{
  "annotation_id": "0cba1182-333b-4c49-8093-548188bfbcfc",
  "date_created": "2026-03-02T18:01:35.551000Z",
  "date_modified": "2026-03-02T18:01:35.551000Z",
  "file_hash": "92b45dbdc4b110e55533e0d39a4018a6ca674ba06d46cc0977bbae4c012b8683",
  "private": false,
  "record": {
    "abstract": "In this paper phase of a signal has been viewed from a different angle.\nAccording to this view a signal can have countably infinitely many phases, one\nassociated with each Fourier component. In other words each frequency has a\nphase associated with it. It has been shown that if two signals are phase\nsynchronous then the difference between phases at a given component changes\nvery slowly across the subsequent components. This leads to an FFT based phase\nsynchronization measuring algorithm between any two signals. The algorithm does\nnot take any more time than the FFT itself. Mathematical motivations as well as\nsome results of implementation of the algorithm on artificially generated\nsignals and real EEG signals have been presented.",
    "arxiv_id": "q-bio/0612004",
    "authors": [
      "Kaushik Majumdar"
    ],
    "categories": [
      "q-bio.NC",
      "q-bio.QM"
    ],
    "title": "An FFT based measure of phase synchronization",
    "url": "https://arxiv.org/abs/q-bio/0612004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3745d49b-f1d2-4dd6-a989-8083c702cd45",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}