Hardware Implementation of Nakagami and Weibull Variate Generators
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Bibliographic record
Abstract
An efficient implementation of Nakagami- <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</i> and Weibull variate generators on a single field-programmable gate array (FPGA) is presented. The hardware model first generates a correlated Rayleigh fading variate sequence and then transforms it into a sequence of Nakagami- <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</i> or Weibull fading variates. A biquad processor facilitates the compact implementation of a Rayleigh variate generator with arbitrary autocorrelation properties. A combination of logarithmic and linear domain segmentations along with piece-wise linear approximations is used to accurately implement the nonlinear numerical functions required to transform the correlated Rayleigh fading process into Nakagami-m or Weibull fading processes. When implemented on a Xilinx Virtex-5 5VSX240TFF1738-2 FPGA, the fading simulator uses only 1.6% of the configurable slices, 1.2% of the DSP48E modules and 3 block memories, while operating at 120 MHz, generating 120 million complex variates per second. The throughput can be increased up to 373 MHz with this FPGA if two separate clock sources are utilized.
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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 | 0.000 | 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