Paper dossier

Numerical Noise in Fixed-Pole Parallel and Kautz Filters

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Paper year

2025

Citations

1

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

This block uses the same resolved ranking run as Recommended. Ranks here are materialized paper_scores ranks; live Emerging may be reordered by the bounded ML scorer. Family rank is global within each family, but rank is only shown when this paper lands inside the surfaced top 50.

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 17

0.478

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=0.7393, citation_velocity=0.0600, 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: 0.1479)

Recent attentionused

Recent attention: low; used in final ranking (contribution to score: 0.0300)

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 34

0.538

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

Signals: citation_velocity=0.0600, 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: 0.0210)

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 7

0.648

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=0.0600, topic_growth=1.0000, diversity_penalty=0.2789

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: 0.0180)

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: -0.0697)

Abstract

In audio filtering, Kautz and fixed-pole parallel filters are commonly used, as they have the ability to approximate the frequency resolution of hearing. However, infinite impulse response filters are susceptible to numerical noise, as quantization happens in their feedback loop. This is especially severe in systems where only fixed-point arithmetic is available. In order to limit the noise to an acceptable level, several low-noise second-order structures have been developed. In this paper, the authors compare the numerical noise properties of Kautz and fixed-pole parallel filters implemented in fixed-point arithmetic. The authors present the results for two different scaling methods and show that the common Kautz realization has unacceptable noise levels. Instead, they suggest the use of better performing parallel filters for general (nonadaptive) infinite impulse response filtering and a rearranged all-pass-based Kautz structure for adaptive filtering.

Authors

  • Kristóf Horváth
  • Balázs Bank

Neighborhood labels

Topics

1 labels

Topic labels are imported metadata and can be noisy; use them as coarse navigation hints, not authoritative classifications.

Digital Filter Design and Implementation

Neighbor surface

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