Iterative design of IIR variable fractional delay digital filters
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Bibliographic record
Abstract
In this paper, an iterative algorithm is proposed to design IIR variable fraction delay (VFD) digital filters in the weighted least-squares (WLS) sense. The original IIR VFD filter design problem is nonconvex. As an attempt to tackle this difficulty, an iterative procedure is introduced, and the Steiglitz-McBride (SM) reweighting technique is employed at each iteration to transform the original approximation error into a (convex) quadratic form. The stability of designed IIR VFD filters can be ensured by imposing a set of linear stability constraints based on the positive realness. The proposed algorithm can be applied to design IIR VFD filters with either fixed or variable denominator. Two examples are presented to illustrate the effectiveness of the proposed algorithm.
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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 | 0.003 |
| 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