Journal of Central South University

, Volume 25, Issue 6, pp 1437–1446 | Cite as

RFD-Rao and RFD-Wald tests for distributed targets with range walking effect

  • Yu Wang (王宇)
  • Yun-he Cao (曹运合)Email author
  • Hong-tao Su (苏洪涛)
  • Sheng-hua Wang (王胜华)


Two novel adaptive distributed target detectors, the range frequency domain-Rao (RFD-Rao) and range frequency domain-Wald (RFD-Wald) tests are proposed in this work. The application methods for these tests consider a partially homogeneous disturbance environment and a target range walking effect in a coherent processing interval (CPI). The asymptotic performance of the detectors is analyzed, and the constant false alarm rate (CFAR) properties with respect to the clutter covariance matrix and power level are shown. The performances of the proposed adaptive detectors are assessed through Monte-Carlo simulations, and the results are presented to demonstrate the effectiveness of the proposed detection algorithms compared to those of similar existing detectors.

Key words

adaptive detection distributed target Rao test Wald test range walking 

具有距离走动效应的RFD-Rao 和RFD-Wald 分布式目标检测器


提出两种新型自适应分布式目标检测器:距离频域Rao(RFD-Rao)和距离频域Wald(RFD-Wald) 检测器。 该方法考虑相参处理间隔(CPI)内部分均匀干扰环境和目标距离走动效应的影响,分析检 测器的渐近性能,并给出不同杂波协方差矩阵和功率水平下的恒虚警率(CFAR)特性分析。将本文 所提出的自适应检测器的性能通过蒙特卡罗试验进行了验证,仿真结果证明所提出的检测算法与现有 的类似检测器相比的有效性。


