Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement

Cemil Karaçam; Alper Vural; Mehmet Özükanar

Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement

Abstract

This paper introduces a multi-stage framework for extracting high-entropy binary se-quences from audio signals. The procedure consists of generating the analytic signal viaHilbert transformation, applying thresholding and amplification, and performing modu-lar reduction before binary encoding based on local amplitude comparisons. Experimentswere carried out using several prime moduli and amplification parameters, with three-source XOR aggregation and optional Von Neumann debiasing as post-processing stages.Randomness quality was assessed using the NIST SP 800-22 test suite. The results in-dicate that configurations employing intermediate amplification factor yield statisticallyrobust bitstreams, while smaller amplification tend to introduce detectable structuralpatterns. Overall, the method provides effective entropy enhancement, particularly whendispersion and debiasing parameters are appropriately tuned.

Keywords

References

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Details

Primary Language

English

Subjects

Computational Statistics

Journal Section

Research Article

Authors

Cemil Karaçam ^*
0000-0001-7186-5114
Türkiye

Alper Vural
0000-0001-9985-3932
Türkiye

Mehmet Özükanar
0009-0004-8877-156X
Türkiye

Publication Date

June 30, 2026

Submission Date

March 25, 2026

Acceptance Date

June 30, 2026

Published in Issue

Year 2026 Volume: 3 Number: 3(1)

IZ

https://izlik.org/JA84MT99FH

Cite

RIS / Bibtex

APA

Karaçam, C., Vural, A., & Özükanar, M. (2026). Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement. Türkiye Mathematical Sciences, 3(3(1), 42-54. https://izlik.org/JA84MT99FH

AMA

1.Karaçam C, Vural A, Özükanar M. Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement. TMS. 2026;3(3(1):42-54. https://izlik.org/JA84MT99FH

Chicago

Karaçam, Cemil, Alper Vural, and Mehmet Özükanar. 2026. “Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement”. Türkiye Mathematical Sciences 3 (3(1): 42-54. https://izlik.org/JA84MT99FH.

EndNote

Karaçam C, Vural A, Özükanar M (June 1, 2026) Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement. Türkiye Mathematical Sciences 3 3(1) 42–54.

IEEE

[1]C. Karaçam, A. Vural, and M. Özükanar, “Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement”, TMS, vol. 3, no. 3(1), pp. 42–54, June 2026, [Online]. Available: https://izlik.org/JA84MT99FH

ISNAD

Karaçam, Cemil - Vural, Alper - Özükanar, Mehmet. “Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement”. Türkiye Mathematical Sciences 3/3(1) (June 1, 2026): 42-54. https://izlik.org/JA84MT99FH.

JAMA

1.Karaçam C, Vural A, Özükanar M. Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement. TMS. 2026;3:42–54.

MLA

Karaçam, Cemil, et al. “Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement”. Türkiye Mathematical Sciences, vol. 3, no. 3(1), June 2026, pp. 42-54, https://izlik.org/JA84MT99FH.

Vancouver

1.Cemil Karaçam, Alper Vural, Mehmet Özükanar. Entropy Extraction from Audio Signals Using Hilbert-Mod Transformation and Von Neumann Refinement. TMS [Internet]. 2026 Jun. 1;3(3(1):42-54. Available from: https://izlik.org/JA84MT99FH