Filter Design for Linear Frequency Modulation Signal Based on Fractional Fourier Transform

摘要：

The fractional Fourier transform (FRFT) can transform the linear frequency modulation (LFM) signal into delta function for a proper order p, since the kernel of FRFT has a property of LFM. Using this property, the paper proposes the filter for LFM signal with noise, which avoids cross-term of quadratic distribution due to the linearity of FRFT. The method can reduce noise by optimizing the parameter p in (p,u) plane. The filtering performance is regulated by the correlation coefficient, and evaluated by mean square error (MSE). Computer simulations show that the proposed algorithm can filter the signals well compared to the pseudo Wigner Ville distribution for avoiding the cross-term problem. The statistical analysis of the MSE is also given for different signal to noise ratio, which illustrates the proposed algorithm has a rather good performance.

关键词： fractional Fourier transform linear frequency modulation signal filter

作者: Yan Zhe Wang Hongting Wu Ligang Fan Fei Zhao Hong

作者单位: School of Automation,Harbin University of Science and Technology,Harbin,China Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin,China

会议类型: 国际会议

会议名称: 2010 IEEE 10th International Conference on Signal Processing(第十届信号处理国际会议 ICSP 2010)

会议地点: 北京

会议语种:英文

页码: 251-254

在线出版日期: 2010-08-24（万方平台首次上网日期，不代表论文的发表时间）