DOI QR코드

DOI QR Code

Quasi-Optimal Linear Recursive DOA Tracking of Moving Acoustic Source for Cognitive Robot Auditory System

인지로봇 청각시스템을 위한 의사최적 이동음원 도래각 추적 필터

  • 한슬기 (연세대학교 전기전자공학과) ;
  • 나원상 (한동대학교 기계제어공학부) ;
  • 황익호 (국방과학연구소) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Received : 2010.11.15
  • Accepted : 2010.12.20
  • Published : 2011.03.01

Abstract

This paper proposes a quasi-optimal linear DOA (Direction-of-Arrival) estimator which is necessary for the development of a real-time robot auditory system tracking moving acoustic source. It is well known that the use of conventional nonlinear filtering schemes may result in the severe performance degradation of DOA estimation and not be preferable for real-time implementation. These are mainly due to the inherent nonlinearity of the acoustic signal model used for DOA estimation. This motivates us to consider a new uncertain linear acoustic signal model based on the linear prediction relation of a noisy sinusoid. Using the suggested measurement model, it is shown that the resultant DOA estimation problem is cast into the NCRKF (Non-Conservative Robust Kalman Filtering) problem [12]. NCRKF-based DOA estimator provides reliable DOA estimates of a fast moving acoustic source in spite of using the noise-corrupted measurement matrix in the filter recursion and, as well, it is suitable for real-time implementation because of its linear recursive filter structure. The computational efficiency and DOA estimation performance of the proposed method are evaluated through the computer simulations.

Keywords

References

  1. C. K. Sword, M. Simaan, and E. W. Kamen, "Multiple target angle tracking using sensor array outputs," IEEE Trans. Aerosp. Electron. Syst., vol. 26, no. 2, pp. 367-373, 1990. https://doi.org/10.1109/7.53463
  2. C. R. Rao, C. R. Sastry, and B. Zhou, "Tracking the direction of arrival of multiple moving targets," IEEE Trans. Signal Processing, vol. 42, no. 5, pp. 1133-1143, 1994. https://doi.org/10.1109/78.295205
  3. O. Besson, P. Stoica, and A. B. Gershman, "Simple and accurate direction of arrival estimator in the case of imperfect spatial coherence," IEEE Trans. Signal Processing, vol. 49, no. 4, pp. 730-737, 2001. https://doi.org/10.1109/78.912917
  4. H. Abeida and J.-P. Delmas, "MUSIC-like estimation of direction of arrival for noncircular sources," IEEE Trans. Signal Processing, vol. 54, no. 7, pp. 2678-2690, 2006. https://doi.org/10.1109/TSP.2006.873505
  5. A. Ferreol, P. Larzabal, and M. Viberg, "Performance prediction of maximum-likelihood direction-of-arrival estimation in the presence of modeling errors," IEEE Trans. Signal Processing, vol. 56, no. 10, pp. 4785-4793, 2008. https://doi.org/10.1109/TSP.2008.921794
  6. R. O. Schmidt, "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propagat., vol. 34, no. 3, 1986. https://doi.org/10.1109/TAP.1986.1143830
  7. B. D. Van Veen and K. M. Buckley, "Beamforming: A Versatile Approach to Spatial Filtering," IEEE ASSP Magazine, pp. 4-24, 1988. https://doi.org/10.1109/53.665
  8. P. Stoica and A. Nehorai, "MUSIC, Maximum Likeli-hood, and Cramer-Rao Bound," IEEE Trans. Acouts., Speech, Signal Processing, vol. 37, no. 5, pp. 720-741, 1989. https://doi.org/10.1109/29.17564
  9. H. Krim and M. Viberg, "Two decades of array signal processing research," IEEE Signal Processing Magazine, pp. 67-94, 1996. https://doi.org/10.1109/79.526899
  10. J. Li and R. T. Compton, "Maximum likelihood angle estimation for signals with known waveforms," IEEE Trans. Signal Processing, vol. 41, no. 9, pp. 2850-2862, 1993. https://doi.org/10.1109/78.236507
  11. I. Ziskind and M. Wax, "Maximum likelihood localization of multiple sources by alternating projection," IEEE Trans. Acouts., Speech, Signal Processing, vol. 36, no. 10, pp. 1553-1560, 1988. https://doi.org/10.1109/29.7543
  12. W. S. Ra, I. H. Whang, and J. B. Park, "Non-conservative robust Kalman filtering using a noisy measurement matrix," IET Control Theory and Appl., vol. 3, no. 9, pp. 1226-1236, 2009. https://doi.org/10.1049/iet-cta.2008.0224
  13. M. Wax and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. Acouts., Speech, Signal Processing, vol. 33, no. 2, pp. 387-392, 1985. https://doi.org/10.1109/TASSP.1985.1164557
  14. C. W. Therrien, Discrete Random Signals and Statistical Signal Processing, Prentice Hall, vol. 33, 1992.
  15. K. M. Wong, Q.-T. Zhang, J. P. Reilly, and P. C. Yip, "On information theoretic criteria for determining the number of signals in high resolution array processing," IEEE Trans. Acouts., Speech, Signal Processing, vol. 38, no. 11, pp. 1959-1971, 1990. https://doi.org/10.1109/29.103097