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基于FRFT的多分量LFM信号检测与参数估计方法

宋耀辉 黄仰超 张衡阳 秦智康 高维廷

宋耀辉, 黄仰超, 张衡阳, 等 . 基于FRFT的多分量LFM信号检测与参数估计方法[J]. 北京航空航天大学学报, 2020, 46(6): 1221-1228. doi: 10.13700/j.bh.1001-5965.2019.0430
引用本文: 宋耀辉, 黄仰超, 张衡阳, 等 . 基于FRFT的多分量LFM信号检测与参数估计方法[J]. 北京航空航天大学学报, 2020, 46(6): 1221-1228. doi: 10.13700/j.bh.1001-5965.2019.0430
SONG Yaohui, HUANG Yangchao, ZHANG Hengyang, et al. Multicomponent LFM signal detection and parameter estimation method based on FRFT[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(6): 1221-1228. doi: 10.13700/j.bh.1001-5965.2019.0430(in Chinese)
Citation: SONG Yaohui, HUANG Yangchao, ZHANG Hengyang, et al. Multicomponent LFM signal detection and parameter estimation method based on FRFT[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(6): 1221-1228. doi: 10.13700/j.bh.1001-5965.2019.0430(in Chinese)

基于FRFT的多分量LFM信号检测与参数估计方法

doi: 10.13700/j.bh.1001-5965.2019.0430
基金项目: 

国家自然科学基金 61701521

详细信息
    作者简介:

    宋耀辉 男, 硕士研究生。主要研究方向:航空数据链

    黄仰超 男, 博士, 副教授, 硕士生导师。主要研究方向:认知无线电、通信抗干扰

    张衡阳 男, 博士, 副教授, 硕士生导师。主要研究方向:航空自组网、航空数据链

    秦智康 男, 硕士研究生。主要研究方向:航空数据链

    高维廷:髙维廷 男, 博士, 讲师。主要研究方向:航空数据链

    通讯作者:

    黄仰超, E-mail: gxyxhbwhyc@sohu.com

  • 中图分类号: TN911.7

Multicomponent LFM signal detection and parameter estimation method based on FRFT

Funds: 

National Natural Science Foundation of China 61701521

More Information
  • 摘要:

    针对传统方法搜寻效率低的问题,采取瞄准搜寻策略,提出一种快速精确地检测和估计多分量线性调频(LFM)信号参数的方法。推导出LFM信号的分数阶长度和旋转角度间的近似关系;利用分数阶幅度随旋转角度变化规律,提出一种高效搜寻最优旋转角度的算法,分析得出该算法的计算量较小,相比于传统算法具有较大优势。在低信噪比情况下,进行两次S-G滤波可显著提高检测概率。仿真结果表明,所提方法在低信噪比和存在分量间信号干扰的情况下,能可靠检测和精确估计多分量LFM信号参数。

     

  • 图 1  LFM信号在不同旋转角度的分数阶长度

    Figure 1.  Fractional order length of LFM signal at different rotation angles

    图 2  旋转角度与分数阶长度关系的理想模型

    Figure 2.  Ideal model of relationship between rotation angle and fractional order length

    图 3  两个LFM信号相加时的FRFT功率谱

    Figure 3.  FRFT power spectrum of two added LFM signals

    图 4  旋转角度、分数阶次与分数阶幅度关系

    Figure 4.  Relationship between rotation angle and fractional orderamplitude, fractional order and fractional order amplitude

    图 5  chirp信号调频系数k与最优分数阶次p关系

    Figure 5.  Relationship between frequency modulation coefficient k of chirp signal and optimal fractional order p

    图 6  采样信号在旋转角度α1时的分数阶幅度

    Figure 6.  Fractional order amplitude of sampled signal at rotation angle α1

    图 7  不同信噪比条件下信号的成功检测概率

    Figure 7.  Probability of successful signal detection under different SNRs

    表  1  三分量LFM信号检测与参数估计仿真结果

    Table  1.   Simulation results of three-component LFM signal detection and parameter estimation

    分量 Δ f0 Δ k pi
    1 31.0854 25.4469 0.0854 0.4469 1.0539
    2 13.1409 45.9849 0.1409 0.0151 1.0968
    3 4.0011 14.0624 0.0011 0.0624 1.0298
    下载: 导出CSV

    表  2  单分量LFM信号FRFT调用次数与信噪比

    Table  2.   FRFT calls and SNR of single-component LFM signals

    信噪比/dB FRFT调用次数
    0 11
    -1 13
    -2 9
    -3 14
    -4 9
    -5 10
    -6 10
    -7 15
    下载: 导出CSV

    表  3  三分量LFM信号运算次数

    Table  3.   Operation times of three-componentLFM signals

    信号分量 运算次数
    1 34
    2 30
    3 24
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-08-06
  • 录用日期:  2020-01-17
  • 网络出版日期:  2020-06-20

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