Least Square Error Detection for Noncoherent Cooperative Relay Systems
Bibliographic record
Abstract
In this paper, noncoherent cooperative amplify-and-forward (AF) half-duplex relay systems are considered. For such systems, an asymptotic formula of pairwise error probability (PEP) for the least square error (LSE) detector is derived by using the perturbation theory on the eigenvalues. The result shows that the full-diversity-gain function mimics coherent cooperative AF half-duplex relay systems, whereas the coding gain function mimics noncoherent multiple-input-multiple-output (MIMO) systems. In addition, it is proved that, for any given nonzero received signal, the unique blind identification of both the equivalent channel and the transmitted signals in a noise-free case is equivalent to full diversity with the LSE detector in a Gaussian noisy environment. In particular, for the noncoherent AF half-duplex protocol with three nodes, a full-diversity unitary diagonal distributed space-time block code (STBC) is designed by utilizing the full-diversity criterion established in this paper and recently developed uniquely factorable constellation. Furthermore, the generalized likelihood ratio test receiver is derived for this specific coded protocol. Simulation results show that the code presented in this paper substantially outperforms the differential code and the optimally precoded training scheme in the current literature.
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How this classification was reachedexpand
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 | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".