Systems Engineering and Electronics ›› 2020, Vol. 42 ›› Issue (9): 1881-1889.doi: 10.3969/j.issn.1001-506X.2020.09.01

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Super-resolution analysis method for time-frequency signal with very small carrier frequency difference

Wenbin YANG(), Dan LI(), Jianqiu ZHANG*()   

  1. Department of Electronic Engineering, Fudan University, Shanghai 200433, China
  • Received:2019-12-30 Online:2020-08-26 Published:2020-08-26
  • Contact: Jianqiu ZHANG E-mail:17110720013@fudan.edu.cn;lidan@fudan.edu.cn;jqzhang01@fudan.edu.cn

Abstract:

A model and method for super-resolution analysis of time frequency signal with identical modulation forms and very small carrier frequency difference between its components is proposed. Firstly, the amplitude and the phase of each component are taken as the state variables, the time-domain observation of the signal and the instantaneous frequency slope based on the same modulation form are taken as the measurement equations, and the multi-observation state space model is constructed for the time-frequency signal with minimal carrier frequency difference between components. Then, in order to estimate the number of components required by the model, the original signal is demodulated into a nearly stationary narrow-band signal by using matched demodulation transform, and then the covariance of the narrow-band signal in the time window is estimated by sparse iterative adaptive covariance. Based on the estimated covariance, the number of component in the window is estimated by using the discrimination function estimator method. Finally, taking the mode of estimation results in multiple sliding time windows as the number of signal components, the super-resolution analysis of time-frequency signal can be carried out based on the proposed model and the data fusion filtering algorithm. The simulation results show that the performance of the proposed method is better than other method.

Key words: time-frequency analysis, multi-observatior model, component number estimation

CLC Number: 

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