A novel approach to the exact design of LDI Jaumann digital filters
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Bibliographic record
Abstract
A method for exactly designing and synthesizing lossless discrete-integrator (LDI) Jaumann digital filters is presented. In this method, the entire LDI Jaumann digital filter synthesis is performed directly in the discrete-time z-domain, i.e. without any recourse to the concept of a corresponding s-domain analog prototype reference filter or its transfer function. This results in the development of two LDI Jaumann digital filter structures, one of which is completely new (using a leapfrog configuration) while the other has been obtained elsewhere by using the (indirect) bilinear-LDI design method. These LDI Jaumann digital filters exhibit exceptionally low sensitivity to multiplier coefficient quantization errors, have good dynamic-range properties, and require a minimal amount of digital hardware for their implementations. Most importantly, they lend themselves to fast two-cycle parallel processing speeds which are virtually independent of the order of the z-domain transfer function to be realized.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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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 | 0.001 |
| Open science | 0.001 | 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