Initialization of Cost Function for ML-Based DOA Estimation

ML 알고리즘 기반의 도래각 추정을 위한 비용 함수의 초기화 방법 비교

  • 조상호 (세종대학교 정보통신공학과) ;
  • 이준호 (세종대학교 정보통신공학과)
  • Published : 2008.01.31

Abstract

Maximum likelihood(ML) diretion-of-arrival(DOA) estimation is essentially optimization of multivariable nonlinear cost function. Since the final estimate is highly dependent on the initial estimate, an initialization is critical in nonlinear optimization. We propose a multi-dimensional(M-D) search scheme of uniform exhaustive search and improved exhaustive search. Improved exhaustive search is superior to uniform exhaustive search in terms of the computational complexity and the accuracy of the estimates.

ML(Maximum Likelihood) 방법 기반의 도래각(Direction-of-Arrival, DOA) 추정은 본질적으로 다차원 비선형 비용 함수의 최적화 과정이다. 초기 추정치에 기울기(gradient) 기반 탐색을 적용하여 최종 추정치를 구하기 때문에, 초기 추청치의 정확성은 매우 중요하다. 본 논문은 균등한 전체탐색(uniform exhaustive search)과 개선된 전체탐색(improved exhaustive search)의 다차원 탐색 방법을 제안한다. 개선된 전체탐색 기법은 균등한 전체탐색의 기법에 비하여 정확성 측면과 계산량 측면에서 우수하다.

Keywords

References

  1. Lai C. Godara, "Application of antenna arrays to mobile communication, Part II: Beamforming and direction-of-arrival considerations," Proc. IEEE, vol. 85, no. 8, pp. 1195-1245 August 1997 https://doi.org/10.1109/5.622504
  2. J. Capon, "High-resolution frequency-wavenumber spectrum analysis," Proc. IEEE, vol. 57, no. 8, pp. 2408-2418, Aug. 1969
  3. Don H. Johnson, "The application of spectral estimation methods to bearing estimation problems," Proc. IEEE, vol. 79, no. 9, Sep. 1982
  4. R.O.Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Transactions on Antennas and Propagation, vol. 34, pp. 276-280, 1986 https://doi.org/10.1109/TAP.1986.1143830
  5. R. Kumaresan and D.W.Tufts, "Estimating the angles of arrival of multiple plane waves," IEEE Transactions on Aerospace and Electronic Systems, vol. 19, no. 1, pp. 134-139, Jan. 1983 https://doi.org/10.1109/TAES.1983.309427
  6. J. A. Cadzow, "General DOA estimation-A signal subspace approach," IEEE Transactions on Aerospace and Electronic Systems, vol. 25, no. 1, pp.31-47, Jan. 1989 https://doi.org/10.1109/7.18659
  7. Y. Bresler and A. Macovski, "Exact maximum likelihood parameter estimation of superimposed exponential signals in noise," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, Oct. 1986
  8. R. Roy and T. Kailath, "ESPRIT-Estimation of signal parameters via rotational invariance techniques," IEEE Transactions on Aerospace and Electronic Systems, vol. 37, no. 7, pp. 984-995, July 1989
  9. Ziskind and M. Wax, "Maximum likelihood localization of multiple sources by alternating projection," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1553-1560, Oct. 1988 https://doi.org/10.1109/29.7543
  10. S. A. Vorobyov, A.B. Gershman, and K.M. Wong, "Maximum likelihood direction-of-arrival estimation in unknown noise fields using sparse sensor arrays," IEEE Trans. Signal Processing, vol. 53, pp. 34-43, Jan. 2005 https://doi.org/10.1109/TSP.2004.838966
  11. Pei-Jung Chung, "Stochastic maximum likelihood estimation under misspecified numbers of signals," IEEE Trans. Signal Processing, vol. 55, pp. 4726-4731, Sep. 2007 https://doi.org/10.1109/TSP.2007.896057
  12. S Marano, V Matta and P Willett and L Tong, "Support-based and ML approaches to DOA estimation in a dumb sensor network," IEEE Trans. Signal Processing, vol. 54, pp. 1563-1567, Apr. 2006 https://doi.org/10.1109/TSP.2006.870553
  13. D Rahamim, J Tabrikian and R Shavit "Source localization using vector sensor array in a multipath environment," IEEE Trans. Signal Processing, vol. 52, pp. 3096-3103, Nov. 2004 https://doi.org/10.1109/TSP.2004.836456
  14. R. E. Bethel and K. L. Bell, "Maximum likelihood approach to joint array detection/estimation," IEEE Trans. aerospace and Electronic Systems, vol. 40, pp. 1060-1072, Jul. 2004 https://doi.org/10.1109/TAES.2004.1337474
  15. Y.I. Abramovich, N. K. Spencer and A. Y. Gorokhov, "Bounds on maximum likelihood ratio-part I: application to antenna array detection-estimation with perfect wavefront coherence," IEEE Trans. Signal Processing, vol. 52, pp. 1524-1536, Jun. 2004 https://doi.org/10.1109/TSP.2004.827199