Prototype reference transfer function parameters in the discrete-time frequency transformations
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Bibliographic record
Abstract
A direct discrete-time frequency transformation technique is presented with which it is possible to transform a prototype normalized lowpass reference transfer function into a denormalized lowpass (LP), highpass (HP), bandpass (BP), or bandstop (BS) transfer function. The salient feature of the proposed technique is that it permits prescribed values to be assigned not only to the passband edge(s) but also to the stopband edge(s) of the required denormalized transfer functions. In addition, it permits one degree of freedom in the determination of the passband edge and the stopband edge of the lowpass reference transfer function. This degree of freedom has been exploited to derive the passband edge and the stopband edge of the reference transfer function for the important class of denormalized LP, HZP, BP, and BS transfer functions with elliptic magnitude-frequency characteristics.< <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 | 0.000 |
| 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