Chirp脉冲的分数阶傅里叶域测距

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Chirp脉冲的分数阶傅里叶域测距

邓兵¹, 王旭², 何友¹, 崔世麒²

1. 海军航空工程学院电子信息工程系, 山东烟台 264001;
2. 海军航空工程学院研究生管理大队, 山东烟台 264001

收稿日期:2011-10-27 修回日期:2011-12-29 出版日期:2012-10-25 发布日期:2012-10-25
通讯作者: 邓兵 E-mail:navy_dbing@tom.com
基金资助:
国家自然科学基金(60902054);中国博士后科学基金(201003758, 20090460114);"泰山学者"建设工程专项经费

Range-finding for Chirp Pulse in the Fractional Fourier Domain

DENG Bing¹, WANG Xu², HE You¹, CUI Shiqi²

1. Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China;
2. Graduate Students’ Brigade, Naval Aeronautical and Astronautical University, Yantai 264001, China

Received:2011-10-27 Revised:2011-12-29 Online:2012-10-25 Published:2012-10-25
Supported by:
National Natural Science Foundation of China (60902054); China Postdoctoral Science Foundation (201003758, 20090460114); The Special Construction Engineering Foundation for "Taishan Scholar"

摘要/Abstract

摘要： 为了扩展利用Chirp脉冲测距的灵活性和适用性,基于分数阶傅里叶变换特点,提出了一种运算量更小且更具扩展性的Chirp脉冲测距新方法,并导出了其离散距离估计子的解析表达式。分析了该距离估计子的离散精度和多目标分辨力,考察了多普勒频移所引起的测距误差,并对比了本文方法与脉冲压缩方法的主要性能参数。研究结果表明:本文方法在大时宽带宽积条件下具有与脉冲压缩方法相比拟的性能,且运算量约减少一半。最后,仿真验证了理论推导的正确性。

关键词: Chirp脉冲, 分数阶傅里叶变换, 测距, 脉冲压缩, 多普勒频移

Abstract: In order to expand the flexibility and serviceability of range-finding for Chirp pulse, a novel range-finding method is proposed for Chirp pulse based on the fractional Fourier transform, which has less computation complexity and more expansibility, and the analytic expression of its discrete range-finding operator is derived. Thereafter the discrete accuracy and multi-target resolution as well as the influence from the Doppler shift are analyzed. Next, the main performance parameters are compared between the proposed method and the pulse compression method. It is found that both have almost the same performance accuracy if the product of pulse width and band width is large enough, while the computation complexity of the proposed method is reduced by half. Finally, simulations are made to prove the above theoretical analysis.

Key words: Chirp pulse, fractional Fourier transform, range-finding, pulse compression, Doppler shift

中图分类号:

邓兵, 王旭, 何友, 崔世麒. Chirp脉冲的分数阶傅里叶域测距[J]. 航空学报, 2012, 33(10): 1915-1922.

DENG Bing, WANG Xu, HE You, CUI Shiqi. Range-finding for Chirp Pulse in the Fractional Fourier Domain[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(10): 1915-1922.

