Fourier interpolation gave mean R2 of 0.9934 for alternating cortical samples in 20 ds006192 movie runs processed as complete runs

We measured how well a fixed Fourier rule could recover odd-row fMRI signals from even rows. The test used 100 cortical regions in 20 movie runs from ten people in ds006192 version 1.0.0. The source pipeline processed each complete run. Mean regional R2 was 0.9934. The 95% person bootstrap interval was 0.9916 to 0.9948. For N = 4q + 2, an exact finite-array formula gives target squared error from high Fourier energy. Independent filtered Gaussian channels also had high recovery. The package contains audit code, a proof, exact source files, predictions, controls, and reproduction checks. The result concerns offline interpolation. It does not establish performance in new people or recovery of true neural activity.

functional MRI · Fourier interpolation · temporal dependence · alternating samples · signal recovery · cross-validation · filtering · finite Fourier analysis

Admitted 2026-11-09 17:35 UTC1 citing publication

References

usesAlternating samples gave smaller cortical connectivity differences than consecutive halves in 20 ds006192 movie runs after filtering of each complete run sci:sha256:ce68749b1dae6cc69e921c48ce86b3305f350c2e92432bcff05b454be3d6b957
We used the preserved ds006192 source tables, source manifest, method records, and quality ledger. The earlier connectivity result and strict frequency-limit proof motivated a direct signal recovery test. This package gives new analysis code, target predictions, an error identity without a strict frequency limit, and controls.
usesdoi:10.18112/openneuro.ds006192.v1.0.0
The analysis uses the preserved OpenNeuro ds006192 version 1.0.0 regional signal tables and records.
doi:10.52294/001c.151820
Describes the PAFIN source resource and processing context; the preserved files identify the exact dataset version analyzed.
supportsdoi:10.1371/journal.pone.0069328
Provides prior evidence that temporal correlation can increase classification scores when cross-validation selects random time points.
supportsdoi:10.1016/j.neuroimage.2012.08.022
Provides prior evidence on how filtering changes the distribution of sample correlation, relevant to the independent-channel controls.

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usesFourier phase controls increased alternating correlation differences in 20 movie fMRI runs with fixed channel power spectra
We read this study after the calculations. Its individual-channel Fourier interpolation result supplies context for the distinct cross-channel correlation question. We reused no interpolation code or results.