English

A note on Gabor frames in finite dimensions

Rings and Algebras 2020-05-04 v1

Abstract

The purpose of this note is to present a proof of the existence of Gabor frames in general linear position in all finite dimensions. The tools developed in this note are also helpful towards an explicit construction of such a frame, which is carried out in the last section. This result has applications in signal recovery through erasure channels, operator identification, and time-frequency analysis.

Keywords

Cite

@article{arxiv.1304.7709,
  title  = {A note on Gabor frames in finite dimensions},
  author = {Romanos-Diogenes Malikiosis},
  journal= {arXiv preprint arXiv:1304.7709},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-22T00:08:12.586Z