Convergence analysis of LMS and NLMS adaptive algorithms

T Hsia

doi:10.1109/icassp.1983.1172047

Convergence analysis of LMS and NLMS adaptive algorithms

T Hsia

https://doi.org/10.1109/icassp.1983.1172047

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Publication Date: Apr 14, 1983

Citations: 35

Affiliation: University of California, Davis

#NLMS Adaptive Algorithms #LMS Adaptive Algorithms + Show 8 more

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Abstract

The main contribution of this paper is the unified treatment of convergence analysis for both LMS and NLMS adaptive algorithms. The following new results are obtained: (i) necessary and sufficient conditions of convergence, (ii) optimal adjustment gains and optimal convergence rates, (iii) interrelationship between LMS and NLMS gains, and (iv) non-stationary algorithm design.

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