{
  "annotation_id": "a5285779-ac06-489c-a20d-64e14327fbf9",
  "date_created": "2026-03-02T18:00:42.944000Z",
  "date_modified": "2026-03-02T18:00:42.944000Z",
  "file_hash": "6b9a2bbd99e6d2f1b96d8f18638d34478f47cef8a60f59e156b48a6db113eac6",
  "private": false,
  "record": {
    "abstract": "The statistical properties of nonlinear phase noise, often called the\nGordon-Mollenauer effect, is studied analytically when the number of fiber\nspans is very large. The joint characteristic functions of the nonlinear phase\nnoise with electric field, received intensity, and the phase of amplifier noise\nare all derived analytically. Based on the joint characteristic function of\nnonlinear phase noise with the phase of amplifier noise, the error probability\nof signal having nonlinear phase noise is calculated using the Fourier series\nexpansion of the probability density function. The error probability is\nincreased due to the dependence between nonlinear phase noise and the phase of\namplifier noise. When the received intensity is used to compensate the\nnonlinear phase noise, the optimal linear and nonlinear minimum mean-square\nerror compensators are derived analytically using the joint characteristic\nfunction of nonlinear phase noise and received intensity. Using the joint\nprobability density of received amplitude and phase, the optimal maximum a\nposteriori probability detector is derived analytically. The nonlinear\ncompensator always performs better than linear compensator.",
    "arxiv_id": "physics/0303090",
    "authors": [
      "Keang-Po Ho"
    ],
    "categories": [
      "physics.optics"
    ],
    "title": "Statistical Properties of Nonlinear Phase Noise",
    "url": "https://arxiv.org/abs/physics/0303090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c20e6f5-7dfc-4d69-976b-d83282951d47",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}