Generalized time–frequency distributions for multicomponent polynomial phase signals

The conventional time–frequency distributions for multicomponent polynomial phase signals (PPS) generally suffer from interference terms, which will obscure the true location of the auto-components in the resulting time–frequency distributions. In this paper, three schemes for designing the generalized time–frequency distributions for multicomponent PPS based on the matched-phase principle are presented, and they are illustrated as follows:(1)the scheme based on the Wigner–Ville distribution (WVD) and the L–Wigner–Ville distribution (LWVD);(2)the scheme based on the fractional matched-phase principle;(3)the scheme based on the complex lags.The interference terms induced by the nonlinearity of the signals can be suppressed; for multicomponent signals, the CLEAN technique is adopted to filter out each component by a band-pass filter, and the interference terms between different components can be suppressed (eliminated). The new generalized time–frequency distributions are superimposed to yield a high-readability representation.