Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Separate estimation of laser micro-Doppler parameters based on maximum likelihood schemes

Guo Li-Ren Hu Yi-Hua Wang Yun-Peng Xu Shi-Long

Citation:

Separate estimation of laser micro-Doppler parameters based on maximum likelihood schemes

Guo Li-Ren, Hu Yi-Hua, Wang Yun-Peng, Xu Shi-Long
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • Laser micro-Doppler (MD) effect is capable of obtaining obvious modulation in weak vibration detection. It helps to estimate target micro-motion parameters with high precision, which may extend the application field of MD to subtle identification and recognition. In laser detection, the multiple scattering points in the field of view will generate the single-channel multi-component (SCMC) signal. Moreover, the micro-Doppler features of each component will be overlapped in the time-frequency domain because of the similar micro-motion parameters. The overlapped SCMC signal makes the estimation of the MD parameters a very difficult problem, and there has been no good method so far. In this paper, a separate parameter estimator based on the maximum likelihood framework is proposed to deal with this underdetermined problem. First, the detailed period scanning method is presented to improve the estimation accuracy of micro-motion frequency from the singular value ratio (SVR) spectrum. Further, the amplitude ratio information of each component is extracted from the SVR spectrum. Then, the closed-form expressions of the maximum likelihood estimation (MLE) for the remaining micro-motion parameters are derived, where the mean likelihood estimation is used to approximate to the performance of MLE. The high nonlinearity and multi-peak distribution shape of the likelihood function (LF) in laser MD signal will lead to incorrect estimation result. To this end, a new LF based on the energy spectrum characteristics is designed. The new LF acts as a smoothing filter to the probability density function, through which the ideal PDF distribution form that has only one smooth peak is obtained. With this modification, the requirements for the initialization are reduced and the robustness in low SNR situation is increased. The Markov chain Monte Carlo sampling is employed to implement the MLE. The Gibbs method is chosen to solve the multi-dimensional parametric problems, and the detailed process is listed. In the end, the simulation results prove the feasibility and high efficiency of the proposed method. The accuracy of parameter estimation reaches the Cramer-Rao boundary. The inverse Radon transform is used as a comparison with the experiment, and the results show the precise estimation advantage of the presented method.
      Corresponding author: Hu Yi-Hua, skl_hyh@163.com
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61271353).
    [1]

    Chen V C 2006 IEEE Trans. Aerosp. Electron. Syst. 42 2

    [2]

    Jiang Y 2014 Ph. D. Dissertation (Xi'an: Xidian University) (in Chinese) [姜悦 2014 博士学位论文 (西安: 西安电子科技大学)]

    [3]

    Yang J, Liu C, Wang Y 2015 IEEE Trans. Geosci. Remote Sens. 53 920

    [4]

    Chen V C 2011 The Micro-Doppler Effect in Radar (Fitchburg: Artech House) pp15-17

    [5]

    Wang T, Tong C M, Li X M 2015 Acta Phys. Sin. 64 058401 (in Chinese) [王童, 童创明, 李西敏 2015 64 058401]

    [6]

    Hong L, Dai F, Wang X 2016 IEEE Geosci. Remote Sens. Lett. 13 1349

    [7]

    Zhu H, Zhang S N, Zhao H C 2014 Acta Phys. Sin. 63 058401 (in Chinese) [朱航, 张淑宁, 赵惠昌 2014 63 058401]

    [8]

    Simeunovic M, Popovic-Bugarin V, Djurovic I 2017 IEEE Trans. Aerosp. Electron. Syst. 53 1273

    [9]

    Tan R, Lim H S, Smits A B 2016 IEEE Region 10 Conference, TENCON, 2016 p730

    [10]

    Chen G F 2014 Ph. D. Dissertation (Xian: Xidian University) (in Chinese) [陈广锋 2014 博士学位论文 (西安: 西安电子科技大学)]

    [11]

    Zhao M M, Zhang Q, Luo Y 2017 IEEE Geosci. Remote Sens. Lett. 14 174

    [12]

    Yang Q, Deng B, Wang H 2014 EURASIP J. Wirel. Comm. 1 61

    [13]

    Huo K, You P, Jiang W D 2010 Jounal of Electronics Information Technology 32 355(in Chinese) [霍凯, 游鹏, 姜卫东 2010 电子与信息学报 32 355]

    [14]

