that the integral (along frequencies) of the spectrogram is still a multicomponent signal with specific instantaneous frequencies. As a result, the spectrogram of this signal allows us to disentangle the frequencies and recover the missing information in the non separability region. Preliminary results show that the proposed method is able to correctly reassign the information in the interference region by separating the two individual components, with a very moderate computational effort.