基于Hilbert变换的LFM检测与估计  

LFM Signal Detection and Estimation Based on Hilbert Transform

作　　者：张艳娜[1] 李炳照[1] 

机构地区：[1]北京理工大学数学与统计学院,北京102488

出　　处：《数学的实践与认识》2017年第3期120-127,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61171195);新世纪优秀人才(NCET-12-0042)

摘　　要：LFM(线性调频)信号是一类重要的非平稳信号,其完全被初始频率和调频斜率两个参量表征,而LFM信号的检测与估计问题是信号处理中最为重要的研究热点之一.由于调频信号在时频平面内有较好的聚集性,通常使用时频分析的方法对其进行检测和估计.线性正则变换是经典时频分布的广义形式,对LFM信号具有很好的能量聚集特性,在现有的线性正则域Hilbert变换的基础上,提出了一种不需要谱峰搜索而快速检测LFM信号和估计其参数的方法,并且通过仿真实例验证了所提出方法的优越性.The linear frequency-modulated （LFM） signal is one kind of important nonstationary signals, which entirely depends on its original frequency and slope of frequency modulation. Besides, the Detection and Parameter Estimation of LFM signal have received tremendous attention in the research of signal processing. Since the LFM signal in the time-frequency plane has good aggregation, usually using time-frequency analysis method for detection and estimation. Linear canonical transform（LCT） is the generalized form of classical time-frequency distribution, and the energy of LFM signal has a good aggregation behavior. Based on the existing definition of the Hilbert transform in the LCT domain, this paper puts forward a rapid detection method of LFM signal and estimates its parameters without needing a spectral peak searching. At last the superiority of the proposed method is verified by simulation examples.

关 键 词：线性调频信号 HILBERT变换 线性正则变换 信号检测与参数估计 

分 类 号：TN911.23[电子电信—通信与信息系统]