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分数阶傅里叶变换在线性调频信号滤波中的应用 被引量:2

Application of FRFT in LFM Signal Filtering
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摘要 针对线性调频(LFM)信号在传输过程中会受到其他信号干扰的问题,研究了一种基于分数阶傅里叶变换(FRFT)的LFM信号滤波方法,推导了LFM信号的FRFT,根据FRFT在特定阶次上呈现能量高度集聚的特性,检测出LFM信号,并实现含噪LFM信号的滤波。以Matlab为仿真平台,利用自编程序进行数值模拟,采用信噪比作为衡量滤波效果的性能指标。仿真的结果表明,较低输入信噪比的情况下,经过FRFT滤波后,输出信噪比有效改善。 In this paper,a filtering method of LFM signal based on fractional Fourier transform(FRFT)is studied to solve theproblem that the LFM signal will be interfered by other signals in the transmission process. FRFT of LFM signal is derived. Accord-ing to the characteristics of the fractional Fourier transform that the energy is highly aggregated in a particular order,the LFM signalis detected and the filtering of noisy LFM signal is realized. Matlab is used as the simulation platform,the numerical simulation iscarried out by using the self compiled program,and the signal-to-noise ratio(SNR)is used to measure the performance of the filter-ing effect. The simulation results show that the output SNR can be improved effectively by using FRFT in the case of lower SNR.
出处 《舰船电子工程》 2017年第12期39-41,45,共4页 Ship Electronic Engineering
关键词 线性调频信号 分数阶傅里叶变换 信号检测 滤波 信噪比 linear frequency modulated signal fractional fourier transform signal detection filtering signal-to-noise ratio
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