Affine Projection Algorithm with Variable Data-Reuse Factor

Authors: ChangWoo Lee, Young Kow Lee, Sung Jun Ban, SungHoo Choi, Sang Woo Kim

Abstract:

This paper suggests a new Affine Projection (AP) algorithm with variable data-reuse factor using the condition number as a decision factor. To reduce computational burden, we adopt a recently reported technique which estimates the condition number of an input data matrix. Several simulations show that the new algorithm has better performance than that of the conventional AP algorithm.

Keywords: Affine projection algorithm, variable data-reuse factor, condition number, convergence rate, misalignment.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082671

References:

[1] K. Ozeki and T. Umeda, " An adaptive filtering algorithm using an orthogonal projection to an affine subspace and its properties," Electron. Commun. Jpn., vol 67-A, no. 5, pp. 19-27, 1984.
[2] Paulo S. R. Diniz, ADAPIVE FILTERING Algorithms and Practical Implemenration 2nd, Kluwer Academic Publishers, 2002.
[3] Stefan Werner, Paulo S. R. Diniz, and Jose E. W. Moreira, "Set-membership affine projection algorithm with variable data-reuse factor", Proc. 2006 IEEE, Intern. Symposium on circuits and systems, Island of Kos, Greece, pp.-, May. 2006.
[4] Jacon Benesty and Tomas Gansler, "A RECURSIVE ESTIMATION OF THE CONDITION NUMBER IN THE RLS ALGORITHM", Acoustics, Speech, and Signal Processing, 2005, ProCeedings. IEEE ICASSP'05, Volume 4, March 2005, pp 18-23.
[5] A. H. Sayed, Fundamentals of Adaptive Filtering, New York: Wiley, 2003.
[6] Hernan G. Ray, Leonardo Rey Vega, Sara Tressens and Bruno Cernuschi Frias, "Analysis of explicit regulariztion in affine projection algorithm: robustness and optimal choice", EUSIPCO 2004, pp. 1809-1812, Sep. 2004.
[7] Hyun- Chool Shin and Ali H. sayed, "Mean-Square Performance of a Familty of Affine Projection Algorithms", Signal Processing, IEEE Trans., Vol 52, No 1, January 2004, pp 90, pp 90-102.
[8] Sundar G. Sankaran and A. A. (LOUİS) beex, "Convergence Behaviour of Affine Projection Algorithms", Signal Processing, IEEE Trans., vol. 48, Issue 4, April 2000, pp 1086-1096.
[9] Dr. Sungar G. Sankaran, "On Ways to Improve Adaptive Filter Performance" Ph. D. Dissertation, 1999.
[10] P. Eneroth, T. Gaensler, J. Benesty, and S. L. Gay, " State of the art of stereophonic acoustic echo cancellation", in Proc. RVK99, Sweden, June 1999.
[11] J. H. Wilkinson, "The algebraic eigenvalue problem", Oxford University Press, 1965.