A Sufficient Condition for General QAM Complementary Sequence Pairs
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Bibliographic record
Abstract
This paper investigates the construction of QAM Golay complementary sequence pairs (CSPs) based on standard binary Golay-Davis-Jedwab (GDJ) CSPs. In order to guarantee that the proposed construction produces QAM Golay CSPs, a sufficient condition that the coefficients of offsets should satisfy is developed, which is fit for finding all the coefficients by a computer. In particular, all the coefficients of offsets over the 64- and 256-QAM constellations are given. The proposed construction includes Zeng's and Ma et al.'s ones as special cases. The inputs of resultant sequence pairs are binary signals rather than quaternary ones, which means that the resulting sequences are fit for such QAM systems that merely depend on binary inputs. The obtained QAM Golay CSPs can be applied to orthogonal frequency division multiplexing systems so as to reduce peak envelope power of their signals.
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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 | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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