The week's pick
Reseach Article
Performance Analysis of an Affine Combination of Two LMS Adaptive Filters
| International Conference in Computational Intelligence |
| Foundation of Computer Science USA |
| ICCIA - Number 5 |
| March 2012 |
| Authors: Abdullah M.K., F.I.Shaikh, A.I.Tamboli |
| d7052bc4-e423-49e2-9993-3cd19a54bfd6 |
Abdullah M.K., F.I.Shaikh, A.I.Tamboli . Performance Analysis of an Affine Combination of Two LMS Adaptive Filters. International Conference in Computational Intelligence. ICCIA, 5 (March 2012), 16-20.
Abstract
This paper studies the statistical behavior of an affine combination of the outputs of two least mean-square (LMS) adaptive filters that simultaneously adapt using the same white Gaussian inputs. The purpose to combine two filters is to obtain a new LMS adaptive filter with fast convergence and small steady-state mean-square deviation (MSD).The linear combination studied is generalization of convex combination in which combination factor ?(n) is restricted to the interval (0,1).Each of the two filters produces dependent estimates of unknown channel. Thus there exists a sequence of optimal affine combining coefficients which minimizes the mean-square error (MSE) and gives good steady state response. First optimal unrealizable affine combiner is studied. Then two schemes proposed to find out the optimal mixing parameter to get optimized sequence ?(n) are stochastic gradient approach and error power based scheme. The mean square performances are analyzed and validated by MATLAB7.
References
- J. Arenas-Garcia, A. R. Figueiras-Vidal, and A. H. Sayed,âMean-square performance of a convex combination of two adaptive filters,â IEEE Trans. Signal Process., vol. 54, no. 3, pp. 1078â1090, Mar.2006.
- S. Haykin, Adaptive Filter Theory, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1991.
- A.H.Sayed, Fundamentals of Adaptive Filtering. New York: Wiley Interscience,2003.
- N.J.Bershard and A.Bist,âFast coupled adaptation for sparse impulse responses using partial Haar transform,â IEEETrans. Signal Process., vol.53,no.3,pp966-976,Mar 2005.
- D. G. Manolakis, V. K. Inglr, and S. M.Kogon, Statistical and Adaptive Signal Processing. Boston, MA: McGraw-Hill, 1999.
- R. Candido, M. T. M. Silva, and V. Nascimento, âAffine combinations of adaptive filters,â in Proc. of the Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, U.S.A., Oct. 2008, IEEE.
- A. T. Erdogan, S. S. Kozat, and A. C. Singer, âComparison of convex combination and affine combination of adaptive filters,â in Proc. of the IEEE International Conference on Acoustics, Speech and Signal Processing, Taiwan, Apr. 2009, pp. 3089â3092.
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