    Deng D H, Zhang Q, Luo Y 2013 Acta Electronica Sinica 41 2339(in Chinese) [邓冬虎, 张群, 罗迎 2013 电子学报 41 2339]

    [15]

    Zhu H, Zhang S N, Zhao H C 2015 Digital Signal Process. 40 224

    [16]

    Sun Z G, Chen J, Cao X 2016 J.Syst. Engin. Electron. 10 1973

    [17]

    Zhang S N, Zhao H C, Xiong G, Guo C Y 2014 Acta Phys. Sin. 63 158401 (in Chinese) [张淑宁, 赵惠昌, 熊刚, 郭长勇 2014 63 158401]

    [18]

    Sharafinezhad S R, Alizadeh H, Eshghi M 2014 Elect. Eng. 22nd Iranian Conference on IEEE Iran, 2014 p1673

    [19]

    Wang Y, Wu X, Li W 2016 Neurocomputing 171 48

    [20]

    Yuan B, Chen Z, Xu S 2014 IEEE Trans. Geosci. Remote Sens. 52 1285

    [21]

    Setlur P, Fauzia A, Moeness A 2011 IET Signal Proc. 5 194

    [22]

    Ye Z F 2009 Statistical Signal Processing (Hefei: China University of Science and Technology Press) pp241-246 (in Chinese) [叶中付 2009 统计信号处理(合肥: 中国科学技术大学出版社) 第241-246页]

    [23]

    Guo L R, Hu Y H, Wang Y P 2016 Proceedings of the SPIE, Photonics Asia Beijng, China, October 11-14, 2016 p21

    [24]

    Hu Y, Guo L, Dong X 2016 Ubiquitous Positioning, Indoor Navigation and Location Based Services (UPINLBS) Fourth Int. Conf. IEEE Shanghai, China, November 2-4, 2016 p264

    [25]

    Hou Z F, Yang J, Zhang X 2011 Journal Wuhan University of Technology 1 142 (in Chinese) [侯者非, 杨杰, 张雪 2011 武汉理工大学学报 1 142]

    [26]

    Kay S M 2006 Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice Hall PTR: Upper Saddle River) pp142-150

    [27]

    Li j, Zhao Y J, Li D H 2014 Acta Phys. Sin. 63 130701 (in Chinese) [李晶, 赵拥军, 李冬海 2014 63 130701]

    [28]

    Guo L R, Hu Y H, Wang Y P 2017 Infrared and Laser Engineering 46 17 (in Chinese) [郭力仁, 胡以华, 王云鹏 2017 红外与激光工程 46 17]

  • [1]

    Chen V C 2006 IEEE Trans. Aerosp. Electron. Syst. 42 2

    [2]

    Jiang Y 2014 Ph. D. Dissertation (Xi'an: Xidian University) (in Chinese) [姜悦 2014 博士学位论文 (西安: 西安电子科技大学)]

    [3]

    Yang J, Liu C, Wang Y 2015 IEEE Trans. Geosci. Remote Sens. 53 920

    [4]

    Chen V C 2011 The Micro-Doppler Effect in Radar (Fitchburg: Artech House) pp15-17

    [5]

    Wang T, Tong C M, Li X M 2015 Acta Phys. Sin. 64 058401 (in Chinese) [王童, 童创明, 李西敏 2015 64 058401]

    [6]

    Hong L, Dai F, Wang X 2016 IEEE Geosci. Remote Sens. Lett. 13 1349

    [7]

    Zhu H, Zhang S N, Zhao H C 2014 Acta Phys. Sin. 63 058401 (in Chinese) [朱航, 张淑宁, 赵惠昌 2014 63 058401]

    [8]

    Simeunovic M, Popovic-Bugarin V, Djurovic I 2017 IEEE Trans. Aerosp. Electron. Syst. 53 1273

    [9]

    Tan R, Lim H S, Smits A B 2016 IEEE Region 10 Conference, TENCON, 2016 p730

    [10]

    Chen G F 2014 Ph. D. Dissertation (Xian: Xidian University) (in Chinese) [陈广锋 2014 博士学位论文 (西安: 西安电子科技大学)]

    [11]

    Zhao M M, Zhang Q, Luo Y 2017 IEEE Geosci. Remote Sens. Lett. 14 174

    [12]

    Yang Q, Deng B, Wang H 2014 EURASIP J. Wirel. Comm. 1 61

    [13]

