Finite wordlength design for FFT/IFFT in UWB-OFDM systems
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Bibliographic record
Abstract
Orthogonal frequency division multiplexing (OFDM) has been proposed for use in ultra-wideband (UWB) communication systems. In a UWB-OFDM transceiver, resource efficient FFT/IFFT hardware is a necessity due to minimal silicon area and low power requirements. Resource requirements can be reduced by using finite precision arithmetic in the FFT/IFFT algorithms. However, this introduces round-off and overflow noise, resulting in a degradation in BER performance. To address this problem, the finite precision arithmetic and wordlengths should be optimally designed at every stage of the FFT/IFFT. In this paper, we first present a mixed-radix FFT/IFFT algorithm for a UWB-OFDM transceiver with low multiplicative complexity. A round-off noise propagation model is derived and used to determine the optimal wordlength of the outputs and twiddle factors at each stage. The performance of the resulting system is compared to that with infinite precision arithmetic.
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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 | 0.001 | 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 | 0.001 |
| 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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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