Exact evaluation of BER for arbitrary modulation and signaling in AWGN channel
Why this work is in the frame
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Bibliographic record
Abstract
Exact evaluation of the bit- and symbol error rates in two dimensional constellation is a fundamental problem of digital communications which has closed-form solutions for particular modulations and/or bits-to-symbol mapping. In this paper we propose a general method which yields the exact results for arbitrary modulation constellation, arbitrary bits-to-symbol mapping and deals with the case of non-uniform signalling. These three conditions define any digital transmission using memoryless modulation thus, our method is a general tool solving all problems tackled in the literature under constraints imposed on one or more of the parameters defining the modulation or signalling type. Such evaluation tool is of practical importance during the design of the modulation. Through numerical simulations we illustrate the advantages offered by the new method when compared to the bounding technique.
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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 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 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