Information rates for multi‐dimensional modulation over multiple antenna wireless channels
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Bibliographic record
Abstract
Abstract This paper considers achievable information rates for space‐‐time modulation schemes created by various allocations of signal dimensions to transmit antennas, and various transmit power allocations. We employ a deterministic space and time dispersive channel model following the 3rd Generation Partnership Project (3GPP) standards. With informed transmitters, Shannon capacity is achieved by a water‐filling power allocation and an eigen‐beamforming signalling structure. With uninformed transmitters, we represent the lack of channel knowledge by an a‐prior probability distribution on the components of the channel propagation matrix. Then we show that a uniform power allocation makes the fraction of channels whose mutual information is less than any given rate, converge to zero fastest as the a‐prior distribution becomes non‐informative. Allocating all signal dimensions to all transmit antennas has significant benefits in many situations when the signal‐to‐noise ratio (SNR) is not too small. For extreme SNR (low and high) cases, we consider power and signal dimension allocations that maximise the information rate with partial transmitter channel knowledge. Copyright © 2008 John Wiley & Sons, Ltd.
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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 | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| 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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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