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적응형 칼만 필터를 이용한 확장 표적의 상태벡터 추정 기법

Extended Target State Vector Estimation using AKF

  • Cho, Doo-Hyun (Division of Aerospace Engineering - Korea Advanced Institute of Science and Technology) ;
  • Choi, Han-Lim (Division of Aerospace Engineering - Korea Advanced Institute of Science and Technology) ;
  • Lee, Jin-Ik (Agency for Defense Development) ;
  • Jeong, Ki-Hwan (College of Information Technology & Engineering - Inha University) ;
  • Go, Il-Seok (College of Information Technology & Engineering - Inha University)
  • 투고 : 2014.11.26
  • 심사 : 2015.05.29
  • 발행 : 2015.06.01

초록

본 논문에서는 빠르게 기동하는 표적의 상태벡터를 효과적으로 추정하는 필터링 기법을 제안한다. 적 미사일을 높은 확률로 요격하기 위해서는 스윗 스팟이라고 불리는 지점을 타격해야 하며, 이를 위해서는 표적의 길이와 위치를 정확히 추정해야 한다. 논문에서는 FMCW 레이다에 기반하여 고분해능 거리 프로파일(HRRPs)을 생성한 후 제안된 필터링 기법을 통해 표적의 길이와 움직임을 추정하고 있다. 실제에 가까운 레이다 측정치를 모사하기 위해 ISAR 이미지를 통해 각도에 따른 표적의 산란점 특성에 대한 연구가 진행되었다. 또한 측정 잡음 공분산 행렬 R 이 고정되어 있는 기존의 칼만 필터의 경우 SNR 값이 급격히 변화하는 상황에서는 표적의 효과적인 추적이 어려우며, 제안된 기법에서는 공분산 행렬 R 을 측정값을 이용해 지속적으로 개선하며 표적을 추적하게 된다. 기법의 성능 확인을 위해 요격 미사일이 목표물을 추적하는 상황에 대하여 시뮬레이션이 수행되었으며, 시뮬레이션 결과는 제안된 필터링 기법이 실제 데이터에 효과적으로 수렴함을 보인다.

This paper proposes a filtering method for effective state vector estimation of highly maneuvering target. It is needed to hit the point called 'sweet spot' to increase the kill probability in missile interception. In paper, a filtering method estimates the length of a moving target tracked by a frequency modulated continuous wave (FMCW) radar. High resolution range profiles (HRRPs) is generated from the radar echo signal and then it's integrated into proposed filtering method. To simulate the radar measurement which is close to real, the study on the properties of scattering point of the missile-like target has been conducted with ISAR image for different angle. Also, it is hard to track the target efficiently with existing Kalman filters which has fixed measurement noise covariance matrix R. Therefore the proposed method continuously updates the covariance matrix R with sensor measurements and tracks the target. Numerical simulations on the proposed method shows reliable results under reasonable assumptions on the missile interception scenario.

키워드

참고문헌

  1. H. S. Kim, K. T. Kim, and G. W. Jeon, "A requirement Assessment Algorithm for Anti-Ballistic Missile Considering Ballistic Missile's Flight Characteristics, Journal of the Korea Institute of Military Science and Technology", 14(6), pp. 1009-1017, Dec. 2011 https://doi.org/10.9766/KIMST.2011.14.6.1009
  2. Samuel S. Blackman, "Multiple-Target Tracking with Radar Applications", Artech House Radar Library, Dec. 1986
  3. Y. Bar-Shalom and X. R. Lie, 1993, "Estimation and Tracking Principles", Techniques and Software, Artech House, Boston, London
  4. G. G. Choi, S. K. Han, H. J. Jo, H. T. Kim, K. T. Kim, S. C. Song, and Y. J. Na, "A Study on Signal Processing of Ballistic Missile Warhead Discrimination Using ESPRIT in Millimeter-Wave (Ka-Band) Seeker", Journal of the Korea Institute of Military Science and Technology, 23(2), pp. 266-269, Feb. 2012
  5. Antonio P. SanJose, 1998, "Theater Ballistic Missile Defense-Multisensor Fusion, Targeting and Tracking Techniques", Master of Science in Electrical Engineering from the Naval Postgraduate School, pp. 5-7
  6. Jean Dezert, "Tracking maneuvering and bending extended target in cluttered environment", In Proc. of SPIE, volume 3373, pp. 283-294, 1998
  7. Branko Ristic and David J. Salmond, "A study of a nonlinear filtering problem for tracking an extended target", ISIF (International Conference on Information Fusion), volume I, pp. 503-509, June, 2004
  8. R. K. Mehra, 1970, "On the identification of variance and adaptive Kalman filtering", IEEE Trans. on Automatic Control, Vol. 15, No.2, pp. 175-184 https://doi.org/10.1109/TAC.1970.1099422
  9. R. M. Lloyd, "Physics of Direct Hit and Near Miss Warhead Technology", Progress in Astronautics and Aeronautics, 2001
  10. Graham M. Brooker, "Understanding Millimetre Wave FMCW Radars", 1st International Conference on Sensing Technology, pp. 152-157, Nov. 2005
  11. D. H. Cho, H. L. Choi, J. I. Lee and K. R. Song, "HRRPs-Based Target Length Estimation Using a FMCW Radar", IEEE Radarcon 2014, pp329-333, May. 2014
  12. D. H. Cho and H. L. Choi, Target Tracking based on SNR-Adaptive Kalman Filter, KSAS Autumn Conference, Nov. 2014
  13. M. Skolnik, Introduction to Radar Systems 2nd ed, McGraw Hill, 1980
  14. J. W. Park, D. S. Jang, H. L. Choi, M. J. Tahk, J. E. Roh and S. J. Kim, "Integrated Simulator of Airborne Multi-function Radar Resource Manager and Environment Model," Journal of the Korean Society for Aeronautical and Space Science, vol. 41, No. 7, pp. 577-587, 2013. https://doi.org/10.5139/JKSAS.2013.41.7.577