New Data Reuse Adaptive Filters with Noise Constraint

We present a new framework of the data-reusing (DR)
adaptive algorithms by incorporating a constraint on noise, referred
to as a noise constraint. The motivation behind this work is that the
use of the statistical knowledge of the channel noise can contribute
toward improving the convergence performance of an adaptive filter
in identifying a noisy linear finite impulse response (FIR) channel.
By incorporating the noise constraint into the cost function of the
DR adaptive algorithms, the noise constrained DR (NC-DR) adaptive
algorithms are derived. Experimental results clearly indicate their
superior performance over the conventional DR ones.

Authors:



References:
[1] A. H. Sayed, Fundamentals of Adaptive Filtering, New York: Wiley,
2003.
[2] B. A. Schnaufer and W. K. Jenkins, “New data-reusing LMS algorithms
for improved covergence,” in Proc. Asilomar Conf., Pacific Groves, CA,
pp. 1584–1588, May 1993,
[3] R. A. Soni, K. A. Gallivan and W. K. Jenkins, “Convergence properties
of affine projection and normalized data reusing methods,,” in Proc.
Asilomar Conf., vol. 2, pp. 1166–1170, Nov. 1998,
[4] 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.
[5] H.-C. Shin and A. H. Sayed, “Mean-square performance of a family of
affine projection algorithms,” IEEE Trans. Signal Process., vol. 12, no.
1, pp. 90–102, Jan. 2004.
[6] Y. Wei, S. B. Gelfand and J. V. Krogmeier, “Noise-constrained least
mean squares algorithm,” IEEE Trans. Signal Process., vol. 49, no. 9,
pp. 1961–1970, Sep. 2001.
[7] A. Zerguine, M. Moinuddin and S. A. A. Imam, “A noise constrained
least mean fourth adaptive algorithm,” Signal Process., vol. 91, no. 1,
pp. 136–149, Jan. 2011.
[8] H.-C. Shin, W.-J. Song and A. H. Sayed, “Mean-square performance of
data-reusing adaptive algorithms,” IEEE Trans. Signal Process., vol. 12,
no. 12, pp. 851–854, Dec. 2005.
[9] M. Dufflo, Random Iteratie Models, Springer-Verlag, Berlin, Germany,
1997.
[10] K.-Y. Hwang and W.-J. Song, “An affine projection adaptive filtering
algorithm with selective regressors,” IEEE Trans. Circuits Syst. II,
vol. 54, no. 1, pp. 43–46, Jan. 2007.
[11] S.-E. Kim, Y.-S. Choi, M.-K. Song and W.-J. Song, “A subband adaptive
filtering algorithm employing dynamic selection of subband filters,”
IEEE Trans. Signal Process., vol. 17, no. 3, pp. 245–248, Mar. 2010.