A new simplified approach to spectrum analysis for digital-to-analog converters and its fundamental measurement without a filter
Bibliographic record
Abstract
A new simplified approach to the spectrum analysis of digitally synthesized sine-waves generated by DACs is described, including amplitude and phase. The analysis is based on the perfect wave produced by the DAC according to the discrete digital values of a sinusoidal signal. The fundamental component of this wave has an approximate relative difference of -1.644 9/n2 in amplitude and a phase shift of -p/n with respect to the ideal original sinusoidal waveform signal, where n expresses the number of samples per period. In addition, there are the harmonic components of the (tn±1)th order having an amplitude of 1/(tn±1) times the amplitude of the fundamental component (t=1, 2, ⋯). Based on this knowledge, an experiment to compare only the fundamental component without filter is described, and some applications are discussed.
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How this classification was reachedexpand
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 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".