An Analytic <i>RLC</i> Model for Coupled Interconnects Which Uses a Numerical Inverse Laplace Transform
Bibliographic record
Abstract
In this article, a numerical inverse Laplace transform (NILT)-based algorithm is used to efficiently approximate key characteristics of coupled high-speed VLSI interconnects, such as 50% delay, overshoot, and peak crosstalk. Through the use of a variable (LC or RC) modal decoupling technique, matrix inversion at each time point and pole of the numerical inverse Laplace formula is computed on a diagonal matrix, allowing for minimal computation times at the cost of a slight reduction in accuracy. The proposed methodology independently solves the modal voltage response at each time point, pole, and line allowing for parallel computation resulting in further speed up. In addition, the order of the NILT approximation can be modified depending on the speed and accuracy needed. Four numerical examples of coupled interconnects are presented to evaluate the accuracy and computational efficiency of the proposed methodology. Overall, the NILT-based algorithm provides useful approximations of the time-domain response, while being significantly faster than SPICE.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| 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 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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 source (direct Gemma or distilled Codex), 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".