Fast generation of universal maximally flat fir filters
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Bibliographic record
Abstract
The relation for impulse response coefficients of Baher's universal maximally flat filters is a threefold summation formula. The summand involves four binomial coefficients whose computation requires an extensive number of additions and multiplications. There are three main parameters that characterize the filters, the order N, the number of zeros K, and the group delay parameter d. With fixed values for these parameters, the total number of additions, multiplications, and divisions required to compute the impulse response coefficients h/sub k/ are of the orders O(N/sup 4/), O(N/sup 5/) and O(N/sup 4/), respectively. We present a recurrence for the computation of h/sub k/ for all possible values of K under fixed values for N and d. The recurrence provides speedups of the orders O(N/sup 2/), O(N/sup 3/) and O(N/sup 2/) for the number of additions, multiplications and divisions, respectively.
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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