基于分数阶傅里叶变换的标量脱靶量测量新方法

兵工学报 ›› 2010, Vol. 31 ›› Issue (12): 1627-1631.

基于分数阶傅里叶变换的标量脱靶量测量新方法

邓兵¹, 陶然²，董云龙₁

(1.海军航空工程学院电子信息工程系, 山东烟台 264001;2.北京理工大学信息与电子学院北京 100081)

收稿日期:2009-12-10 修回日期:2009-12-10 上线日期:2014-05-04
通讯作者: 邓兵 E-mail:nasy_dbing@tom.com
作者简介:邓兵(1975—)，男，副教授
基金资助:
国家杰出青年科学基金项目(60625104)；国家自然科学基金面上项目(60902054)；中国博士后科学基金资助项目(20090460114)；“泰山学者”建设工程专项经费资助

New Method for Scalar Miss Distance Measurement Based on the Fractional Fourier Transform

DENG Bing¹, TAO Ran², DONG Yun-long₁

(1. Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University,Yantai 264001, Shandong, China;2. School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China)

Received:2009-12-10 Revised:2009-12-10 Online:2014-05-04
Contact: DENG Bing E-mail:nasy_dbing@tom.com

摘要/Abstract

摘要： 针对多普勒测量法恒幅恒频假设在脱靶量点附近会引起较大的测频误差的问题，提出了一种基于恒幅chirp信号假设的准实时标量脱靶量测量方法。通过延长多普勒频率的拟合分段时长，有效地增大了积累时间。利用分数阶傅里叶变换的快速离散算法来实现。仿真结果表明，相比基于FFT的方法，测量精度更高、鲁棒性更好，尤其是在较低信噪比的情况下，但计算复杂度略有增加。

关键词: 信息处理技术, 脱靶量, 多普勒频率, 分数阶傅里叶变换

Abstract: Since the hypothesis of constant amplitude and constant frequency, adopted by the conventional miss distance measurement method using Doppler information, leads to notable estimation error of Doppler frequency around the closest point approaching the target, a quasi real-time method of scalar miss distance measurement is proposed based on the assumption of constant amplitude chirp signal. Through increasing the fitted segment time used for Doppler frequency, the integration duration is prolonged effectively. What's more, the proposed method is realized via the fast discrete algorithm of the fractional Fourier transform. The simulation results show that, compared with the real-time method of scalar miss distance measurement based on the FFT, this method can obtain higher accuracy and better robustness, particularly when the signal-noise-ratio is low relatively. However, the computation complexity rises slightly.

Key words: information processing, miss distance, Doppler frequency, fractional fourier transform

中图分类号:

TN957
TP873

邓兵, 陶然，董云龙₁. 基于分数阶傅里叶变换的标量脱靶量测量新方法[J]. 兵工学报, 2010, 31(12): 1627-1631.

DENG Bing, TAO Ran, DONG Yun-long₁. New Method for Scalar Miss Distance Measurement Based on the Fractional Fourier Transform[J]. Acta Armamentarii, 2010, 31(12): 1627-1631.

参考文献

［1］周宇翔, 魏国华, 吴嗣亮. 基于窄脉冲的标量脱靶量测量算法［J］. 系统
工程与电子技术, 2007, 29(2):196-196.
ZHOU Yu-xiang, WEI Guo-hua, WU Si-liang. Measurement algorithm of scalar miss
distance based on narrow pulse［J］. Systems Engineering and Electronics, 2007,
29(2):196-196. (in Chinese)
［2］李志宇. 矢量脱靶量测量数据处理方法的研究［D］. 北京:北京理工大学,
2007.
LI Zhi-yu. A study of data processing method for vector miss distance measureme
nt［D］. Beijing: Beijing Institute of Technology, 2007. (in Chinese)
［3］吴嗣亮. 矢量脱靶量测量系统数据处理方法的研究与实践［D］. 北京:北京
理工大学, 1998.
WU Si-liang. Study on data processing technique for vector miss distance measur
ement system and its practice［D］. Beijing: Beijing Institute of Technology, 19
98. (in Chinese)
［4］李志宇, 吴嗣亮, 魏国华. 一种快速的矢量脱靶量测量算法［J］. 现代防
御技术, 2007, 35(5):63-66.
LI Zhi-yu, WU Si-liang, WEI Guo-hua. Measurement of vector miss distance base
d on LFM signal model［J］. Modern Defense Technology, 2007, 35(5):63-66. (in Ch
inese)
［5］马淑芬, 毛二可, 侯舒娟. 基于多普勒小波变换的脱靶量参数提取方法［J
］. 北京理工大学学报, 2006, 26(12):1081-1085.
MA Shu-fen, MAO Er-ke, HOU Shu-juan. Method of missile miss-distance paramet
ers based on dopplerlet transform［J］. Transactions of Beijing Institute of Tec
hnology, 2006, 26(12):1081-1085. (in Chinese)
［6］ TAO Ran, DENG Bing, WANG Yue. Research progress of the fract
ional fourier transform in signal processing［J］. Science in China (Ser.F, Info
rmation Science), 2006, 49(1):1-25.
［7］ QI Lin, TAO Ran, ZHOU Si-yong, et al. Detection and paramter estimation
of multicomponent LFM signal based on the fractional Fourier transform［J］. Sc
ience in China (Ser.F, Information Science), 2004, 47(2):184-198.
［8］ TAO Ran, ZHANG Feng, WANG Yue. Research progress on discretization of fr
actional Fourier transform［J］. Science in China (Ser.F, Information Science),
2008,51(7): 859-880.
［9］ Ozaktas H M, Arikan O, Kutay M A, et al. Digital computation of the frac
tional Fourier transform［J］. IEEE Trans. Signal Processing, 1996, 44(9): 2141-
2150.
［10］邓兵, 陶然, 杨曦. 分数阶Fourier域的采样及分辨率分析［J］. 自然科
学进展, 2007, 17(5):655-661.
DENG Bing, TAO Ran, YANG Xi. The analysis of sampling and resolution in the frac
tional Fourier domain［J］. Natural Science Progress, 2007, 17(5):655-661. (in C
hinese)
［11］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［
J］. 北京理工大学学报, 2005, 25(4):360-364.
ZHAO Xing-hao, DENG Bing, TAO Ran, et al. Dimensional normalization in the digi
tal computation of the fractional Fourier transform［J］. Transactions of Beijin
g Institute of Technology, 2005, 25(4):360-364. (in Chinese)

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