In this paper

a new time-frequency model and analytical method are proposed for multiple modulated components with dynamic births and deaths.The proposed model takes the amplitude and phase of components as the state variables whose evolutions are described as polynomial prediction models.The observations of the signal are then viewed as the measurements of the states.In this way

a new state space model is built to describe the signal with multiple modulated components.In order to cope with the dynamic births and deaths of the components

a non-parametric iterative adaptive approach with a time window is employed to obtain the short time spectrums.The number of signal components is found under the rule of three times standard deviation of the noise in the spectrums.Now

the unscented Kalman filter can be used to analyze the dynamic births and deaths signals based on the proposed model.Simulation results verify the effectiveness of the proposed method while its performances shown in terms of accuracy

resolution and crossing spectrum separation are much better than the ones reported in literature.