Standard Deviation of the Copolar Correlation Coefficient for Simultaneous Transmission and Reception of Vertical and Horizontal Polarized Weather Radar Signals
Bibliographic record
Abstract
The perturbation method is used to derive the variance of the zero-lag copolar correlation coefficient, | ρHV | , for a radar simultaneously transmitting and receiving both horizontal and vertical polarization. The variance of | ρHV | is a function of its expected value, the number of samples, the normalized Doppler velocity spectrum width, συn, and the signal-to-noise ratio in the receivers. Assuming the covariances and cross covariance of the radar signals are represented by zero-mean complex Gaussian processes, the precision of the estimate of | ρHV | for alternate and simultaneous transmission and reception of horizontal and vertical polarization is discussed. Calculations show that variations in the expected value of | ρHV | from 0.7 to 0.98 lead to a decrease in the precision of the estimate of | ρHV | of more than one order of magnitude: for narrow spectra (συn < 0.04) the estimates do not depend on the sampling scheme used but on the number of samples taken, and at larger spectrum widths (συn > 0.1) the simultaneous scheme can be more than one order of magnitude more precise than the alternate scheme. Furthermore, for good precision the signal-to-noise ratio should exceed 10 dB.
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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 | 0.000 | 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 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".