高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析

刘建成; 刘忠; 王雪松; 肖顺平; 王国玉

doi:10.3724/SP.J.1146.2006.00314

高斯白噪声背景下的LFM信号的分数阶Fourier域信噪比分析

doi: 10.3724/SP.J.1146.2006.00314

基金项目:

全国优秀博士学位论文专项资金(08100101)资助课题

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出版历程
- 收稿日期: 2006-03-20
- 修回日期: 2006-08-07
- 刊出日期: 2007-10-19

SNR Analysis of LFM Signal with Gaussian White Noise in Fractional Fourier Transform Domain

摘要

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。
- LFM信号;参数估计;分数阶Fourier变换;信噪比
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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