Journal of Systems Engineering and Electronics ›› 2023, Vol. 34 ›› Issue (3): 674-681.doi: 10.23919/JSEE.2023.000014

• ELECTRONICS TECHNOLOGY • Previous Articles    

Parameter estimation of LFM signals based on time reversal

Xinjie MA1(), Wei QI2,*(), Kaijun CHE1(), Gang WU3()   

  1. 1 School of Electronic Science and Engineering, Xiamen University, Xiamen 361005, China
    2 Beijing Institute of Tracking and Telecommunications Technology, Beijing 100094, China
    3 Jiuquan Satellite Launch Center, Jiuquan 736200, China
  • Received:2021-04-09 Online:2023-06-15 Published:2023-06-30
  • Contact: Wei QI;;;
  • About author:
    MA Xinjie was born in 1998. She received her B.S. degree in communication engineering in 2019 from Xiamen University of Technology, Xiamen, China. She is currently pursuing her M.E. degree in electronic and communication engineering at Xiamen University. Her current research interests include radar target detection and radar signal processing. E-mail:

    QI Wei was born in 1982. He received his Ph.D. degree in engineering mechanics from Beihang University in 2011. He is currently a senior engineer in Beijing Institute of Tracking and Telecommunications Technology, Beijing, China. His research interests include space engineering, radar signal processing, target tracking recognition, and satellite navigation. E-mail:

    CHE Kaijun was born in 1985. He is currently an associate professor with the Department of Electronics Engineering, Xiamen University, Xiamen, China. His research interests include semiconductor microlasers, plasmonic microdevices, optical nonlinearities, and optical devices’ applications. E-mail:

    WU Gang was born in 1980. He received his B.E. degree in measurement and control technology and instrument from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2003, and M.S. degree in electronic and communication engineering from Xidian University, Xi’an, China, in 2012. His current research interests include target detection and recognition. E-mail:
  • Supported by:
    This work was supported by the Regional Joint Fund for Basic and Applied Basic Research of Guangdong Province (2019B1515120009) and the Defense Basic Scientific Research Program (61424132005)


In this paper, parameter estimation of linear frequency modulation (LFM) signals containing additive white Gaussian noise is studied. Because the center frequency estimation of an LFM signal is affected by the error propagation effect, resulting in a higher signal to noise ratio (SNR) threshold, a parameter estimation method for LFM signals based on time reversal is proposed. The proposed method avoids SNR loss in the process of estimating the frequency, thus reducing the SNR threshold. The simulation results show that the threshold is reduced by 5 dB compared with the discrete polynomial transform (DPT) method, and the root-mean-square error (RMSE) of the proposed estimator is close to the Cramer-Rao lower bound (CRLB).

Key words: linear frequency modulation (LFM) signal, time reversal, Cramer-Rao lower bound (CRLB), parameter estimation