Dual-hop AF relaying systems in mixed nakagami-m and Rician links
Bibliographic record
Abstract
New, exact closed-form expressions for the probability density function (PDF) and the cumulative distribution function (CDF) are derived for the instantaneous received end-to-end signal-to-noise ratio (SNR) of dual-hop amplify-and-forward (AF) relaying systems operating over mixed Nakagami-m and Rician fading links. The expressions are used to obtain exact integral solutions for the ergodic capacity and the average symbol error probability as well as an exact closed-form solution for the outage probability of dual-hop AF systems operating over mixed links. The results obtained represent the first exact results for the cases of composite Nakagami-m/Rician fading links. The exact performance metrics are compared to performance bounds in the literature, and it is shown that the performance bounds are not tight for medium ranges of SNR. The effects of fading parameters on the system performance are studied. It is shown that the limiting slopes of the average error probability and outage probability curves are not affected by the fading parameters, however, SNR gains are achieved by increasing the fading parameter. Moreover, it is shown also that an increase in the Rician parameter, K, results in a notable SNR gain in the system performance, while an increase in the Nakagami-m parameter, m, has diminishing returns and gives negligible improvement in the system performance in some instances.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.000 |
| 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".