{
  "annotation_id": "e4e096e9-3e3d-4ec9-8d25-c93126dfc738",
  "date_created": "2026-02-17T05:53:24.062000Z",
  "date_modified": "2026-02-17T05:53:24.062000Z",
  "file_hash": "867a32262e46511c3af7d1e7038306f132c5d23eaa0a9b9ff4402b979cd357c2",
  "private": false,
  "record": {
    "abstract": "We introduce the one-cold Poisson channel (OCPC), where the transmitter chooses one of several frequency bands to attenuate at a time. In particular, the perfect OCPC, where the number of bands is unlimited, is an extremely simple continuous-time memoryless channel. It has a capacity 1, zero channel dispersion, and an information spectrum being the degenerate distribution at 1. It is the only known nontrivial (discrete or continuous-time) memoryless channel with a closed-form formula for its optimal non-asymptotic error probability, making it the simplest channel in this sense. A potential application is optical communication with a tunable band rejection filter. Due to its simplicity, we may use it as a basic currency of information that is infinitely divisible, as an alternative to bits which are not infinitely divisible. OCPC with perfect feedback gives a generalization of prefix codes. We also study non-asymptotic coding and channel simulation results for the general OCPC.",
    "arxiv_id": "2601.09894",
    "authors": [
      "Cheuk Ting Li"
    ],
    "categories": [
      "cs.IT",
      "eess.SP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "One-Cold Poisson Channel: A Simple Continuous-Time Channel with Zero Dispersion",
    "url": "https://arxiv.org/abs/2601.09894",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27d85a90-344e-45da-868c-5100ef18a163",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}