{
  "id": "1112.5262",
  "version": "v2",
  "published": "2011-12-22T10:25:02.000Z",
  "updated": "2012-07-18T12:27:28.000Z",
  "title": "Nonstationary Gabor Frames - Existence and Construction",
  "authors": [
    "Monika Dörfler",
    "Ewa Matusiak"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "Nonstationary Gabor frames were recently introduced in adaptive signal analysis. They represent a natural generalization of classical Gabor frames by allowing for adaptivity of windows and lattice in either time or frequency. In this paper we show a general existence result for this family of frames. We then give a perturbation result for nonstationary Gabor frames and construct nonstationary Gabor frames with non-compactly supported windows from a related painless nonorthogonal expansion. Finally, the theoretical results are illustrated by two examples of practical relevance.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-18T12:27:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "construction",
      "construct nonstationary gabor frames",
      "general existence result",
      "adaptive signal analysis",
      "natural generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5262D"
    }
  }
}