Unified Mathematical Framework for Channel Estimation in VLC Systems With Signal-Dependent Noise
Bibliographic record
Abstract
Channel estimation is essential for reliable high-speed data in visible light communication (VLC) systems. This work models the VLC channel with random user location and incorporates thermal noise, signal-dependent shot noise (SDSN), and relative intensity noise (RIN) into a unified mathematical framework. The Bayesian Cramér–Rao lower bound (BCRLB) is derived, and five estimators (LS, ML, MAP, LMMSE, MMSE) are implemented and evaluated. Results show MMSE offers the best performance, nearing the BCRLB, while RIN significantly degrades accuracy, especially at high transmitted power. The study quantifies how increasing the number of transmitted pilots consistently improves system performance, even in the presence of dependent noise, whereas increasing power under dependent noise does not always lead to performance gains.
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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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.004 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| 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".