Bibliographic record
Abstract
For fixed bandwidth and total radiated power, with Rayleigh fading, a wireless system with multiple antennas at both transmitter and receiver has a channel capacity which grows linearly (rather than logarithmically) with the number of antennas. This result, which assumes separate information is sent out of each transmit antenna, holds true even though the transmitter does not know the complex channel transfer characteristic. By explicitly spreading out the antennas well beyond a wavelength, we show that such capacities can be achieved not only on Rayleigh channels with many scatterers, but also on deterministic channels with direct line-of-sight (LOS) paths only and no scatterers. Roughly speaking, the wide spacing, replicates the effect of scatterers which create images and thus serves to spread out the apparent source of the signals over a wider angular range. In this way capacities on the order of C lin = nlog 2 (1 + ρ) bps/Hz can be obtained for LOS as well as Rayleigh channels when n transmit and n receive antennas are used. In contrast, when the transmit antennas are closely spaced, the number of degrees of freedom on a LOS channel degenerate, resulting in capacities of only C log = log 2 (1 + nρ).
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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 | 0.001 | 0.001 |
| 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 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".