Cascaded <inline-formula> <tex-math notation="LaTeX">$\alpha-\mu$ </tex-math> </inline-formula> Fading Channels: Reliability and Security Analysis
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Bibliographic record
Abstract
In this paper, the cascaded α - μ fading distribution is first introduced and mathematically characterized, which arises as a generalization of the cascaded Rayleigh, Weibull, and Nakagami-m fading distribution, by properly selecting fading parameters α and μ with specific values. In particular, the statistical characterization of the cascaded α - μ fading channels, namely, the probability density function and cumulative distribution function, are first studied. This set of new statistical results is applied to the modeling and analysis of the reliability and security performance of wireless communication systems over the cascaded α-μ fading channel. Regarding system reliability, the amount of fading, outage probability, average channel capacity, and the average symbol error probability with coherent and non-coherent demodulation schemes are derived with respect to the univariate Fox's H-function. In terms of security analysis, the secrecy outage probability P <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">out</sub> , the probability of non-zero secrecy capacity P <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nz</sub> , and the average secrecy capacity are analyzed in the exact closed-form expressions which are derived in the presence of an active eavesdropper. In addition, an asymptotic analysis of all aforementioned metrics is carried out, in order to gain more insights of the effect of the key system parameters on the reliability and security. Tractable results are computed in terms of the Fox's H-function and later on are successfully validated through Monte-Carlo simulations.
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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 | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.001 | 0.004 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.003 |
| Open science | 0.003 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| 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