Trace-orthonormal full rate full diversity linear triangular cyclotomic space-time codes minimizing worst case pair-wise error probability
Bibliographic record
Abstract
We consider the flat fading wireless link where the number of transmitter antennas is greater than the number of receiver antennas and the channel is known to the receiver. For such systems, the currently available linear space-time block codes provide full rate and full diversity, but cannot guarantee that the optimal coding gain is achieved. In this paper, by taking advantage of delay we propose the trace-orthonormal full rate full diversity linear triangular cyclotomic space-time block codes, which actually is a generalization of the linear diagonal space-time block code. A universal lower bound on the worst case average pair-wise error probability is derived for any linear space-time block code. Particularly when the number of the transmitter antennas is equal to 2/sup m/, we prove that our proposed code minimizes the worst case average pair-wise error probability of the maximum likelihood detector for M-ary quadrature amplitude modulation (QAM). Therefore, in this case, it achieves the optimal coding gain.
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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 | 0.006 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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 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".