Optimal bit error rate linear rake receiver for signal detection in highly impulsive symmetric alpha-stable noise
Bibliographic record
Abstract
Alpha-stable noise arises in many areas of electrical engineering including communications. However, no closed-form solution is known for its probability density function in general. Therefore, the maximum likelihood detector for alpha-stable noise is not known in general. A number of suboptimal detectors have been proposed based on various approximations for the alpha-stable distribution. However, these non-linear structures are not easy to realize. A linear combiner is an easy to implement form of receiver when multiple samples are available. However, the well known maximal ratio combiner and the equal gain combiner are not necessarily the optimal linear combiners for alpha-stable noise. The optimal linear combiner for alpha-stable noise has been derived in the literature for 1 < alpha les 2. However, no solution is known for the case 0 < alpha les 1. In this paper we present and prove the optimal linear Rake combiner for this range of alpha.
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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 | 0.002 | 0.008 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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".