Simple semi-analytical expression for the max-SIR outage probability in cellular networks
Bibliographic record
Abstract
Using the hexagonal grid based two-interferer model we derive a simple analytical expression for the max-SIR conditional outage probability in an interference-limited cellular network. The derived probability is compared to the one that is obtained by simulation from the 19 base stations two-ring hexagonal grid. The comparison reveals that the derived probability matches the actual one to within 0-2.5 dB for practical values of the path loss exponent and the shadowing standard deviation. While no closed form expression is derived for the cell's outage probability (as the integral has no closed-form solution) its value is obtained through numerical integration. The cell's outage probability is shown to match, to within a fraction of a dB, the one provided by the two-ring hexagonal model. The derived expression can be used to obtain the cell's outage probability (or its complement, i.e. the cell's coverage probability) for a shadowing standard deviation of between 6 to 12 dB and for a path loss exponent of between 2.5 to 4.5.
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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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| 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".