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Volume 43 Issue 10
Oct.  2021
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Limin LIU, Haoxin LI, Qi LI, Zhuangzhi HAN, Zhenbin GAO. A Fast Signal Parameter Estimation Algorithm for Linear Frequency Modulation Signal under Low Signal-to-Noise Ratio Based on Fractional Fourier Transform[J]. Journal of Electronics & Information Technology, 2021, 43(10): 2798-2804. doi: 10.11999/JEIT200973
Citation: Limin LIU, Haoxin LI, Qi LI, Zhuangzhi HAN, Zhenbin GAO. A Fast Signal Parameter Estimation Algorithm for Linear Frequency Modulation Signal under Low Signal-to-Noise Ratio Based on Fractional Fourier Transform[J]. Journal of Electronics & Information Technology, 2021, 43(10): 2798-2804. doi: 10.11999/JEIT200973

A Fast Signal Parameter Estimation Algorithm for Linear Frequency Modulation Signal under Low Signal-to-Noise Ratio Based on Fractional Fourier Transform

doi: 10.11999/JEIT200973
Funds:  The National Natural Science Foundation of China (61601496), The Nature Science Foundation of Hebei Province (F2019506037)
  • Received Date: 2020-11-12
  • Rev Recd Date: 2021-08-16
  • Available Online: 2021-08-27
  • Publish Date: 2021-10-18
  • An algorithm based on high-efficiency FRactional Fourier Transform (FRFT) and fourth-order origin moments in the fractional-domain spectrum is proposed to estimate quickly the chirp signal at low signal-to-noise ratio. Firstly, the initial interval of the rotation order is determined by the sign of the FM slope. Then, the rotation order is estimated roughly by the efficient FRFT algorithm. Finally, the search interval and step size are determined according to the fourth-order origin moments of the spectrum in the fractional-domain. The simulation results show that the Linear Frequency Modulation (LFM) signal can be detected under low signal-to-noise ratio and the parameters of the signal can be estimated accurately using this algorithm, and the signal can be detected with a small amount of calculation.
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  • [1]
    DUAN Yu, WANG Jinzhen, SU Shaoying, et al. Detection of LFM signals in low SNR based on STFT and wavelet denoising[C]. 2014 International Conference on Audio, Language and Image Processing, Shanghai, China, 2014: 921–925.
    [2]
    YIN Qingbo, SHEN Liran, LU Mingyu, et al. Selection of optimal window length using STFT for quantitative SNR analysis of LFM signal[J]. Journal of Systems Engineering and Electronics, 2013, 24(1): 26–35. doi: 10.1109/JSEE.2013.00004
    [3]
    XU Fenfei, BAO Qinglong, CHEN Zengping, et al. Parameter estimation of multi-component LFM signals based on STFT+Hough transform and fractional fourier transform[C]. The 2nd IEEE Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC), Xi’an, China, 2018: 839–842.
    [4]
    ZHANG Zhichao. Linear canonical Wigner distribution based noisy LFM signals detection through the output SNR improvement analysis[J]. IEEE Transactions on Signal Processing, 2019, 67(21): 5527–5542. doi: 10.1109/TSP.2019.2941071
    [5]
    WU Yushuang and LI Xiukun. Elimination of cross-terms in the Wigner–Ville distribution of multi-component LFM signals[J]. IET Signal Processing, 2017, 11(6): 657–662. doi: 10.1049/iet-spr.2016.0358
    [6]
    ZHANG Zhichao. The optimal linear canonical Wigner distribution of noisy linear frequency-modulated signals[J]. IEEE Signal Processing Letters, 2019, 26(8): 1127–1131. doi: 10.1109/LSP.2019.2922510
    [7]
    HUANG Xiang, ZHANG Linrang, ZHANG Juan, et al. Efficient angular chirp-Fourier transform and its application to high-speed target detection[J]. Signal Processing, 2019, 164: 234–248. doi: 10.1016/j.sigpro.2019.06.011
    [8]
    YANG Tiantian, SHAO Jie, CHEN Yongliang, et al. Parameter estimation of multi component LFM signals based on nonlinear mode decomposition and FRFT[C]. The 10th International Conference on Advanced Computational Intelligence (ICACI), Xiamen, China, 2018: 204–209.
    [9]
    MIAO Hongxia, ZHANG Feng, and TAO Ran. Fractional Fourier analysis using the Möbius inversion formula[J]. IEEE Transactions on Signal Processing, 2019, 67(12): 3181–3196. doi: 10.1109/TSP.2019.2912878
    [10]
    LIU Yifei, ZHAO Yuan, ZHU Jun, et al. Iterative high-accuracy parameter estimation of uncooperative OFDM-LFM radar signals based on FRFT and fractional autocorrelation interpolation[J]. Sensors, 2018, 18(10): 3550. doi: 10.3390/s18103550
    [11]
    赵兴浩, 邓兵, 陶然. 分数阶傅里叶变换数值计算中的量纲归一化[J]. 北京理工大学学报, 2005, 25(4): 360–364. doi: 10.3969/j.issn.1001-0645.2005.04.019

    ZHAO Xinghao, DENG Bing, and TAO Ran. Dimensional normalization in the digital computation of the fractional fourier transform[J]. Transactions of Beijing Institute of Technology, 2005, 25(4): 360–364. doi: 10.3969/j.issn.1001-0645.2005.04.019
    [12]
    仇兆炀, 陈蓉, 汪一鸣. 基于FRFT的线性调频信号欠采样快速检测方法[J]. 电子学报, 2012, 40(11): 2165–2170.

    QIU Zhaoyang, CHEN Rong, and WANG Yiming. Fast detection of LFM signal based on FRFT and sub-nyquist sampling[J]. Acta Electronica Sinica, 2012, 40(11): 2165–2170.
    [13]
    ALDIMASHKI O and SERBES A. Performance of chirp parameter estimation in the fractional fourier domains and an algorithm for fast chirp-rate estimation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(5): 3685–3700. doi: 10.1109/TAES.2020.2981268
    [14]
    黄响, 唐世阳, 张林让, 等. 一种基于高效FRFT的LFM信号检测与参数估计快速算法[J]. 电子与信息学报, 2017, 39(12): 2905–2911.

    HUANG Xiang, TANG Shiyang, ZHANG Linrang, et al. A fast algorithm of LFM signal detection and parameter estimation based on efficient FRFT[J]. Journal of Electronics &Information Technology, 2017, 39(12): 2905–2911.
    [15]
    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
    [16]
    YIN Zhiping, ZHANG Dongchen, CHEN Weidong, et al. LFM signal detection using the origin moment of fractional spectrum[C]. 2008 9th International Conference on Signal Processing, Beijing, China, 2008: 191–194.
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