| LFM信号的FRFT模函数对称特性及参数估计 |
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| 引用本文： | 李宝,关键,郭海燕.LFM信号的FRFT模函数对称特性及参数估计[J].雷达科学与技术,2008,6(3):210-214. |
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| 作者姓名： | 李宝 关键 郭海燕 |
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| 作者单位： | 海军航空工程学院电子信息工程系,山东烟台,264001 |
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| 基金项目： | 教育部跨世纪优秀人才培养计划，国家自然科学基金 |
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| 摘 要： | 通过数学推导发现了时间无限长线性调频（LFM）信号的分数阶Fourier变换（FRFT）模函数具有对称性，且单边单调。之后经过分析，得出时限LFM信号的FRFT模函数也具有较好的这种特性。根据此结论提出了基于FRFT的时限LFM信号检测与参数估计的新方法，此方法采用两级搜索，克服了FRFT算法误差对线性调频信号的FRFT模函数对称性和单调性的影响，在减少了运算量的同时提高了参数估计精度。仿真分析证实了此方法的有效性。
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| 关 键 词： | 分数阶Fourier变换 LFM信号 参数估计 |
The Symmetry Characteristic and Parameter Estimation of FRFT Modular Function of LFM Signal |
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| LI Bao,GUAN Jian,GUO Hai-yan.The Symmetry Characteristic and Parameter Estimation of FRFT Modular Function of LFM Signal[J].Radar Science and Technology,2008,6(3):210-214. |
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| Authors: | LI Bao GUAN Jian GUO Hai-yan |
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| Affiliation: | (Department of Electronic and Information Engineering, Naval Aeronautical Engineering Institute, Yantai 264001, China) |
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| Abstract: | By means of mathematical derivation, a conclusion is obtained that the modular function of fractional Fourier transform（FRFT） of infinite time I.FM signal is symmetrical, unilateral and strictly monotone. Through analyzing, this feature is also suitable for time limited LFM signal. Based on this conclusion, a new method using two step search for time limited LFM signal detection and parameter estimation based on FRFT is proposed. The effect of FRFT algorithm error on the symmetry and monotonicity of the FRFT modular function of LFM signal is overcome in this method. The computational complexity is decreased effectively and the precision of parameter estimation is improved. Simulation results show its effectivity. |
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| Keywords: | fractional Fourier transform LFM signal parameter estimation |
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