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Estimation and Restoration of Unknown Nonlinear Distortion using Diffusion

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0197853" target="_blank" >RIV/00216305:26220/26:0197853 - isvavai.cz</a>

  • Result on the web

    <a href="https://aes2.org/publications/elibrary-page/?id=22953" target="_blank" >https://aes2.org/publications/elibrary-page/?id=22953</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.17743/jaes.2022.0221" target="_blank" >10.17743/jaes.2022.0221</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Estimation and Restoration of Unknown Nonlinear Distortion using Diffusion

  • Original language description

    The restoration of nonlinearly distorted audio signals, alongside the identification of the applied memoryless nonlinear operation, is studied. The paper focuses on the difficult but practically important case in which both the nonlinearity and the original input signal are unknown. The proposed method uses a generative diffusion model trained unconditionally on guitar or speech signals to jointly model and invert the nonlinearsystem at inference time. Both the memoryless nonlinear function model and the restored audio signal are obtained as output. Examples of successful blind estimation of hard and soft clipping, digital quantization, half-wave rectification, and wavefolding nonlinearities are presented. Our results suggest that, out of the nonlinear functions tested here, the cubic Catmull-Rom spline is best suited to approximating these nonlinearities. In the case of guitar recordings, comparisons with informed and supervised restoration methods show that the proposed blind method is at least as good as they are in terms of objective metrics. Experiments on distorted speech show that the proposed blind method outperforms general-purpose speech enhancement techniques and restores the original voice quality. The proposed method can be applied to memoryless audio effects modeling, restoration of music and speech recordings, and characterization of analog recording media.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20203 - Telecommunications

Result continuities

  • Project

    <a href="/en/project/GA23-07294S" target="_blank" >GA23-07294S: From perceptron to perception: psychoacoustically motivated audio reconstruction using learned components</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2025

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of the Audio Engineering Society

  • ISSN

    1549-4950

  • e-ISSN

  • Volume of the periodical

    73

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    14

  • Pages from-to

    519-532

  • UT code for WoS article

    001571323900003

  • EID of the result in the Scopus database