A new technique to reduce cross terms in the Wigner distribution

A new method for time-frequency representation (TFR) of a signal, which combines the Fourier–Bessel (FB) expansion and the Wigner–Ville distribution (WVD) has been presented in this paper. The FB expansion decomposes a multicomponent signal into a number of monocomponent signals, and then the WVD technique is applied on each component of the composite signal to analyze its time-frequency distribution (TFD). The simulation results show that the proposed technique based on the FB decomposition is a powerful tool for analyzing multicomponent nonstationary signals and for obtaining the TFR of the signal without introducing cross terms.