English

On the Compressed Measurements over Finite Fields: Sparse or Dense Sampling

Information Theory 2012-11-26 v1 math.IT

Abstract

We consider compressed sampling over finite fields and investigate the number of compressed measurements needed for successful L0 recovery. Our results are obtained while the sparseness of the sensing matrices as well as the size of the finite fields are varied. One of interesting conclusions includes that unless the signal is "ultra" sparse, the sensing matrices do not have to be dense.

Keywords

Cite

@article{arxiv.1211.5207,
  title  = {On the Compressed Measurements over Finite Fields: Sparse or Dense Sampling},
  author = {Jin-Taek Seong and Heung-No Lee},
  journal= {arXiv preprint arXiv:1211.5207},
  year   = {2012}
}

Comments

10 pages, 2 figures, other essential info

R2 v1 2026-06-21T22:42:32.778Z