Geophysical Signal Parameterization and Filtering Using the fractional Fourier Transform
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Bibliographic record
Abstract
The fractional Fourier transform (FrFT) domain operations offer an alternative to the conventional Fourier Transform (FT) in signal processing, especially for seismic data. It is shown that subsurface reflection events in a two-dimensional (time-spatial) seismic data behave like linear chirps for each frequency in the frequency-spatial domain. Since the FrFT kernel is a set of linear chirps, frequency-spatial domain seismic data processing is better suited using the FrFT than the FT. An analytical relationship between linear seismic events and FrFT parameters is derived and illustrated with an example. Seismic data from a field survey is used to show that the FrFT filtering performs better in coherent noise attenuation than the FT.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it