Theory of Periodic Sequence: A Highly-Efficient Signal Integrity Modeling for Ultra-Broadband Transmission Lines
Why this work is in the frame
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Bibliographic record
Abstract
This work introduces and investigates a highly efficient eye diagram model, called the periodic eye diagram (PED), for assessing the performance of ultra-broadband transmission lines from the perspective of signal integrity. The PED model is based on the theory of periodic sequence, a novel approach for representing the propagation of time-periodic electromagnetic (EM) waves. Leveraging the parallel nature of EM periodic sequences, the full-wave response of high-speed channels can be rapidly obtained using one-batch multiprocessing. The computational scale remains small due to the inherent frequency-independent property of periodic sequences. Consequently, the PED and its corresponding eye parameters can be derived with both high speed and accuracy. This proposed method holds significant potential for enhancing the analysis and design of emerging ultra-broadband transmission lines with matched loads and manageable discontinuity.
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| 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