    Huo K, You P, Jiang W D 2010 Jounal of Electronics Information Technology 32 355(in Chinese) [霍凯, 游鹏, 姜卫东 2010 电子与信息学报 32 355]

    [14]

    Deng D H, Zhang Q, Luo Y 2013 Acta Electronica Sinica 41 2339(in Chinese) [邓冬虎, 张群, 罗迎 2013 电子学报 41 2339]

    [15]

    Zhu H, Zhang S N, Zhao H C 2015 Digital Signal Process. 40 224

    [16]

    Sun Z G, Chen J, Cao X 2016 J.Syst. Engin. Electron. 10 1973

    [17]

    Zhang S N, Zhao H C, Xiong G, Guo C Y 2014 Acta Phys. Sin. 63 158401 (in Chinese) [张淑宁, 赵惠昌, 熊刚, 郭长勇 2014 63 158401]

    [18]

    Sharafinezhad S R, Alizadeh H, Eshghi M 2014 Elect. Eng. 22nd Iranian Conference on IEEE Iran, 2014 p1673

    [19]

    Wang Y, Wu X, Li W 2016 Neurocomputing 171 48

    [20]

    Yuan B, Chen Z, Xu S 2014 IEEE Trans. Geosci. Remote Sens. 52 1285

    [21]

    Setlur P, Fauzia A, Moeness A 2011 IET Signal Proc. 5 194

    [22]

    Ye Z F 2009 Statistical Signal Processing (Hefei: China University of Science and Technology Press) pp241-246 (in Chinese) [叶中付 2009 统计信号处理(合肥: 中国科学技术大学出版社) 第241-246页]

    [23]

    Guo L R, Hu Y H, Wang Y P 2016 Proceedings of the SPIE, Photonics Asia Beijng, China, October 11-14, 2016 p21

    [24]

    Hu Y, Guo L, Dong X 2016 Ubiquitous Positioning, Indoor Navigation and Location Based Services (UPINLBS) Fourth Int. Conf. IEEE Shanghai, China, November 2-4, 2016 p264

    [25]

    Hou Z F, Yang J, Zhang X 2011 Journal Wuhan University of Technology 1 142 (in Chinese) [侯者非, 杨杰, 张雪 2011 武汉理工大学学报 1 142]

    [26]

    Kay S M 2006 Fundamentals of Statistical Signal Processing: Estimation Theory (Prentice Hall PTR: Upper Saddle River) pp142-150

    [27]

    Li j, Zhao Y J, Li D H 2014 Acta Phys. Sin. 63 130701 (in Chinese) [李晶, 赵拥军, 李冬海 2014 63 130701]

    [28]

    Guo L R, Hu Y H, Wang Y P 2017 Infrared and Laser Engineering 46 17 (in Chinese) [郭力仁, 胡以华, 王云鹏 2017 红外与激光工程 46 17]

