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Subband Affine Projection Algorithm Using Variable Step Size

가변 스텝사이즈를 이용한 부밴드 인접투사 알고리즘

  • 최훈 (한국표준과학연구원) ;
  • 배현덕 (충북대학교 전기전자컴퓨터공학부)
  • Published : 2007.02.28

Abstract

In signal processing applications with highly correlated input signals, subband affine projection algorithm and step size controlling is a good solution for improving the slow convergence rate and large computational complexity of LMS-type algorithms. This paper proposes a subband affine projection algorithm using a variable step size. The proposed method achieves fast convergence rate and small steady-state error with a small computational complexity by combining the SAP and step size controlling in a subband structure. Experimental results on highly correlated input signal show that the proposed method is superior to the conventional methods.

입력신호의 상관도가 높은 신호처리 응용에서 부밴드 인접투사(Subband Affine Projection: SAP) 알고리즘과 스텝사이즈 조정은 LMS형(Least Mean Square-type) 알고리즘이 갖는 느린 수렴속도와 큰 정상상태오차를 개선할 수 있는 좋은 해결책이다. 본 논문은 가변 스텝사이즈를 사용하는 부밴드 인접투사 알고리즘을 제안한다. 제안한 방법은 부밴드 구조의 인접투사 알고리즘과 스텝사이즈 조정을 결합함으로써 적은 계산량으로 빠른 수렴속도와 작은 정상상태오차를 얻을 수 있다. 높은 상관도를 갖는 입력신호에 대한 실험을 통해 제안한 방법이 기존 방법에 비해 우수함을 보인다.

Keywords

References

  1. A. Sayed, Fundamental of Adaptive Filtering, (John Wiley & Sons, 2003)
  2. K. Ozeki and T. Umeda, 'An Adaptive Filtering Algorithm using an Orthogonal Projection to an Affine Subspace and Its Properties' Electron. Comm. Jap., 67-A (5) 19-27, 1984
  3. S. G. Sankaran and A. A. Beex, 'Convergence behavior of the affine projection algorithm,' IEEE Trans. Signal Proc., 48 (4), 1086-1097, Apr. 2000
  4. H. C. Shi n and A. H. Sayed, 'Mean-square performance of a family of affine projection algorithms'' IEEE Trans. Signal Proc., 52 (1), 90-102, Jan. 2004
  5. S. S. Pradhan and V. U. Reddy, 'A new approach to subband adaptive filtering', IEEE Trans. Signal Proc., 45 (3), 655-664, Mar. 1999
  6. S. Miyagi and H. Sakai, 'Convergence analysis of alias-free subband adaptive filters based on a frequency domain technique', IEEE Trans. Signal Proc., 52 (1), 79-89, Jan. 2004
  7. 최훈, 배현덕, '부밴드 인접투사 알고리즘', 한국음향학회지. 23 (3), 221-227, 2004년
  8. Hun Choi, Sung-Hwan Han, and Hyeon-Deok Bae, 'Subband adaptive filtering with maximal decimation using an affine projection algorithm,' IEICE Tran. on Comm., 89-B (5) 1-9, May 2006
  9. R. H. Kwong and E. W. Johnstone, 'A variable step size LMS algorithm', IEEE Trans. Signal Proc., 40 (7), 1633-1642, Jul. 1992
  10. T. Aboulnasr and K. Mayyas, 'A robust variable step-size LMS-type algoruthm: Analysis and simulation', IEEE Trans. Signal Proc., 45 (3), 631-639, Mar. 1997
  11. H. C. Shin and A. H. Sayed, 'Variable step-size NLMS and affine projection algorithm', IEEE Signal Proc. Lett., 11 (2), 132-135, Feb. 2004
  12. T. K. Moon and W. C. Stirling, Mathematical methods and algorithms, (Englewood Cliffs, NJ: Prentice-Hall, 2000)
  13. P. P. Vaidyanathan, Multirate Systems and Filter Banks, (Englewood Cliffs, NJ: Prentice-Hall, 1993)
  14. M. Bouchard, 'Multichannel affine and fast affine projection algorithms for active noise control and acoustic equalization systems,' IEEE Trans. Speech and Audio Proc., 11 (1), 54-60, Jan. 2003