基于分数阶傅里叶变换的线性调频脉冲时延估计特性分析

doi:10.3969/j.issn.1000-1093.2012.06.022

兵工学报 ›› 2012, Vol. 33 ›› Issue (6): 764-768.doi: 10.3969/j.issn.1000-1093.2012.06.022

• 研究简报 • 上一篇

基于分数阶傅里叶变换的线性调频脉冲时延估计特性分析

邓兵¹，王旭¹，陶然²，刘贤忠¹

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

收稿日期:2011-03-31 修回日期:2011-03-31 上线日期:2014-03-04
作者简介:邓兵（1975—），男，副教授
基金资助:
国家自然科学基金项目（60902054）；中国博士后科学基金项目(201003758；20090460114)

Performance Analysis of Time Delay Estimation for Linear Frequency-modulated Pulse Based onFractional Fourier Transform

DENG Bing¹， WANG Xu¹， TAO Ran²， LIU Xian-zhong¹

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

Received:2011-03-31 Revised:2011-03-31 Online:2014-03-04

摘要/Abstract

摘要： 以线性调频脉冲压缩的时域特性为参照，分析了基于分数阶傅里叶变换的LFM脉冲时延估计的分数阶傅里叶域特性，并对比了两者在数字信号处理上的差异。可以发现两者在输出信噪比、脉宽压缩比、峰值振幅比的特性基本一致，而在数字实现上，后者精度往往更高，所需数据率可以更低，因此，具有更为广阔的应用前景。

关键词: 信息处理技术, 时延估计, 线性调频脉冲, 分数阶傅里叶变换

Abstract: The time delay estimation for linear frequency-modulated (LFM) pulse based on the fractional Fourier transform was analyzed in the fractional Fourier domain, taken the time domain performance of linear frequency-modulated pulse compression as reference. Also, the difference between these two methods was discussed in digital signal processing. It is found that they have almost the same output signal to noise ratio, pulse-width compression ratio and peak amplitude ratio. Furthermore, the latter has higher precision in the time delay estimation in digital implementation, needs less data rate, and has more potential.

中图分类号:

邓兵，王旭，陶然，刘贤忠. 基于分数阶傅里叶变换的线性调频脉冲时延估计特性分析[J]. 兵工学报, 2012, 33(6): 764-768.

DENG Bing， WANG Xu， TAO Ran， LIU Xian-zhong. Performance Analysis of Time Delay Estimation for Linear Frequency-modulated Pulse Based onFractional Fourier Transform[J]. Acta Armamentarii, 2012, 33(6): 764-768.

参考文献

[1］丁鹭飞, 耿富录, 陈建春,等.雷达原理[M]. 第4版. 北京: 电子工业出版社, 2009.
DING Lu-fei, GENG Fu-lu, CHEN Jian-chun, et al. Radar theory[M]. 4th ed. Beijing: Publishing House of Electronics Industry, 2009. (in Chinese)
[2］向敬成.信号检测与估计[M]. 北京:电子工业出版社, 1994.
XIANG Jing-cheng. Signal detection and estimation[M]. Beijing: Publishing House of Electronics Industry, 1994. (in Chinese)
[3］ Quazi A H. An overview on the time delay estimate in active and passive systems for target localization[J]. IEEE Trans Acoustics, Speech and Signal Processing, 1981, 29(3):527-533.
[4］ Knapp C, Carter G. The generalized correlation method for estimation of time delay[J]. IEEE Trans Acoustics, Speech and Signal Processing, 1976, 24(4):320-327.
[5］ Cabot R C. A note on the application of the Hilbert transform to time delay estimation[J]. IEEE Trans Acoustics, Speech and Signal Processing, 1981, 29(3): 607-609.
[6］ Hussain Z M, Boashash B. Hilbert transformer and time delay: Statistical comparison in the presence of Gaussian noise[J]. IEEE Trans Signal Processing, 2002, 50(3): 501-508.
[7］ Cedric L B, Vincent B, Wang Y D. Modified ESPRIT(M-ESPRIT) algorithm for time delay estimation in both any noise and any radar pulse context by a GPR radar[J]. Signal Processing, 2009, 90(1): 173-179.
[8］ Ge F X, Shen D X, Peng Y N, et al. Super-resolution time delay estimation in multipath environments[J]. IEEE Trans Circuits and Systems-I, 2007, 54(9):1977-1986.
[9］ Govindan R B, Raethjen J, Kopper F, et al. Estimation of time delay by coherence analysis[J]. Physica A: Statistical Mechanics and its Applications, 2005, 350(2-4): 277-295.
[10］ Liang Y C, Leyman A R. Time delay estimation using higher order statistics[J]. Electronics Letters, 1997, 33(9):751-753.
[11］ Wu Y. Time delay estimation of non-Gaussian signal in unknown Gaussian noises using third-order cumulants [J]. Electronics Letters, 2002, 38(16): 930-931.
[12］陶然,邓兵,王越. 分数阶傅里叶变换理论及应用[M]. 北京:清华大学出版社, 2009.
TAO Ran, DENG Bing, WANG Yue. Fractional Fourier transform and its applications[M]. Beijing: Tsinghua University Press, 2009. (in Chinese)
[13］ Tao Ran, Li Xue-Mei, Li Yan-Lei, et al. Time delay estimation of chirp signals in the fractional Fourier domain[J]. IEEE Trans Signal Processing, 2009, 57(7): 2852-2855.
[14］邓兵,陶然,齐林，等. 分数阶Fourier变换与时频滤波[J]. 系统工程与电子技术, 2004,26(10):1357-1359.
DENG Bing, TAO Ran, QI Lin, et al. Fractional Fourier transform and time-frequency filtering[J]. Systems Engineering and Electronics, 2004, 26(10):1357-1359. (in Chinese)
[15］ Yetik I S. Beamforming using fractional Fourier transform[J]. IEEE Trans Signal Processing,2003, 51(6): 1663-1668.
[16］吴曼青,葛家龙. 数字阵列合成孔径雷达[J]. 雷达科学与技术, 2009, 7(1):1-9.
WU Man-qing, GE Jia-long. Digital array synthetic aperture radar[J]. Radar Science and Technology, 2009, 7(1):1-9. (in Chinese)
[17］ Tao Ran, Deng Bing, Zhang Wei-qiang, et al. Sampling and sampling rate conversion of band limited signals in the fractional Fourier transform domain[J]. IEEE Trans Signal Processing, 2008, 56(1):158-171.

