| 高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析 |
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| 引用本文： | 刘建成,刘忠,王雪松,肖顺平,王国玉.高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析[J].电子与信息学报,2007,29(10):2337-2340. |
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| 作者姓名： | 刘建成 刘忠 王雪松 肖顺平 王国玉 |
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| 作者单位： | 国防科技大学电子科学与工程学院,长沙,410073 |
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| 基金项目： | 教育部全国优秀博士学位论文作者专项基金 |
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| 摘 要： | 目标大机动运动使雷达回波表现为频率和调频率参数均未知的LFM信号。未知参数LFM信号的检测和估计采用分数阶Fourier变换来实现受到越来越多的关注，为此本文着重分析其分数阶Fourier变换的信噪比。首先推导出时限线性调频信号的分数阶Fourier变换模平方，给出了在分数阶Fourier域的峰值点与未知参数的关系，然后研究了附加白噪声LFM信号在分数阶Fourier域的统计特性，确定了其信噪比，并与理想情况(即参数频率和调频率参数已知)下线性相位匹配滤波器的输出信噪比进行了比较。
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| 关 键 词： | LFM信号 参数估计 分数阶Fourier变换 信噪比 |
| 文章编号： | 1009-5896（2007）10-2337-04 |
| 收稿时间： | 2006-3-20 |
| 修稿时间： | 2006-03-20 |
SNR Analysis of LFM Signal with Gaussian White Noise in Fractional Fourier Transform Domain |
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| Liu Jian-cheng,Liu Zhong,Wang Xue-song,Xiao Shun-ping,Wang Guo-yu.SNR Analysis of LFM Signal with Gaussian White Noise in Fractional Fourier Transform Domain[J].Journal of Electronics & Information Technology,2007,29(10):2337-2340. |
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| Authors: | Liu Jian-cheng Liu Zhong Wang Xue-song Xiao Shun-ping Wang Guo-yu |
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| Affiliation: | School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | Due to the motion of a target,radar return signals are usually LFM signals with unknown frequency and unknown frequency modulated rate.Fractional Fourier transform has recently attracted much attention in detection and parameter estimation of multi-component LFM signals.Fractional Fourier transform of LFM signal of finite duration is derived and a relation between coordinate of the peak and unknown parameters is given. Statistical characteristic of LFM signal with white noise in fractional Fourier domain is studied,a closed form expression is found for Signal-to-Noise Ratio(SNR),and it is compared with matched filter of ideal situation (i.e. parameters of LFM signal are known). |
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| Keywords: | LFM signal Parameters estimation Fractional Fourier transform Signal-to-Noise Ratio(SNR) |
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