BER analysis for noncoherent FSK in two-hop relay networks
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Bibliographic record
Abstract
We analyze the bit-error rate (BER) performance of two-hop relay networks with the amplify-and-forward protocol over Rayleigh fading channels. A relay network adopting noncoherent frequency shift keying (FSK) is considered. We begin by deriving the exact closed-form BER expression for M-ary FSK (MFSK) with perfect frequency synchronization and then obtain the exact BER with a triple integral for MFSK with imperfect frequency synchronization. For a special and practically important case, binary FSK (BFSK) with imperfect frequency synchronization, we obtain the exact BER expression with one integral and then a series expansion of the exact BER expression, which does not require any numerical calculation.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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