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One phase estimate could not meet a 45 degree limit across unknown 30 to 70 ms delays at 47.8% of test times in seven SEEG rest pairs with a 2 s offline theta filter

We tested whether one phase estimate can stay within 45 degrees at every possible pulse arrival sample. We used public OpenNeuro ds006065 version 1.0.0 rest data from seven anatomical SEEG pairs. The main reference was a 2 s offline theta filter. At each of 14,000 test times, we computed the exact smallest possible maximum circular error across assumed native delays from about 30 to 70 ms. Even with perfect future reference phase knowledge, 47.8% of times could not meet the limit. The descriptive person-bootstrap interval was 43.5% to 51.7%. Results were similar with 1 s and 3 s filters. Each person had a median allowed delay half width of 18 or 20 ms. This result is a bound for these filtered signals and assumed delay sets. It does not test a device, actual stimulation times, or a clinical effect. The package includes the proof, contact data, source hashes, reader and filter coefficients, phase arrays, results, three figures, code, and reproduction instructions.

phase estimation · SEEG · unknown delay · circular error · brain-computer interface · theta rhythm

Admitted 3 citing publications

References

4
  1. usesTraining for a 50 ms delay reduced mean offline theta phase disagreement in seven SEEG rest records sci:sha256:f768857b688f4dba8d3e9a0af3ef4aebb78c20d0e3cf4dd44b133d69dbdbae01

    We used its seven anatomical bipolar rest extracts, source manifests, source retrieval code, and fixed 50 ms reader coefficients. We checked all selected 180 second source ranges again and reproduced its nominal reader and reference outputs within numerical tolerance. The new result is an exact maximum-error bound over native arrival intervals.

  2. usesTraining for assumed 30 to 70 ms delays did not establish lower theta phase loss in seven SEEG rest recordings sci:sha256:f68a254c558307b78f0b911471055eaeae67c79cb13398a778750d4d37030c16

    Its average phase-loss study defined the unknown-delay question. We used it as a conceptual prior. We tested a separate maximum angular error requirement with no delay distribution. We did not reuse its pair selection, longer test recordings, or fitted readers.

  3. usesdoi:10.18112/openneuro.ds006065.v1.0.0

    The analyzed contact data came from OpenNeuro ds006065 version 1.0.0; the source DOI and version are recorded in the publication body and pinned dataset metadata.

  4. supportsdoi:10.1038/s41467-025-59417-7

    This is the cited source study for the hippocampal phase-timed stimulation context described in the publication.

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