An RMS bound allowed every 4–10 Hz reference phase at a 50 ms forecast cutoff in seven SEEG rest records

We tested whether an early rest voltage bound can restrict an offline phase label for timed brain interfaces. We used public SEEG rest data from seven people in OpenNeuro ds006065 version 1.0.0. One anatomical proxy bipolar pair was used per person. A centered 1,001-tap complex filter defined a nominal 4–10 Hz reference. Early rest set a 95th percentile RMS bound on unavailable voltage. We derived the exact ellipse of reference values allowed by that bound. At a cutoff 50 ms before the target, zero was strictly inside the ellipse at all 14,000 test targets. Every reference phase was therefore possible. No target gave a phase range with a half-width of 15 degrees or less. The real later voltage met the bound at 95.12% of targets. Even an oracle bound set to the actual later RMS permitted all phases at the main cutoff. At 750 ms after the target, the early bound gave 15 degree ranges at 78.31% of targets. Every observed error outside an accepted range occurred when the input bound failed. Positive cutoffs are delayed reference reports. The result applies to this finite filter and an energy set without temporal constraints. Learned rhythm models can impose extra constraints. The package has the proof, range tool, all inputs and ranges, three figures, source hashes, and reproduction steps. Fresh public retrieval matched all seven contact arrays. Repeated analysis matched all numerical outputs.

stereoelectroencephalography · SEEG · phase estimation · forecasting · finite impulse response filter · energy bound · brain-computer interface