A Class of Cosine-Modulated Filter Banks with Multiple Prototype Filters
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Bibliographic record
Abstract
In this paper, several new cosine-modulated filter banks (CMFBs) are developed by using multiple prototype filters in conjunction with a proper modulation scheme. First, the conventional CMFB is formulated as a cascade of a modulation matrix and a polyphase matrix with a bidiagonal structure. Under this framework, it is then revealed that the proposed new CMFBs are a special class of paraunitary filter banks (PUFBs), whose polyphase matrices are of different sparse patterns. It is shown that when M prototype filters are used, a full polyphase matrix representing a general PUFB can be obtained, thus providing a bridge connecting CMFBs and PUFBs. It is also shown that with more free parameters involved in the CMFBs, one can achieve a tradeoff between the performance of the filter bank and its design/implementation complexity
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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