Paper dossier

Antiderivative Antialiasing for Chebyshev Based Generalized Hammerstein Models

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Paper year

2025

Citations

0

Authors

2

Topic labels

1

Source readout

Source and corpus status

Venue

Journal of the Audio Engineering Society

Source slug

jaes

Corpus placement

Core corpus

Similarity rows

Not available yet

Ranking readout

Where this paper lands in the current run

Run shadow-generalization-product-candidate-ranking-v1Top 50 surfaced

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Families present

3

Top 50

3

Run label

shadow-generalization-product-candidate-ranking-v1

Snapshot

source-snapshot-shadow-generalization-v1-20260521

Scope: family global | run rank-83787b91ef

Emerging

In top 50 at rank 25

0.455

Emerging: embedding slice fit vs included-corpus centroid (title+abstract), plus citation velocity and topic growth; not universal relevance. Bridge signal not used here.

Signals: semantic=0.7761, citation_velocity=0.0000, topic_growth=1.0000, diversity_penalty=0.0000

Why this surfaced | 3 used | 1 penalty | 1 not computed
Embedding slice fit (corpus centroid)used

Embedding slice fit (corpus centroid): high; used in final ranking (contribution to score: 0.1552)

Recent attentionused

Recent attention: low; used in final ranking (contribution to score: 0.0000)

Topic momentumused

Topic momentum: high; used in final ranking (contribution to score: 0.3000)

Cross-cluster signalnot computed

Cross-cluster signal: not computed for this run

Similarity penaltypenalty

Similarity penalty: reduces score when non-zero (contribution to score: 0.0000)

Bridge

In top 50 at rank 45

0.517

Multi-topic paper in active topics; no cluster_version on this run so bridge_score was not computed.

Signals: citation_velocity=0.0000, topic_growth=1.0000, diversity_penalty=0.6667

Why this surfaced | 2 used | 1 penalty | 2 not computed
Semantic matchnot computed

Semantic match: not computed for this run

Recent attentionused

Recent attention: low; used in final ranking (contribution to score: 0.0000)

Topic momentumused

Topic momentum: high; used in final ranking (contribution to score: 0.6500)

Cross-cluster signalnot computed

Cross-cluster signal: not computed for this run

Topic breadth penaltypenalty

Topic breadth penalty: reduces score when non-zero (contribution to score: -0.1333)

Under-cited

In top 50 at rank 2

0.700

Low-cite candidate pool (see docs/candidate-pool-low-cite.md v0): core corpus, recency floor, citation ceiling, title+abstract gate; popularity penalty among pool members only. Semantic and bridge not yet modeled.

Signals: citation_velocity=0.0000, topic_growth=1.0000, diversity_penalty=0.0000

Why this surfaced | 2 used | 1 penalty | 2 not computed
Semantic matchnot computed

Semantic match: not computed for this run

Recent attentionused

Recent attention: low; used in final ranking (contribution to score: 0.0000)

Topic momentumused

Topic momentum: high; used in final ranking (contribution to score: 0.7000)

Cross-cluster signalnot computed

Cross-cluster signal: not computed for this run

Pool popularity penaltypenalty

Pool popularity penalty: reduces score when non-zero (contribution to score: 0.0000)

Abstract

Antiderivative antialiasing (ADAA) has proven to be an effective approach for reducing aliasing in mathematically defined nonlinear functions. This paper explores the application of ADAA to Chebyshev-based generalized Hammerstein models, which are utilized for blackbox modeling of nonlinearities in digital audio effects. The Chebyshev-based model eliminates certain matrix operations and therefore offers advantages over polynomial-based models. By integrating ADAA, this enhanced Chebyshev model achieves substantial aliasing reductions, comparable to upsampling. Both explicit and recursive implementations of a Chebyshev model are developed and evaluated for alias reduction, waveshape fidelity, and computational efficiency. The results demonstrate the potential of ADAA to enhance Chebyshev polynomials for modeling of nonlinear systems, making it a valuable technique for real-time audio processing.

Authors

  • T. C. Baker
  • Christopher J. Bennett

Neighborhood labels

Topics

1 labels

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Matrix Theory and Algorithms

Neighbor surface

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