Journal on Communications ›› 2016, Vol. 37 ›› Issue (4): 107-115.doi: 10.11959/j.issn.1000-436x.2016077

• academic paper • Previous Articles     Next Articles

Parameters estimation of LFM signal based on Gaussian-weighted fractional Fourier transform

Peng WANG1,Tian-shuang QIU1,Jing-chun LI2,Hai-feng TAN2,3   

  1. 1 Faculty of Electronic Information and Electrical E gineering, Dalian University of Technology, Dalian 116024, China
    2 State Radio Monitoring Center, Beijing 100037, China
    3 School of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Online:2016-04-25 Published:2016-04-26
  • Supported by:
    The National Natural Science Foundation of China;The National Natural Science Foundation of China;The National Natural Science Foundation of China

Abstract:

To overcome the performance degradation of conventiona methods in low duty ratio condition, a novel me-thod of parameters estimation for LFM signal based on the Gaussian-weighted fractional Fourier transform (GFRFT) was proposed. Firstly, the GFRFT definition was given and the LFM signal GFRFT with finite duration was derived. Secondly, the statistical characteristics of the GFRFT for the LFM signal under the Gaussian white noise were studied, and a closed mathematical expression of output signal-to-noise ratio was derived. Finally, simulation experiments are conducted, and the applicable condition of the GFRFT is also discussed, which demonstrates that the proposed method can effectively improve parameters estimation performance, especially in the low duty ratio condition.

Key words: fractional Fourier transform, Gaussian-weighted, liner frequency modulated signal,, frequency estimation

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