Non-coherent estimator-correlators for unresolved multipath Ricean channels
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Bibliographic record
Abstract
This paper considers detection techniques for unresolved Ricean/Rayleigh fading multipath channels. It is well known that the optimal receiver has an estimator-correlator form, with a minimum mean-square error (MMSE) estimate. With known multipath delays and unknown specular phases, the Ricean non-coherent multipath channel is a case where the received noiseless signal process is non-Gaussian, and the MMSE estimator is non-linear in the observation. This work presents novel, explicit expressions for such a MMSE estimator. It is shown that the MMSE estimate has the same multipath format as the noiseless received signal, with the unknown parameters replaced by corresponding estimates. The MMSE estimator scales down contributions from specular multipath components with poor phase estimates, reducing their effect on the detection process. The estimator includes a multipath decorrelation operation which is essential to avoid error floors over unresolved multipath channels. Based on matched filter bounds, it is shown that little degradation gains are obtained by employing suboptimal linear estimator-correlators, provided that they include the decorrelation operation.
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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