English

L2-Stability Analysis of the SM-NLMS Algorithm

Signal Processing 2020-01-14 v1

Abstract

In this letter, we analyze, two properties, the local and the global robustness of the set-membership normalized least mean square (SM-NLMS) algorithm. We will show that the SM-NLMS algorithm has l2-stability. Indeed, the SM-NLMS algorithm never diverges; no matter how the parameters of the SM-NLMS algorithm has been selected. Ultimately, the numerical simulations corroborate the validity of our analysis.

Cite

@article{arxiv.2001.03616,
  title  = {L2-Stability Analysis of the SM-NLMS Algorithm},
  author = {Rajab Shabaani},
  journal= {arXiv preprint arXiv:2001.03616},
  year   = {2020}
}

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in Persian language

R2 v1 2026-06-23T13:08:20.395Z