On the generation of correlated Rayleigh random variates by inverse discrete Fourier transform
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Bibliographic record
Abstract
Digital computer simulation is widely used to design and develop wireless transmission systems and the components of wireless transmission systems. System performance such as coverage and outage are also frequently assessed by computer simulation. The fading caused by multipath propagation in wireless systems is accurately modeled in some practical cases by the Rayleigh distribution function. This paper presents a modification of the algorithm of Smith (1971) for the generation of correlated Rayleigh random variates by inverse discrete Fourier transform (IDFT) on a digital computer. The new method requires exactly one-half the number of IDFT operations and roughly two-thirds the computer memory of Smith's method. This paper also provides an analysis of the statistical properties of IDFT-based methods and comparisons between the IDFT approach and other approaches to correlated Rayleigh sample generation.
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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 | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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