Third‐order tunable‐phase asymmetric cross‐coupled oscillator
Why this work is in the frame
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Bibliographic record
Abstract
Here, the authors show that an asymmetric cross‐coupled oscillator can be used to achieve independent‐phase tunable outputs. In particular, a third‐order cross‐coupled oscillator, with non‐balanced loads, is studied and expressions for its start‐up condition, oscillation frequency, phase‐shift between its two outputs as well as their amplitude ratio are derived. From these expressions, it is found that independent tuning of these design specifications is possible and a voltage‐controlled phase‐tunable oscillator can be achieved. As a consequence of the non‐balanced loads, the tail biasing current is not equally split between the two cross‐coupled transistors. However, a design procedure that enables the equal splitting of the current is proposed and validated. Simulations of a prototype in a CMOS process are given and experimental results with discrete transistors verify the correctness of the theory.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.003 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.005 |
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