A novel time-domain approach for the design of quadrature mirror filter banks
Why this work is in the frame
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Bibliographic record
Abstract
A novel approach for the design of two-channel QMF banks is proposed. In the design, instead of minimizing the objective function directly, an iterative procedure is used in each step in which the objective function is modified into a quadratic function whose minimum point can be obtained analytically. Compared with the iterative method proposed recently by Chen and Lee (1992) in which the perfect reconstruction condition is formulated in the frequency domain, the perfect reconstruction condition in our method is formulated in the time domain. This avoids calculating large matrices and leads to reduced computation complexity in the design. A case study is included which demonstrates that the proposed method needs only a fraction of the computation time required by the method of Chen and Lee.
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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 | 0.000 |
| Open science | 0.001 | 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