DOI QR코드

DOI QR Code

Analysis on the Contribution of FDOA Measurement Accuracy to the Performance of Combined TDOA/FDOA Localization Systems

TDOA/FDOA 복합 위치추정 시스템에서 FDOA 측정 정확도에 따른 추정 성능 기여도 분석

  • Kim, Dong-Gyu (Department of Electrical and Computer Engineering, Pusan National University) ;
  • Kim, Yong-Hee (Department of Electrical and Computer Engineering, Pusan National University) ;
  • Han, Jin-Woo (Agency for Defense Development) ;
  • Song, Kyu-Ha (Agency for Defense Development) ;
  • Kim, Hyoung-Nam (Department of Electrical and Computer Engineering, Pusan National University)
  • 김동규 (부산대학교 전자전기컴퓨터공학과) ;
  • 김용희 (부산대학교 전자전기컴퓨터공학과) ;
  • 한진우 (국방과학연구소) ;
  • 송규하 (국방과학연구소) ;
  • 김형남 (부산대학교 전자전기컴퓨터공학과)
  • Received : 2013.12.03
  • Accepted : 2014.04.30
  • Published : 2014.05.25

Abstract

In modern electronic warfare systems, the necessity of a more accurate estimation method based on non-AOA (arrival of angle) measurement, such as TDOA and FDOA, have been increased. The previous researches using single TDOA have been carried out in terms of not only the development of emitter location algorithms but also the enhancement of measurement accuracy. Recently, however, the combined TDOA/FDOA method is of considerable interest because it is able to estimate the velocity vector of a moving emitter and acquire a pair of TDOA and FDOA measurements from a single sensor pair. In this circumstance, it is needed to derive the required FDOA measurement accuracy in order that the TDOA/FDOA combined localization system outperforms the previous single TDOA localization systems. Therefore, we analyze the contribution of FDOA measurement accuracy to emitter location, then propose the criterion based on CRLB (Cramer-Rao lower bound). Simulations are included to examine the validity of the proposed criterion by using the Gauss-Newton algorithm.

현대 전자전 지원 시스템에서는 TDOA (time difference of arrival)나 FDOA (frequency difference of arrival)와 같은 비도래각 정보를 이용하여 미상 신호원의 위치를 추정하는 정밀 위치추정 기법의 필요성이 높아지고 있다. 기존의 단일 TDOA 기반 기법에 관한 연구는 위치추정 알고리즘뿐만 아니라 측정 정확도 향상에 대해 다양한 진척이 이루어졌으며, 최근에는 TDOA와 FDOA 정보를 동시에 사용하여 적은 수신단 수로 보다 많은 정보를 획득할 수 있고 신호원의 속도 추정이 가능한 복합 위치추정 시스템에 관한 연구가 수행되고 있다. 이러한 과정에서 TDOA/FDOA 복합 위치추정 시스템이 기존 단일 TDOA 시스템을 대체할 수 있는 추정 성능을 갖기 위해 요구되는 FDOA 측정 정확도와 성능분석 과정이 필요하다. 본 논문에서는 CRLB (Cramer-Lao lower bound)의 분석을 통해 TDOA/FDOA 위치추정 시스템이 단일 TDOA 위치추정 시스템에 비해 향상된 추정 정확도를 갖기 위해 요구되는 FDOA 측정 정확도의 기준과 이에 따른 기여도를 분석하고, Gauss-Newton 알고리즘을 이용하여 분석 결과를 검증한다.

Keywords

References

  1. Y. T. Chan and K. C. Ho, "A simple and efficient estimator for hyperbolic location," IEEE Trans. on Signal Processing, vol. 42, no. 8, Aug. 1994.
  2. M. L. Fowler and X. Hu, "Signal models for TDOA/FDOA estimation," IEEE Trans. on Aerospace and Electronic Systems, vol. 44, no. 4, pp. 1543-1550, Oct. 2008. https://doi.org/10.1109/TAES.2008.4667729
  3. Y.-K. Lee, S.-H. Yang, T.-Y. Kwon, C.-B. Lee, B.-K. Park and W.-J. Lee, "A BLUE estimator for passive localization by TDOA method," J. KICS, vol. 36, no. 11, pp. 702-711, Nov. 2011. https://doi.org/10.7840/KICS.2011.36C.11.702
  4. J.-W. Kim and D.-S. Eom, "TDoA-Based practical localization using precision time-synchronization," J. KICS, vol. 38, no. 2, pp. 141-154, Feb. 2013. https://doi.org/10.7840/kics.2013.38C.2.141
  5. K. C. Ho, "An accurate algebraic solution for moving source location using TDOA and FDOA measurements," IEEE Trans. on Signal Processing, vol. 52, no. 9, pp. 2453-2463, Sep. 2004. https://doi.org/10.1109/TSP.2004.831921
  6. L. R. Paradowski, "Microwave emitter position location : present and future," in Proc. Microwaves and Radar, 1998, vol.4, pp. 97-116.
  7. W. H. Foy "Position-location solution by Taylor-series estimation," IEEE Trans. on Aerospace and Electronic Systems, vol. AES-12, no. 2, pp. 187-194, Mar. 1976. https://doi.org/10.1109/TAES.1976.308294
  8. D. L. Adamy, EW 101: First Course in Electronic Warfare, Artech House, 2001.
  9. S. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory, Englewood Cliffs, NJ: Prentice Hall, 1993.
  10. M. L. Fowler, "Analysis of single-platform passive emitter location with terrain data," IEEE Trans. on Aerospace and Electronic Systems, vol. 37, no. 2, pp. 495-507, Apr. 2001. https://doi.org/10.1109/7.937464
  11. X. Hu "Network and sensor management for multiple sensor emitter location system," Ph.D. Dissertation, Dept. Electrical Engineering, Binghamton Univ., New York, 2008.