自适应检测 分布式目标 Rao 检测器 Wald 检测器 距离走动 


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  1. [1]
    GERLACH K, STEINER M. Detection of a spatially distributed target in white noise [J]. IEEE Signal Processing Lett, 1997, 4(7): 198–200.CrossRefGoogle Scholar
  2. [2]
    GERLACH K. Spatially distributed target detection in non-Gaussian clutter [J]. IEEE Trans on Aerosp Electron Syst, 1999, 35(3): 926–934.MathSciNetCrossRefGoogle Scholar
  3. [3]
    CIUONZO D, MAIO A D, ORLANDO D. A unifying framework for adaptive radar detection in homogeneous plus structured interference–part I: On the maximal invariant statistic [J]. IEEE Trans on Signal Processing, 2016, 64(11): 2894–2906.MathSciNetCrossRefGoogle Scholar
  4. [4]
    MOYA J C, MAIO A D, MENOYO J G, LOPEZ A A. Experimental performance analysis of distributed target coherent radar detectors [J]. IEEE Trans on Aerosp Electron Syst, 2012, 48(3): 2216–2238.CrossRefGoogle Scholar
  5. [5]
    SUN Xin, LU Bi, JIN Tian, ZHOU Zhi. Antenna planes based wall-clutter mitigation in through-wall-imaging applications [J]. Journal of Central South University, 2016, 23(10): 2638–2646.CrossRefGoogle Scholar
  6. [6]
    CONTE E, MAIO A D, RICCI G. GLRT-based adaptive detection algorithms for range-spread targets [J]. IEEE Trans on Signal Processing, 2001, 49(7): 1336–1348.CrossRefGoogle Scholar
  7. [7]
    GERLACH K, STEINER M. Adaptive detection of range distributed targets [J]. IEEE Trans on Signal Processing, 1999, 47(7): 1844–1851.CrossRefGoogle Scholar
  8. [8]
    JIN Y, FRIEDLANDER B. A CFAR adaptive subspace detector for second-order Gaussian signals [J]. IEEE Trans on Signal Processing, 2005, 53(3): 871–884.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    BANDIERA F, MAIO A D, GRECO A S, RICCI G. Adaptive radar detection of distributed targets in homogeneous and partially homogeneous noise plus subspace interference [J]. IEEE Trans on Signal Processing, 2007, 55(4): 1223–1237.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    LIU Jun, ZHANG Zi, CAO Yun, WANG Min. Distributed target detection in subspace interference plus Gaussian noise [J]. Signal Processing, 2014, 95: 88–100.CrossRefGoogle Scholar
  11. [11]
    KAFSHGARI S, MOHSENI R. Fluctuating target detection in presence of non Gaussian clutter in OFDM radars [J]. Int J Electron Commun, 2013, 67: 885–893.CrossRefGoogle Scholar
  12. [12]
    MELVIN W L. Space-time adaptive radar performance in heterogeneous clutter [J]. IEEE Trans on Aerosp Electron Syst, 2000, 36(2): 621–633.CrossRefGoogle Scholar
  13. [13]
    WU Ren, SU Zhi, WANG Lu. Space-time adaptive monopulse processing for airborne radar in non-homogeneous environments [J]. Int J Electron Commun, 2011, 65: 258–264.CrossRefGoogle Scholar
  14. [14]
    MAIO A D, IOMMELLI S. Coincidence of the Rao test, Wald test, and GLRT in partially homogeneous environment [J]. IEEE Signal Processing Lett, 2008, 15: 385–388.CrossRefGoogle Scholar
  15. [15]
    CONTE E, MAIO A D. Distributed target detection incompound-Gaussian noise with Rao and Wald tests [J]. IEEE Trans on Aerosp Electron Syst, 2003, 39(2): 568–581.CrossRefGoogle Scholar
  16. [16]
    LIU Wei, XIE Wen, WANG Yong. Rao and Wald tests for distributed targets detection with unknown signal steering [J]. IEEE Signal Processing Lett, 2013, 20(11): 1086–1089.CrossRefGoogle Scholar
  17. [17]
    WANG Pu, LI Hong, HIMED B. Generalized parametric Rao test for multi-channel adaptive detection of range spread targets [J]. IET Signal Processing, 2012, 6(5): 404–412.MathSciNetCrossRefGoogle Scholar
  18. [18]
    SHI Bo, HAO Cheng, HOU Chao, MA Xiaochuan, PENG Cheng. Parametric Rao test for multichannel adaptive detection of range-spread target in partially homogeneous environments [J]. Signal Processing, 2015, 108: 421–429.CrossRefGoogle Scholar
  19. [19]
    BANDIERA F, BESSON O, RICCI G. Adaptive detection of distributed targets in compound-Gaussian noise without secondary data: a Bayesian approach [J]. IEEE Trans on Signal Processing, 2011, 59(12): 5698–5708.MathSciNetCrossRefGoogle Scholar
  20. [20]
    ZHOU Yu, ZHANG Lin-Rang. Knowledge-aided Bayesian radar adaptive detection in heterogeneous environment: GLRT, Rao and Wald tests [J]. Int J Electron Commun, 2012, 66: 239–243.CrossRefGoogle Scholar
  21. [21]
    XU Shu, SHUI Peng. Range-spread target detection using 2D non-local nonlinear shrinkage map [J]. Signal Processing, 2014, 98: 337–343.CrossRefGoogle Scholar
  22. [22]
    AUBRY A, MAIO A D, PALLOTTA L, FARINA A. Radar detection of distributed targets in homogeneous interference whose inverse covariance structure is defined via unitary invariant functions [J]. IEEE on Trans Signal Processing, 2013, 61(20): 4949–4961.MathSciNetCrossRefGoogle Scholar
  23. [23]
    DAI Feng, LIU Hong, SHUI Peng, WU Shun. Adaptive detection of wideband radar range spread targets with range walking in clutter [J]. IEEE Trans on Aerosp Electron Syst, 2012, 48(3): 2052–2064.CrossRefGoogle Scholar
  24. [24]
    WANG Yu, CAO Yun, SU Hong, WANG Sheng. Adaptive Rao detector for distributed targets in the frequency domain [C]//IET International Radar Conference 2015, 2015: 1–4.Google Scholar
  25. [25]
    HAO Cheng, MA Xiao, SHANG Xiu, CAI Long. Adaptive detection of distributed targets in partially homogeneous environment with Rao and Wald tests [J]. Signal Processing, 2012, 92(2012): 926–930.CrossRefGoogle Scholar
  26. [26]
    KAY S M. Fundamentals of statistical signal processing detection theory [M]. Englewood Cliffs, NJ: Prentice-Hall, 1998.Google Scholar

Copyright information

© Central South University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.National Laboratory of Radar Signal ProcessingXidian UniversityXi’anChina
  2. 2.Collaborative Innovation Center of Information Sensing and UnderstandingXidian UniversityXi’anChina

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