Novel approach to the design of direct digital frequency synthesizers based on linear interpolation
Why this work is in the frame
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Bibliographic record
Abstract
This paper presents a novel approach to the design of direct digital frequency synthesizers (DDFSs) with phase-to-sinusoid amplitude conversion blocks based on linear interpolation. For such DDFSs, the first quadrant of the sine function is approximated with a number of linear segments. Simple control circuitry reconstructs a full sine wave by symmetry. DDFS architectures using linear interpolation are first discussed, and an analysis of their spectral properties is given. From this analysis, an upper bound is provided for the spurious free dynamic range (SFDR) that can be attained for a given number of linear segments. A detailed and systematic procedure for the selection of linear segment coefficients achieving a desired SFDR is then proposed. A generalized multiplierless linear interpolation DDFS architecture is described, and specific designs achieving 84 and 96 dBc of SFDR are discussed and compared with previous work. It is shown that the complexity of synthesizers based on the new approach, in terms of the number of transistors and silicon area, is significantly less than that of previously presented DDFS designs of similar performance.
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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 | 0.001 | 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)
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