  • [1] Li Jing, Ding Hai-Tao, Zhang Dan-Wei. Quantum Fisher information and parameter estimation in non-Hermitian Hamiltonians. Acta Physica Sinica, 2023, 72(20): 200601. doi: 10.7498/aps.72.20230862
    [2] Cao Bao-Feng, Li Peng, Li Xiao-Qiang, Zhang Xue-Qin, Ning Wang-Shi, Liang Rui, Li Xin, Hu Miao, Zheng Yi. Detection and parameter estimation of weak pulse signal based on strongly coupled Duffing oscillators. Acta Physica Sinica, 2019, 68(8): 080501. doi: 10.7498/aps.68.20181856
    [3] Huang Yu, Liu Yu-Feng, Peng Zhi-Min, Ding Yan-Jun. Research on particle swarm optimization algorithm with characteristic of quantum parallel and its application in parameter estimation for fractional-order chaotic systems. Acta Physica Sinica, 2015, 64(3): 030505. doi: 10.7498/aps.64.030505
    [4] Fan Wen-Ping, Jiang Xiao-Yun. Parameters estimation for a one-dimensional time fractional thermal wave equation with fractional heat flux conditions. Acta Physica Sinica, 2014, 63(14): 140202. doi: 10.7498/aps.63.140202
    [5] Zhang Shu-Ning, Zhao Hui-Chang, Xiong Gang, Guo Chang-Yong. Separation and parameter estimation of single channel sinusoidal frequency modulated signal mixture sources based on particle filtering. Acta Physica Sinica, 2014, 63(15): 158401. doi: 10.7498/aps.63.158401
    [6] Wang Liu, He Wen-Ping, Wan Shi-Quan, Liao Le-Jian, He Tao. Evolutionary modeling for parameter estimation for chaotic system. Acta Physica Sinica, 2014, 63(1): 019203. doi: 10.7498/aps.63.019203
    [7] Cao Xiao-Qun. Parameter estimation of nonlinear map based on second-order discrete variational method. Acta Physica Sinica, 2013, 62(8): 080506. doi: 10.7498/aps.62.080506
    [8] Lin Jian, Xu Li. Parameter estimation for chaotic systems based on hybrid biogeography-based optimization. Acta Physica Sinica, 2013, 62(3): 030505. doi: 10.7498/aps.62.030505
    [9] Wang Shi-Yuan, Feng Jiu-Chao. A novel method of estimating parameter and its application to blind separation of chaotic signals. Acta Physica Sinica, 2012, 61(17): 170508. doi: 10.7498/aps.61.170508
    [10] Song Jun-Qiang, Cao Xiao-Qun, Zhang Wei-Min, Zhu Xiao-Qian. Estimating parameters for coupled air-sea model with variational method. Acta Physica Sinica, 2012, 61(11): 110401. doi: 10.7498/aps.61.110401
    [11] Long Wen, Jiao Jian-Jun. Parameter estimation for chaotic system based on evolution algorithm with hybrid crossover. Acta Physica Sinica, 2012, 61(11): 110507. doi: 10.7498/aps.61.110507
    [12] Li Yang, Guo Shu-Xu. A new method to estimate the parameter of 1/f Noise of high power semiconductor laser diode based on sparse decomposition. Acta Physica Sinica, 2012, 61(3): 034208. doi: 10.7498/aps.61.034208
    [13] Wang Kai, Pei Wen-Jiang, Zhang Yi-Feng, Zhou Si-Yuan, Shao Shuo. Parameter estimate from coupled map lattices based on symbolic vector dynamics. Acta Physica Sinica, 2011, 60(7): 070502. doi: 10.7498/aps.60.070502
    [14] Cao Xiao-Qun, Song Jun-Qiang, Zhang Wei-Min, Zhao Jun, Zhang Li-Lun. Estimating parameters of chaotic system with variational method. Acta Physica Sinica, 2011, 60(7): 070511. doi: 10.7498/aps.60.070511
    [15] Zhang Zhen-Guo, Gao Feng-Li, Guo Shu-Xu, Li Xue-Yan, Yu Si-Yao. A novel method to estimate the parameters of 1/f noise of semiconductor laser diodes. Acta Physica Sinica, 2009, 58(4): 2772-2775. doi: 10.7498/aps.58.2772
    [16] Wang Jun-Yan, Huang De-Xian. Parameter estimation for chaotic systems based on hybrid differential evolution algorithm. Acta Physica Sinica, 2008, 57(5): 2755-2760. doi: 10.7498/aps.57.2755
    [17] Chen Zheng, Zeng Yi-Cheng, Fu Zhi-Jian. A novel parameter estimation method of signal in chaotic background. Acta Physica Sinica, 2008, 57(1): 46-50. doi: 10.7498/aps.57.46
    [18] Li Li-Xiang, Peng Hai-Peng, Yang Yi-Xian, Wang Xiang-Dong. Parameter estimation for Lorenz chaotic systems based on chaotic ant swarm algorithm. Acta Physica Sinica, 2007, 56(1): 51-55. doi: 10.7498/aps.56.51
    [19] Jia Fei-Lei, Xu Wei, Du Lin. Generalized synchronization of different orders of chaotic systems with unknown parameters and parameter identification. Acta Physica Sinica, 2007, 56(10): 5640-5647. doi: 10.7498/aps.56.5640
    [20] Gao Fei, Tong Heng-Qing. Parameter estimation for chaotic system based on particle swarm optimization. Acta Physica Sinica, 2006, 55(2): 577-582. doi: 10.7498/aps.55.577
Metrics
  • Abstract views:  5901
  • PDF Downloads:  106
  • Cited By: 0
Publishing process
  • Received Date:  12 December 2017
  • Accepted Date:  23 January 2018
  • Published Online:  05 June 2018

/

返回文章
返回
Baidu
map