Selective enhancement of space-time broadband spiral-waves using 2D IIR digital filters
Bibliographic record
Abstract
Broadband space-time spiral-waves have received much attention in bioelectromagnetics and chaotic systems. They occur as propagating waves in non-linear active-media, such as the surface of the heart. A novel first-order 2D IIR practical-BIBO stable non-separable digital filter, based on a 2D signal derived from a circular-array of sampled sensors, is proposed for the real-time broadband highly-selective enhancement of broadband Archimedean spiral-waves and circular-waves in the presence of undesired spiral-waves. The proposed filter employs the spatio-temporal helix-transform, which is a form-preserving transform that converts a noncomputable 2D difference-equation into an equivalent 1D difference-equation. This transformation converts a noncomputable 2D IIR digital filter into a computable, and practically useful, 1D IIR approximate equivalent filter. The selective enhancement of broadband Gaussian spiral-wave and circular-waves are demonstrated where the desired spiral-waves are shown to be enhanced by approximately 22 dB. The computational complexity of the proposed filter is low, employing 3 multiplications and 6 additions/subtractions per output sample.
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How this classification was reachedexpand
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".