Combination Scheme of Affine Projection Algorithm Filters with Complementary Order

This paper proposes a complementary combination scheme of affine projection algorithm (APA) filters with different order of input regressors. A convex combination provides an interesting way to keep the advantage of APA having different order of input regressors. Consequently, a novel APA which has the rapid convergence and the reduced steady-state error is derived. Experimental results show the good properties of the proposed algorithm.


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References:
[1] S. Haykin, Adaptive Filter Theory, 4th edition, Upper Saddle River, NJ: Prentice Hall, 2002.
[2] K. Ozeki and T. Umeda, "An adaptive filtering algorithm using an orthogonal projection to an affine subspace and its properties," Electro. Commun. Jpn., vol. 67-A, no. 5, pp. 19-27, 1984.
[3] H.-C. Shin and A. H. Sayed, "Mean-square performance of a family of affine projection algorithms," IEEE Trans. Signal Processing, vol. 52, pp. 90-102, Jan. 2004.
[4] K.-Y. Hwang, W.-J. Song, "An affine projection adaptive filtering algorithm with selective regressors," IEEE Trans. Circuits and Syst. II., vol. 54, pp. 43-46, Jan.. 2007.
[5] S. Werner, P. S. R. Diniz, and J. E. W. Moreira, "Set-membership affine projection algorithm with variable data-reuse factor," in Proc. 2006 IEEE Int. Wymp. Circuits and Systems, pp. 261-264, May 2006.
[6] J. Arenas-García, V. Gómez-Verdejo, and A. R. Figueiras-Vidal, "New algorithms for improved adaptive convex combination of LMS transversal filters," IEEE Trans. Instrum. Meas., vol. 54, pp. 2239-2249, Dec. 2005.
[7] J. Arenas-García, A. R. Figueiras-Vidal, and A. H. Sayed, "Steady-state performance of convex combinations of adaptive filters," in Proc. ICASSP, Philadelphia, PA, May 2005.