English

A short proof for the characterisation of tight frames

Classical Analysis and ODEs 2014-03-31 v1 Metric Geometry

Abstract

With the aid of utilising tensor products, we give a simplified proof to the fundamental theorem of Benedetto and Fickus about the existence and characterisation of finite, normalised tight frames. We also establish unit-norm tensor resolutions for symmetric, positive semi-definite matrices.

Keywords

Cite

@article{arxiv.1403.7382,
  title  = {A short proof for the characterisation of tight frames},
  author = {Gergely Ambrus},
  journal= {arXiv preprint arXiv:1403.7382},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-22T03:37:14.890Z