Simplified Bit Error Rate Analysis of PAPM-UWB with MRC and EGC in Lognormal Fading Channels
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Bibliographic record
Abstract
Ultra-wideband (UWB) communications is a new technology being developed for high-speed, short distance wireless communications. One possible modulation scheme is pulse amplitude and position modulation (PAPM), which has a flat power spectral density that is highly suited to UWB. Closed-form expressions for the error rate performance of a PAPM UWB receiver based on maximal ratio combining (MRC) in a lognormal fading channel have been derived using Wilkinson's approximation for lognormal sums. The receiver is analyzed using a more accurate approximation to the lognormal sum distribution. Our approach is extended to obtain accurate closed-form expressions for the performance of equal gain combining (EGC). The performances of MRC and EGC diversity are calculated and compared to the results obtained using Wilkinson's approximation.
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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 | 0.001 | 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 it