A comparison of FIR filter implementations based on two's complement and residue number arithmetic
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Bibliographic record
Abstract
Two FIR filter designs based on residue number arithmetic (RNA) are presented and compared with a conventional design based on two's complement arithmetic (TCA). For the RNA based designs the arithmetic operations are implemented by means of small RAM and ROM look-up tables. The cascadeable and programmable ASICs, which can be configured as either 4-tap or 8-tap FIR filters, have been designed to the same functional specifications. The designs have been carried out using the MOSIS CMOSN 1.2 /spl mu/m technology, standard cell library, and memory compilers. Simulation and layout results for the selected FIR filter architectures indicate that the design based on TCA has the highest throughput and smallest area.
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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) | 0.002 | 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