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Upper bound of errors in solving the inverse problem of identifying a voice source

  • Acoustic Signal Processing. Computer Simulation
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Abstract

The paper considers the inverse problem of finding the shape of a voice-source pulse from a specified segment of a speech signal using a special mathematical model that relates these quantities. A variational method for solving the formulated inverse problem for two new parametric classes of sources is proposed: a piecewise-linear source and an A-source. The error in the obtained approximate solutions of the inverse problem is considered, and a technique to numerically estimate this error is proposed, which is based on the theory of a posteriori estimates of the accuracy in solving ill-posed problems. A computer study of the adequacy of the proposed models of sources, and a study of the a posteriori estimates of the accuracy in solving inverse problems for such sources were performed using various types of voice signals. Numerical experiments for speech signals showed satisfactory properties of such a posteriori estimates, which represent the upper bounds of possible errors in solving the inverse problem. The estimate of the most probable error in determining the source-pulse shapes for the investigated speech material is on average ~7%. It is noted that the a posteriori accuracy estimates can be used as a criterion for the quality of determining the voice-source pulse shape in the speaker-identification problem.

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Authors and Affiliations

  1. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, 115409, Russia

    A. S. Leonov

  2. Institute of Problems of Information Transfer, Russian Academy of Sciences, Bol’shoi Karetnyi per., Moscow, 127994, Russia

    V. N. Sorokin

Authors
  1. A. S. Leonov
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  2. V. N. Sorokin
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Correspondence to A. S. Leonov.

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Original Russian Text © A.S. Leonov, V.N. Sorokin, 2017, published in Akusticheskii Zhurnal, 2017, Vol. 63, No. 5, pp. 532–545.

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Leonov, A.S., Sorokin, V.N. Upper bound of errors in solving the inverse problem of identifying a voice source. Acoust. Phys. 63, 570–582 (2017). https://doi.org/10.1134/S1063771017050074

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  • DOI: https://doi.org/10.1134/S1063771017050074

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