The Community for Technology Leaders
Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
ISSN: 1058-6393
ISBN: 0-8186-6405-3
pp: 627-631
J.C.M. Bermudez , Dept. of Electr. Eng., Fed. Univ. of Santa Catarina, Florianopolis, Brazil
N.J. Bershad , Dept. of Electr. Eng., Fed. Univ. of Santa Catarina, Florianopolis, Brazil
ABSTRACT
This paper extends conditional moment techniques previously developed for the study of nonlinear versions of the LMS algorithm to the study of the effects of quantizers in the finite precision case. Deterministic nonlinear recursions are derived for the mean and second moment matrix of the weight vector about the Wiener weight for white Gaussian data models and small algorithm step sizes /spl mu/. These recursions are solved numerically and shown to be in very close agreement with Monte Carlo simulations. Simulation examples are presented which demonstrate the accuracy of the theory in predicting the transient behavior and cancellation performance in steady-state for the quantized LMS algorithm.<>
INDEX TERMS
least mean squares methods, quantisation (signal), data structures, convergence of numerical methods, method of moments, matrix algebra, transient analysis, adaptive signal processing, white noise, Gaussian noise
CITATION

J. Bermudez and N. Bershad, "Nonlinear quantization effects an the LMS algorithm-analytical models for the MSE transient and convergence behavior," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 627-631.
doi:10.1109/ACSSC.1994.471528
88 ms
(Ver 3.3 (11022016))