Optimal design of general multi-channel nonuniform transmultiplexers
Why this work is in the frame
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Bibliographic record
Abstract
The paper considers the design of multi-channel, nonuniform-band transmultiplexers. To achieve perfect reconstruction, we propose to build nonuniform transmultiplexers using general dual-rate structures which provide more design freedom. Such general transmultiplexers have a new source of error called aliasing distortion, in addition to the traditional cross-talk, magnitude, and phase distortions. We propose a composite error criterion which captures all four distortions in one. Using this error criterion as reconstruction performance measure, we develop an optimal design procedure and apply it to a three-channel nonuniform example, yielding an FIR transmultiplexer which has good frequency limiting properties in the synthesis end and is very close to perfect reconstruction.
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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 | 0.001 |
| 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