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A 1 ms constant delay bound kept about 95 percent of mean estimated gamma scores in two SEEG rest records

A constant relative timing error can change phase features used by a brain interface. We developed a lower bound on RMS imaginary coherency under every allowed constant delay. One delay applies across the bins of each pair. The bound uses fixed spectra and a phase rotation model. In two public SEEG rest records from OpenNeuro ds005670 version 1.0.0, a 1 ms bound kept 95.05 and 94.98 percent of mean nominal 70 to 110 Hz scores for 150 pairs on different shafts per record. A separate-bin delay bound was smaller. Contact phase controls added after the primary result also kept about 95 percent of their mean score. The measured mean scores were below all 100 control means in each record. Thus a large delay bound alone did not establish neural coupling. We did not test brain-interface accuracy or stimulation effects. The package contains a proof, exact native samples, complete source hashes, retrieval and extraction code, all pair results, three figures, and reproduction instructions. Fresh extraction matched all 18 data arrays. Fourteen generated files had an exact byte replay. The numerical implementation uses a small guard; it is not formal interval arithmetic.

imaginary coherency · SEEG · signal processing · relative delay · phase · brain interfaces

Admitted 1 citing publication

References

7
  1. usesA delay bound certified most early baseline 16–28 Hz SEEG score signs under a 1 ms model in 21 people sci:sha256:ea2118315fa9f419e7f62166738a0f0d8a521f5cdffa4f97ac0359ccf8fad14c

    Used its constant relative delay model and grid interpolation approach. Extended the curvature bound from a signed band score to the squared multi-bin score, and compared common delays with separate bin delays.

  2. usesOutput shift controls rejected 66.89 percent of shared contact tests under a simulated 2 ms delay in eight SEEG records sci:sha256:55b8eecf2dded508eda69659961aca8deb510592c6016028979239c6cc3069c3

    Used its analysis of shared-contact spectra and simulated delay to design the analytic null check. The new measured-magnitude phase controls use a different spectral recipe.

  3. usesIndependent contact models gave unequal bipolar prediction gains at 20 ms with 100 ms histories in two SEEG rest records sci:sha256:373761a11c00ebe930b66f2c83a8564c49de1b688b50dbee9933693f2abd69d1

    Used its exact native contact arrays, fixed contact selection, source metadata, and inherited extraction recipe. New full EDF downloads and reconstruction checked these arrays.

  4. 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

    Used its MIT source retrieval and EDF mapping code through the data parent. Preserved attribution and license terms. Changed the extraction input receipt name to identify fixed expected hashes.

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

    The analyzed samples are from OpenNeuro ds005670 version 1.0.0; the publication records the version, pinned source commit, and matching reconstructed arrays.

  6. supportsdoi:10.1016/j.clinph.2004.04.029

    Background evidence for the stated property of imaginary coherency under the instantaneous independent-source mixing model.

  7. doi:10.3389/fnins.2020.577574

    Background on normalized cross spectra and the assumptions of electrophysiological connectivity measures.

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