基于FrFT的LFM相参脉冲信号多普勒频率变化率估计算法

李宏; 秦玉亮; 李彦鹏; 王宏强; 黎湘

doi:10.3724/SP.J.1146.2009.01438

基于FrFT的LFM相参脉冲信号多普勒频率变化率估计算法

doi: 10.3724/SP.J.1146.2009.01438

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出版历程
- 收稿日期: 2009-11-06
- 修回日期: 2010-03-02
- 刊出日期: 2010-11-19

A FrFT Based Algorithm for Doppler Frequency Rate Estimation from LFM Coherent Pulse Train

摘要

摘要: 线性调频信号(LFM)在雷达中广泛应用，精确获取观测LFM信号中的多普勒频率变化率信息是单站无源定位与跟踪系统的一项关键技术。该文提出了基于分数阶Fourier变换(FrFT)的多普勒频率变化率估计算法，在分数阶变换域上使信号能量聚集，消除调频率对参数估计的影响的同时充分提高了信噪比，进而利用保留的脉冲间相对相位关系获得了多普勒频率变化率的高精度估计。理论分析表明，该算法估计精度接近理论下界，数值仿真验证了算法的有效性。
- 无源定位与跟踪 /
- 分数阶Fourier变换 /
- LFM相参脉冲 /
- 多普勒频率变化率
Abstract: LFM signal is widely used in radar application. It is a key technology to obtain the high accuracy estimation of the Doppler frequency rate from the observed LFM signals. In this paper, a Fractional Fourier Transform (FrFT) based Doppler frequency rate estimation algorithm is proposed. The signal energy is congregated in the fractional Fourier transform domain. The signal to noise rate is strengthen and the infection of the frequency rate of LFM signal is eliminated. The coherent phase information is utilized to obtain the Doppler frequency rate estimates. The theoretical analysis indicates that the estimation variance approaches the theoretical low band. The simulation results validate the presented algorithm.
- Passive locating and tracking /
- FrFT /
- Coherent LFM pulse /
- Doppler frequency rate

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冯道旺. 利用径向加速度信息的单站无源定位技术研究[D]. [博士论文], 长沙, 国防科技学技术大学, 2003.[2]冯道旺, 周一宇, 李宗华. 相参脉冲序列多普勒变化率的一种快速高精度测量方法[J].信号处理.2004, 20(1):40-43[3]Feng Dao-wang, Zhou Yi-yu, and Li Zhong-hua. A fast and accurate estimator for Doppler rate-of-change with the coherent pulse train[J]. Signal Processing, 2004, 20(1): 40-43.[4]郁春来, 吕韶昱, 万方等. 基于小波变换的多普勒频率变化率高精度估计方法[J].电子学报.2007, 35(9):1656-1659[5]Yu Chun-lai, L Shao-yu, and Wan Fang, et al.. An accurate estimation algorithm for doppler frequency rate-of-change based on wavelet transform[J]. Acta Electronica Sinica, 2007, 35(9): 1656-1659.[6]郁春来, 万建伟, 占荣辉. 一种PCM相参脉冲序列多普勒频率变化率估计算法[J].电子与信息学报.2008, 30(10):2303-2306浏览[7]Yu Chun-lai, Wan Jian-wei, and Zhan Rong-hui. An estimation algorithm for Doppler frequency rate-of-change with PCM coherent pulse train[J].Journal of Electronics Information Technology.2008, 30(10):2303-2306[8]郁春来, 万方, 占荣辉等. 一种关于LFM 相参脉冲信号多普勒频率变化率的估计算法[J]. 信号处理, 2008, 24(4): 546-550.Yu Chun-lai, Wan Fang, and Zhan Rong-hui, et al.. An estimation algorithm for Doppler frequency rate-of-change with LFM coherent pulse signal. Signal Processing, 2008, 24(4): 546-550.[9]Wang M S, Chan A K, and Chui C K. Linear frequency-modulated signal detection using Radon-ambiguity transform[J].IEEE Transactions on Signal Processing.1998, 46(3):571-586[10]陶然, 邓兵, 王越. 分数阶Fourier变换在信号处理领域的研究进展[J]. 中国科学E辑, 2006, 36(2): 113-136.[11]Tao Ran, Deng Bing, and Wang Yue. Research progress of the fractional Fourier transform in signal processing[J].Science in China Series F: Information Sciences.2006, 49(1):1-25[12]陶然, 张峰, 王越. 分数阶Fourier变换离散化的研究进展[J].中国科学E辑, 2008, 38(4): 481-503.[13]Tao Ran, Deng Bing, and Wang Yue. Research progress on discretization of fractional Fourier transform [J]. Science in China Series F: Information Sciences. 2008, 51(7): 859-880.[14]齐林, 陶然, 周思永等. 基于分数阶Fourier变换的多分量LFM信号的检测和参数估计[J]. 中国科学E辑, 2003, 33(8): 754-759.[15]Qi Lin, Tao Ran, and Zhou Si-yong, et al.. Detection and parameter estimation of multicomponent LFM signal based on the fractional Fourier transform[J].Science in China Series F: Information Sciences.2004, 47(2):184-198[16]胥嘉佳, 刘渝, 邓振淼. LFM信号参数估计的牛顿迭代方法初始值研究[J]. 电子学报, 2009, 37(3): 598-602.Xu Jia-jia, Liu Yu, and Deng Zhen-miao. The starting point problem of parameters estimation for LFM signal based on Newtons method[J]. Acta Electronica Sinica, 2009, 37(3):598-602.[17]Tretter S A. Estimating the frequency of a noisy sinusoid by linear regression[J]. IEEE Transactions on Information Theory, 1985, IT-31(6): 832-835.[18]Hndel P and Tichavsk P. Frequency rate estimation at high SNR[J].IEEE Transactions on Signal Processing.1997, 45(8):2101-2105[19]Ristic B and Boashash B. Comments on The Cramer-Rao lower bounds for signals with constant amplitude and polynomial phase[J].IEEE Transactions on Signal Processing.1998, 46(6):1708-1709[20]刘建成, 刘忠, 王雪松等. 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浏览[21]Liu Jian-cheng, Liu Zhong, and Wang Xue-song, et al.. 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[22]刘建成, 王雪松, 刘忠等. 基于分数阶Fourier变换的LFM信号参数估计精度分析[J].信号处理.2008, 24(2):197-200[23]Liu Jian-cheng, Wang Xue-song, and Liu Zhong, et al. Parameters resolution of LFM signal based on fractional fourier transform[J]. Signal Processing, 2008, 24(2): 197-200.

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