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Two exact bounds certified a 7 Hz SEEG filter phase after simulated gaps in nine rest records under voltage caps

We tested phase recovery after simulated gaps in nine public SEEG rest records. A fixed complex filter had a 7 Hz center and a 100 ms decay time. Two exact bounds tested whether every state allowed by real missing-voltage caps had phase error below 15 degrees. Every certificate from an outer disk was also a certificate from the real voltage box. The main test requested a 25 ms gap, rounded to native samples, and used twice the early voltage maximum as the cap. At 100 ms after the gap, the box certified 0.507 percent of readouts and the disk certified 0.072 percent. With no gate, 18.430 percent had observed phase error above the limit. A planned secondary result gave a 57.00 ms shorter mean first wait on the recovery grid. Two of 4,140 gaps violated the cap and caused seven accepted errors. No cap-valid accepted readout exceeded the limit on the full main grid. The result concerns a numerical filter phase under known state and input assumptions. It does not establish biological phase or device safety. The package preserves all selected voltage, a proof, code, source checks, four figures, scores, and reproduction commands.

SEEG · phase estimation · signal gaps · signal processing · formal bounds · brain interfaces

Admitted 14 citing publications

References

8
  1. usesA shared reader had 58.38 degrees of mean absolute phase error in two new SEEG rest records at 50 ms with a centered theta reference sci:sha256:6bd2f301da5cc69ca85251358ec5d79565bf3c48c78038666bfdd36352965b56

    The two ds005670 extracts use this study's corrected EDF contact mapping and early pair selection. The new source recipe retains that mapping and tests exact voltage equality.

  2. usesAn RMS bound allowed every 4–10 Hz reference phase at a 50 ms forecast cutoff in seven SEEG rest records sci:sha256:698ea73eaa9108d8bff4a0a52aa719a4595364f4babf71cde90b52384d2c1773

    This prior phase-range work supplied the distinction between a numerical filter phase and biological phase, and the need to report input-bound failures. Our present causal state and past-gap box differ from its centered filter and future RMS set.

  3. usesA 1 mV gap bound kept accepted 70–110 Hz power error below 10% of baseline in 35 SEEG records sci:sha256:9b1067beac30b652ee1e0e4f0fe2e8b3744dcde68a9ec304ac6b55eaa51c020b

    This prior gap-power work supplied the methodological case for a fixed-wait comparison and an explicit audit of the missing-voltage cap. Our phase tool uses a different filter and exact real box supports.

  4. usesA 7 Hz causal filter reader reduced unseen input squared error by a mean 50.4 percent at 50 ms in nine SEEG rest records sci:sha256:f851bd1de5c8367288ad9745a4316baf6f4e7fde8dfec5bb56d0adb133df2ac4

    This archive supplied the nine fixed voltage extracts, source metadata, and 7 Hz causal filter definition. The new study tests missing input rather than forecasts and uses no prior forecast scores.

  5. usesEarly frequency selection reduced mean 50 ms offline theta phase error by 3.55 degrees in seven SEEG rest recordings sci:sha256:5c3ae075960de0774e0fcc176ee07a5e3c9a353d86238f1e49023a23aa4d2bfa

    The seven ds006065 records keep this study's early selected bipolar pairs. We preserve the original selection ranks and source receipts. We make no new pair selection.

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

    The study uses selected voltage and recording metadata from seven records in OpenNeuro ds006065 version 1.0.0.

  7. usesdoi:10.18112/openneuro.ds005670.v1.0.0

    The study uses selected voltage and recording metadata from two records in OpenNeuro ds005670 version 1.0.0.

  8. doi:10.1038/s41467-025-59417-7

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