Linearly Constrained Adaptive Echo Cancellation for Discrete Multitone Systems
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Bibliographic record
Abstract
Achieving the full duplex transmission in digital subscriber lines (DSL) is possible by using echo cancellation methods. Most of the methods available for echo cancellation, in DSL systems based on the discrete multitone (DMT) modulation, deploy partial echo cancellation in the time and frequency domain. In these systems, the weights of the FIR filter emulating the echo in the time domain are mapped from the frequency-domain adaptive echo weights. This mapping can be regarded as a linear constraint on an extended weight vector containing weights in the time and frequency domain, and echo cancellation can then be regarded as a linearly constrained optimization on this extended linear space. In this paper, linearly constrained adaptive echo cancellation for DMT-based DSL systems is proposed. Two approaches are introduced based on the adaptive algorithms by Frost and by Griffiths. The proposed structure provides a unifying and flexible framework for echo cancellation in different DSL systems. Furthermore, in the proposed method the proper choice of the constraint can address the drifting problem in the presence of the narrow band noise in the DSL systems.
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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 | 0.000 | 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