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电子学报  2012 

基于FRFT的线性调频信号欠采样快速检测方法

DOI: 10.3969/j.issn.0372-2112.2012.11.004, PP. 2165-2170

Keywords: 欠采样,分数阶Fourier变换,线性调频信号,最佳旋转角度,信噪比

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Abstract:

采用分数阶Fourier变换对线性调频信号(LinearFrequencyModulation,LFM)进行检测与参数估计时,由于信号的特征未知,需要运用二维搜索方法确定分数阶Fourier变换的最佳旋转角度.该方法运算量巨大.为减少运算量,本文推导了欠采样前后LFM信号的分数阶Fourier变换最佳能量聚集旋转角度关系,证明了无噪LFM信号的调频率估计可以完全不受Nyquist采样定理的限制;通过推导分析欠采样含噪LFM信号在最佳分数阶Fourier域的信噪比,给出了欠采样倍数M对LFM信号检测的影响及其选取原则;最终提出一种基于欠采样理论的LFM信号快速检测方法.实验结果表明,当M选取合适时,利用原始信号的欠采样样本即可对LFM信号实现有效检测,快速确定其调频率.

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