[1]	朱小婷，张君，王璐，陈志菲，鲍明，王翊. 基于小波奇异特征约束的期望最大时延估计算法[J]. 兵工学报, 2024, 45(4): 1108-1116.
[2]	刘望生, 潘海鹏, 王明环. 多特征下室内声源定位的复合模型粒子滤波[J]. 兵工学报, 2024, 45(3): 975-985.
[3]	曾溢良，蓝金辉，邹金霖. 滑动置信度约束的红外弱小目标跟踪算法研究[J]. 兵工学报, 2017, 38(9): 1771-1778.
[4]	李关防，崔杰，袁富宇. 基于线谱瞬时频率估计的被动声纳目标运动分析[J]. 兵工学报, 2017, 38(7): 1395-1401.
[5]	朱甦，薄煜明，何亮. 基于冗余字典的多特征压缩感知目标跟踪算法[J]. 兵工学报, 2017, 38(6): 1140-1146.
[6]	王啸, 韩太林, 张永立, 刘轩, 王义君, 宫玉琳. 多通道瞬态信号自适应变频算法[J]. 兵工学报, 2017, 38(6): 1161-1167.
[7]	张石，张百海，王飞帆，关子霄. 基于跳数量化的无线传感器网络节点定位算法[J]. 兵工学报, 2017, 38(5): 932-939.
[8]	夏平, 任强, 吴涛, 雷帮军. 融合多尺度统计信息模糊C均值聚类与Markov随机场的小波域声纳图像分割[J]. 兵工学报, 2017, 38(5): 940-948.
[9]	曹俊，郑翠娥，孙大军，张殿伦. 基于凸优化的水下载体定位研究[J]. 兵工学报, 2017, 38(3): 520-526.
[10]	向颉，茅永兴，郭才发. 船载雷达测速数据的船速修正新方法[J]. 兵工学报, 2017, 38(11): 2268-2273.
[11]	潘江怀，乔慧. 多传感器空间配准的病态性及其稳健估计[J]. 兵工学报, 2017, 38(10): 1965-1973.
[12]	王清，丁赤飚，付琨，任文娟. 基于膨胀运算的移动对象兴趣点检测方法[J]. 兵工学报, 2017, 38(10): 2041-2047.
[13]	李子高，李淑秋，闻疏琳. 一种基于独立成分分析的水下宽带信号波达方位估计方法[J]. 兵工学报, 2017, 38(1): 114-122.
[14]	刘泳庆，蒋硕，于栋，邵晓田. 窄带干扰抑制对码相位测量零值的影响分析[J]. 兵工学报, 2016, 37(2): 293-298.
[15]	管四海, 李智，黄辉，王哲. 带零吸收项的变步长l₀范数归一化最小均方误差算法[J]. 兵工学报, 2016, 37(11): 2170-2176.

基于分数阶傅里叶变换的线性调频脉冲时延估计特性分析

Performance Analysis of Time Delay Estimation for Linear Frequency-modulated Pulse Based onFractional Fourier Transform

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价