{
  "id": "1403.7382",
  "version": "v1",
  "published": "2014-03-28T14:10:30.000Z",
  "updated": "2014-03-28T14:10:30.000Z",
  "title": "A short proof for the characterisation of tight frames",
  "authors": [
    "Gergely Ambrus"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CA",
    "math.MG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-28T14:10:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short proof",
      "characterisation",
      "establish unit-norm tensor resolutions",
      "utilising tensor products",
      "normalised tight frames"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.7382A"
    }
  }
}