Browse > Article
http://dx.doi.org/10.7776/ASK.2013.32.6.518

Enhanced Normalized Subband Adaptive Filter with Variable Step Size  

Chung, Ik Joo (강원대학교 IT대학 전기전자공학부)
Abstract
In this paper, we propose a variable step size algorithm to enhance the normalized subband adaptive filter which has been proposed to improve the convergence characteristics of the conventional full band adaptive filter. The well-known Kwong's variable step size algorithm is simple, but shows better performance than that of the fixed step size algorithm. However, in case that large additive noise is present, the performance of Kwong's algorithm is getting deteriorated in proportion to the amount of the additive noise. We devised a variable step size algorithm which does not depend on the amount of additive noise by exploiting a normalized adaptation error which is the error subtracted and normalized by the estimated additive noise. We carried out a performance comparison of the proposed algorithm with other algorithms using a system identification model. It is shown that the proposed algorithm presents good convergence characteristics under both stationary and non-stationary environments.
Keywords
Subband adaptive filter; Normalized subband adaptive filter; Variable step-size;
Citations & Related Records
연도 인용수 순위
  • Reference
1 S. Haykin Adaptive Filter Theory (Prentice Hall, New Jersey, 2002), pp. 320-326.
2 A. H. Sayed, Fundamentals of Adaptive Filtering (Wiley-Interscience, New York, 2003), pp. 225-232.
3 S. Narayan, A. M. Peterson, and M. J. Narasimha, "Transform domain LMS algorithm," IEEE Trans. Acoust. Speech Signal Process. 31, 609-615 (1983).   DOI
4 S. S. Pradhan and V.U. Reddy, "A new approach to subband adaptive filtering," IEEE Trans. Signal Process. 47, 655-664 (1999).   DOI   ScienceOn
5 A. Gilloire and M. Vitterli, "Adaptive filtering in subbands with critical sampling: analysis, experiments, and application to acoustic echo cancellation," IEEE Trans. Signal Process. 40, 1862-1875 (1992).   DOI   ScienceOn
6 L. A. Lee and W. S. Gan, "Improving convergence of the NLMS algorithm using constrained subband updates," IEEE Trans. Signal Process. Lett. 11, 736-739 (2004).   DOI   ScienceOn
7 R. H. Kwong and E. W. Johnston, "A variable step size LMS algorithm," IEEE Trans. Signal Process. 40, 1633-1642 (1992).   DOI   ScienceOn
8 J. Ni and F. Li, "A variable step size matrix normalized subband adaptive filter," IEEE Trans. Audio. Speech Lang. Process. 18, 1290-1299 (2010).   DOI   ScienceOn
9 J. Shin, N. Kong, and P. Park, "Normalized subband adaptive filter with variable step size," Electron. Lett.48, 204-206 (2012).   DOI   ScienceOn
10 J. Benesty, H. Rey, L. R. Vega, and S. Tressens, "A nonparametric VSS NLMS algorithm," IEEE Trans. Signal Process. Lett. 13, 581-584 (2006).   DOI   ScienceOn
11 K. Lee, W. Gan, and S. M. Kuo, Subband Adaptive Filtering:Theory and Implementation (Wiley, West Sussex, 2009), pp. 192-195.