参考文献

[1] Ding L F, Geng F L, Chen J C. Radar theory. 4th ed. Beijing: Publishing House of Electronics Industry, 2009. (in Chinese) 丁鹭飞, 耿富录, 陈建春. 雷达原理. 4版. 北京: 电子工业出版社, 2009.
[2] Cumming I G, Wong F H. Digital processing of synthetic aperture radar data: algorithms and implementation. Hong W, Hu D H, translated. Beijing: Publishing House of Electronics Industry, 2007. (in Chinese) Cumming I G, Wong F H. 合成孔径雷达成像——算法与实现. 洪文, 胡东辉, 译. 北京: 电子工业出版社, 2007.
[3] Almeida L B. The fractional Fourier transform and time-frequency representations. IEEE Transactions on Signal Processing, 1994, 42(11): 3084-3091.
[4] Qi L, Tao R, Zhou S Y, et al. Detection and paramter estimation of multicomponent LFM signal based on the fractional Fourier transform. Science in China Series F: Information Science, 2004, 47(2): 184-198.
[5] Tao R, Zhang F, Wang Y. Research progress on discretization of fractional Fourier transform. Science in China Series F: Information Science, 2008, 51(7): 859-880.
[6] Narayanan V A, Prabhu K M M. The fractional Fourier transform: theory, implementation and error analysis. Microprocessors and Microsystems, 2003, 27: 511-521.
[7] Tao R, Deng B, Wang Y. Research progress of the fractional Fourier transform in signal processing. Science in China Series F: Information Science, 2006, 49(1): 1-25.
[8] Tao R, Deng B, Wang Y. Fractional Fourier transform and its applications. Beijing: Tsinghua University Press, 2009. (in Chinese) 陶然, 邓兵, 王越. 分数阶傅里叶变换理论及应用. 北京: 清华大学出版社, 2009.
[9] Shi H Y, Zhou Y Q, Chen J. Ground moving target detection method of parallel mode airborne bistatic SAR. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35 (8): 996-1000. (in Chinese) 史洪印, 周荫清, 陈杰. 平飞模式机载双基地SAR动目标检测方法. 北京航空航天大学学报, 2009, 35 (8): 996-1000.
[10] Zhang S Y, Wu L N. ARM detection based on frequency domain masking and fractional correlation. Journal of Electronics and Information Technology, 2007, 29(5): 1092-1095. (in Chinese) 张仕元, 吴乐南. 基于频域遮隔及分数阶相关的反辐射导弹检测技术. 电子与信息学报, 2007, 29(5): 1092-1095.
[11] Deng B, Tao R, Ping D F, et al. Moving-target-detection algorithm with compensation for Doppler migration based on FRFT. Acta Armamentarii, 2009, 30(10): 1303-1309. (in Chinese) 邓兵, 陶然, 平殿发, 等. 基于分数阶傅里叶变换补偿多普勒徙动的动目标检测算法. 兵工学报, 2009, 30(10): 1303-1309.
[12] Elgamel S A, Soraghan J. Enhanced monopulse tracking radar using optimum fractional Fourier transform. IET Radar Sonar Navigation, 2011, 5(1): 74-82.
[13] Amein A S, Soraghan J J. Fractional chirp scaling algorithm-mathematical model. IEEE Transactions on Signal Processing, 2007, 55(8): 4162-4172.
[14] Amein A S, Soraghan J J. Azimuth fractional transform of the fractional chirp scaling algorithm(FrCSA). IEEE Transactions on Geoscience and Remote Sensing, 2006, 44(10): 2871-2879.
[15] Li F, Li S, Zhao Y G. Focusing azimuth-invariant bistatic SAR data with chirp scaling. IEEE Geoscience and Remote Sensing Letters, 2008, 5(3): 484-486.
[16] Zhao X H. Study on high-resolution digital computation of fractional Fourier transform and its applications. Beijing: Beijing Institute of Technology, 2005. (in Chinese) 赵兴浩. 分数阶傅立叶变换的高分辨算法及应用研究. 北京: 北京理工大学, 2005.
[17] Ozaktas H M, Arikan O, Kutay M A, et al. Digital computation of the fractional Fourier transform. IEEE Transactions on Signal Processing, 1996, 44(9): 2141-2150.
[18] Zhao X H, Deng B, Tao R, et al. Dimensional normalization in the digital computation of the fractional Fourier transform. Transactions of Beijing Institute of Technology, 2005, 25(4): 360-364.(in Chinese) 赵兴浩, 邓兵, 陶然, 等. 分数阶傅立叶变换数值计算中的量纲归一化研究. 北京理工大学学报, 2005, 25(4): 360-364.
[19] Tao R, Deng B, Zhang W Q, et al. Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain. IEEE Transactions on Signal Processing, 2008, 56(1): 158-171.
[20] Zhang W Q, Tao R. Sampling theorems for bandpass signals with fractional Fourier transform. Acta Electronica Sinica, 2005, 33(7): 1196-1199. (in Chinese) 张卫强, 陶然. 分数阶傅里叶变换域上带通信号的采样定理. 电子学报, 2005, 33(7): 1196-1199.

E-mail：hkxb@buaa.edu.cn

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Chirp脉冲的分数阶傅里叶域测距

Range-finding for Chirp Pulse in the Fractional Fourier Domain

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