A novel approach to the design and synthesis of general-order Bode-type variable-amplitude active-RC equalizers
Bibliographic record
Abstract
This paper presents a novel approach to the exact design and synthesis of general-order active-RC Bode-type variable-amplitude (VA) equalizers. The proposed design approach is based on, (a) the realization of the VA equalizer transfer function as the input-pair transmittance of a two-pair signal-flow network having the shaping transfer function as its output-pair terminating transmittance, and (b) the realization of the output-pair terminating transmittance in terms of a singly-terminated positive-real impedance function. The resulting VA active-RC equalizers permit the continuous variation of the equalizer transfer function from the shaping transfer function to its inverse through the use of a single positive variable resistor only.. In addition, they exhibit the important practical feature that a geometrically symmetric change in the value of the variable resistor causes a corresponding arithmetically symmetric change in the logarithmic magnitude-frequency response of the equalizer. An application example is given to illustrate the main results.
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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 | 0.001 | 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".