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Paper Count: 30576
Variable Regularization Parameter Normalized Least Mean Square Adaptive Filter
Authors: Young-Seok Choi
Abstract:We present a normalized LMS (NLMS) algorithm with robust regularization. Unlike conventional NLMS with the fixed regularization parameter, the proposed approach dynamically updates the regularization parameter. By exploiting a gradient descent direction, we derive a computationally efficient and robust update scheme for the regularization parameter. In simulation, we demonstrate the proposed algorithm outperforms conventional NLMS algorithms in terms of convergence rate and misadjustment error.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1112017Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 994
 S. Haykin, Adaptive Filter Theory, Englewood Cliffs, NJ: Prentice Hall, 2002.
 A. H. Sayed, Fundamentals of Adaptive Filtering, Englewood Cliffs, NJ: Prentice Hall, 2003.
 A. Benveniste, M. Metivier and P. Priouret, Adapive Algorithms and Stochstic Approximation, New York: Springer-Verlag, 1990
 J. Homer, “Detection guided NLMS estimation of sparsely parametrized channels,” IEEE Trans. Circuits Syst. II, vol. 47, No. 12, pp. 1437–1442, Dec. 2000.
 S. J. Park, C. G. Cho, C. Lee and D. H. Youn, “Integrated echo and noise canceler for hands-free applications,” IEEE Trans. Circuits Syst. II, vol. 49, No. 3, pp. 188–195, March 2002.
 D. P. Mandic, “A generalized normalized gradient descent algorithm,” IEEE Signal Processing Lett., vol. 11, No. 3, pp. 115–118, Feb. 2004.
 A. I. Hanna, I. Yates and D. P. Mandic, “Analysis of the class of complex-valued error adaptive normalized nonlinear gradient descent algorithms,” in Proc. IEEE Int. Conf. on Accoustics, Speech, and Signal Processing, ICASSP’03, Hong Kong, Apr. 2003, pp. II-705–708.
 V. Myllyl¨a and G. Schmidt, “Pseudo-optimal regulariztion for affine projection algorithms,” in Proc. IEEE Int. Conf. on Accoustics, Speech, and Signal Processing, ICASSP’02, Orlando, Florida, May 2002, pp. 1917–1920.