Journal
SIGNAL PROCESSING
Volume 201, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.sigpro.2022.108692
Keywords
Time -frequency representation; Close and crossed chirp modes; Polynomial prediction model; Unscented kalman filter; Nonlinear Bayesian filtering
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Funding
- National Natural Science Foundation of China [11827808, 11974082]
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The paper proposes a novel model for online time-frequency representation and analysis with multiple close and crossed chirp modes. It demonstrates that frequency resolution can be controlled by model states and their evolutions. A new alternative nonlinear Bayesian filtering method is introduced for analyzing signals with unknown or variable Gaussian measurement noise variance.
In this paper, a novel model for online time-frequency representation and analysis with multiple close and crossed chirp modes is proposed. It is shown that, when a signal is described by a discrete time equation, its highest time domain resolution is given by its sample interval. According to the uncertainty principle, the frequency resolution of the signal on the interval would meanwhile be nothing. However, when the amplitude and the phase of each chirp mode are taken as the state variables whose evolutions are described by a polynomial prediction model, a difference is made here. Namely, the frequency reso-lution can be governed by the model states and their evolutions. Based on the proposed model, it is then exemplified that an unscented Kalman filter can be used to obtain the time-frequency representation of the signal. For situations where the variance of Gaussian measurement noise is unknown or variable, a new alternative nonlinear Bayesian filtering with a simple closed form and low computational cost for doing the time-frequency analysis of the signal is presented. Simulation results verify the effectiveness of our model and analysis approach, especially in analyzing multiple close and crossed chirp modes. (c) 2022 Elsevier B.V. All rights reserved.
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