English

Robust blind methods using $\ell_p$ quasi norms

Information Theory 2013-03-13 v1 math.IT

Abstract

It was shown in a previous work that some blind methods can be made robust to channel order overmodeling by using the 1\ell_1 or p\ell_p quasi-norms. However, no theoretical argument has been provided to support this statement. In this work, we study the robustness of subspace blind based methods using 1\ell_1 or p\ell_p quasi-norms. For the 1\ell_1 norm, we provide the sufficient and necessary condition that the channel should satisfy in order to ensure its identifiability in the noise-less case. We then study its frequency of occurrence, and deduce the effect of channel parameters on the robustness of blind subspace methods using 1\ell_1 norms.

Cite

@article{arxiv.1303.2725,
  title  = {Robust blind methods using $\ell_p$ quasi norms},
  author = {Abla Kammoun},
  journal= {arXiv preprint arXiv:1303.2725},
  year   = {2013}
}
R2 v1 2026-06-21T23:40:24.779Z