The Journal of the Acoustical Society of Korea (한국음향학회지)

The Acoustical Society of Korea (한국음향학회)
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Orthonormalized Forward Backward PAST (Projection Approximation Subspace Tracking) Algorithm

직교설 전후방 PAST (Projection Approximation Subspace Tracking) 알고리즘

  • Published : 2009.08.31
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Abstract

The projection approximation subspace tracking (PAST) is one of the attractive subspace tracking algorithms, because it estimates the signal subspace adaptively and continuously. Furthermore, the computational complexity is relatively low. However, the algorithm still has room for improvement in the subspace estimation accuracy. FE-PAST (Forward-Backward PAST) is one of the results from the improvement studies. In this paper, we propose a new algorithm to improve the orthogonality of the FB-PAST (Forward-Backward PAST).

PAST (projection approximation subspace tracking)는 여러 연구자들에 의해 비교 연구가 되는 대표적인 신호 부공간을 추정하는 알고리즘이다. 이 방법은 신호 부공간 추정에 있어 상대적으로 낮은 계산 복잡도를 요구하기 때문에 인기가 있는 방법이 되었다. 그러나 이 방법은 개선의 여지가 많아서 추정 정확도나 공간의 직교성 등에서 계속 개선된 알고리즘이 연구되고 있다. 본 논문은 기존에 연구된 PAST 알고리즘의 추정 정확도 개선을 위해 연구된 알고리즘 중 하나인 FB-PAST(Forward-Backward PAST) 알고리즘에 사용할 직교성 알고리즘을 제안한다.

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References

  1. Bin Yang, "Projection approximation subspace tracking," IEEE Trans. Signal Proc., vol. 43, no. 1, pp. 95-107, 1995 https://doi.org/10.1109/78.365290
  2. Jung-Lang Yu, "A novel subspace tracking using correlation-based projection approximation", Signal Procerssing, vol. 80. no. 12, pp. 2517-2525, 2000 https://doi.org/10.1016/S0165-1684(00)00138-9
  3. K. Abed-Meraim, A. Chkeif and Y. Hua, "Fast orthonormal PAST algorithm", IEEE Signal Proc. Letters, vol. 7, no. 3, pp. 60-62, 2000 https://doi.org/10.1109/97.823526
  4. Jun-Seok Lim, “Forward backward PAST (Projection Approxi-mation Subspace Tracking) algorithm for the better sub-space estimation accuracy,” J. Acoust. Soc. Kor., vol. 27, no. 1E, pp. 25-29, 2008
  5. R. Badeau, K. Abed-Meraim, G. Richard, and B. David, "Sliding window orthonormal PAST algorithm," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., pp. 261-264, Apr. 2003
  6. P. Stoica and R. L. Moses, Spectral Analysis of Signals, Prentice Hall, Upper Saddle River, N.J., 2005
  7. Srinath Hosur, Ahmed H. Tewfik, and Daniel Boley, "ULV, and generalized ULV subspace tracking adaptive algorithms", IEEE Trans. Signal Proc., vol. 46. no. 5, pp. 1282-1297, 1996 https://doi.org/10.1109/78.668792