Analytical Determinant of the Noise Parameter Extraction Matrix and Its Applications
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Bibliographic record
Abstract
We derive an analytical expression of the determinant of the 4 × 4 noise parameter extraction matrix based on a slight modification of the matrix in the works of Hu and Weinreh [2004]. We specialize the derivation to a very useful and practicable case in which one of the impedance points is the center of the Smith chart. The resulting expression is simple and provides very useful guidance for impedance selection. We illustrate this with an example of a wideband noise parameter extraction in the low-frequency radio astronomy band of 50 to 350 MHz.
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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 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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