基于Hilbert变换的LFM检测与估计

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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. LFM signal is a kind of important non-stationary signal, which is completely characterized by two parameters of initial frequency and frequency modulation slope, and the detection and estimation of LFM signal is one of the most important research hot spots in signal processing. The signal is well aggregated in the time-frequency plane, which is usually detected and estimated by time-frequency analysis.Linear regular transform is a generalized form of classical time-frequency distribution and has good energy aggregation characteristics for LFM signals, Based on the existing Hilbert transform of linear regular fields, a method of rapidly detecting LFM signals and estimating their parameters without spectral peak search is proposed. The simulation results show the superiority of the proposed method.
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