Distributed beamforming and power allocation in two-way multi-relay networks with second-order channel statistics
Bibliographic record
Abstract
We investigate distributed beamforming and power allocation for a single-antenna two-way relay network, which consists of multiple, parallel amplify-and-forward relays. The goal is to maximize the smaller of the two signal-to-noise-ratios (SNRs) while maintaining the total transmit power in each time slot below a predefined threshold. While related previous studies have assumed that the two transceivers know perfect instantaneous channel state information (CSI) of the entire network, in this paper, each transceiver only knows its own channel to the relays and the second-order-statistics (SOS) of the channel gains from the other transceiver to the relays. We develop optimal and sub-optimal solutions. The optimal one requires eigenvalue decomposition and iteratively exhaustive search, while the sub-optimal one uses a Taylor series approximation, but gives a near-optimal solution with significantly low computational complexity.
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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 | 0.002 |
| 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 | 0.000 |
| 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".