{
  "annotation_id": "923f5ff4-9a09-42df-b759-d639a1d5922d",
  "date_created": "2026-03-02T18:01:21.877000Z",
  "date_modified": "2026-03-02T18:01:21.877000Z",
  "file_hash": "c0594e8f8d03e7864a70c3059c223b79ff6f042475d295bfe499899686d1d976",
  "private": false,
  "record": {
    "abstract": "We approach the theoretical problem of compressing a signal dominated by\nGaussian noise. We present expressions for the compression ratio which can be\nreached, under the light of Shannon\u0027s noiseless coding theorem, for a linearly\nquantized stochastic Gaussian signal (noise). The compression ratio decreases\nlogarithmically with the amplitude of the frequency spectrum $P(f)$ of the\nnoise. Entropy values and compression rates are shown to depend on the shape of\nthis power spectrum, given different normalizations. The cases of white noise\n(w.n.), $f^{n_p}$ power-law noise ---including $1/f$ noise---, (w.n.$+1/f$)\nnoise, and piecewise (w.n.+$1/f |$ w.n.$+1/f^2$) noise are discussed, while\nquantitative behaviours and useful approximations are provided.",
    "arxiv_id": "physics/9809004",
    "authors": [
      "August Romeo",
      "Enrique Gaztanaga",
      "Jose Barriga",
      "Emilio Elizalde"
    ],
    "categories": [
      "physics.data-an",
      "astro-ph"
    ],
    "doi": "10.1142/S0129183199000528",
    "journal_ref": "International Jounal of Modern Physics C, Vol.10, 687-716 (1999)",
    "title": "Information content in Gaussian noise: optimal compression rates",
    "url": "https://arxiv.org/abs/physics/9809004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65bfcede-e3b3-40f5-a6e5-e4b7d014b177",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}