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L2-Stability Analysis of The Set-Membership Affine Projection Algorithm

Signal Processing 2020-05-21 v1 Functional Analysis

Abstract

In this letter, we study the local and the global robustness of the set-membership affine projection (SM-AP) algorithm. We demonstrate that the SM-AP algorithm has l2-stability. In fact, the SM-AP algorithm never diverges; no matter how the parameters of the SM-AP algorithm has been adopted. Finally, the simulation results substantiate the validity of the proposed analysis.

Cite

@article{arxiv.2005.10124,
  title  = {L2-Stability Analysis of The Set-Membership Affine Projection Algorithm},
  author = {Rajab Shabaani},
  journal= {arXiv preprint arXiv:2005.10124},
  year   = {2020}
}

Comments

16 pages, in Persian

R2 v1 2026-06-23T15:41:25.770Z