{
  "id": "1707.09634",
  "version": "v1",
  "published": "2017-07-30T15:41:38.000Z",
  "updated": "2017-07-30T15:41:38.000Z",
  "title": "Relevant sampling of the short-time Fourier transform of time-frequency localized functions",
  "authors": [
    "Gino Angelo Velasco"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study the random sampling of the short-time Fourier transform of functions that are localized in a compact region in the time-frequency plane. We follow the approach introduced by Bass and Gr\\\"ochenig for band-limited functions, and show that with a high, controllable probability, a sufficiently dense set of local random samples from the region of concentration in the time-frequency plane yields a sampling inequality for the short-time Fourier transform of time-frequency localized functions on the region.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-30T15:41:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short-time fourier transform",
      "time-frequency localized functions",
      "relevant sampling",
      "local random samples",
      "time-frequency plane yields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}