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Method of Noise-Robust Estimation of Parameters of an Autoregressive Model in the Frequency Domain

  • NEW MEANS OF CYBERNETICS, INFORMATICS, COMPUTER ENGINEERING, AND SYSTEMS ANALYSIS
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Cybernetics and Systems Analysis Aims and scope

Abstract

The article considers the problem of estimating the parameters of the autoregressive (AR) signal in the presence of background noise. Based on the frequency representation of the AR signal, a technique of calculating the likelihood function of the AR parameters is shown and the implementation of the Expectation-Maximization method for iterative evaluation of the AR parameters is considered. Analysis of different measures of distortion of speech signals shows that the proposed approaches in the frequency domain have the same accuracy as the corresponding approaches in the time domain, but are characterized by significantly lower computing costs.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. K. Zadiraka

  2. Kyiv Academic University, Kyiv, Ukraine

    V. Yu. Semenov & Ye. V. Semenova

  3. Delta SPE, LLC, Kyiv, Ukraine

    V. Yu. Semenov

  4. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Ye. V. Semenova

Authors
  1. V. K. Zadiraka
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  2. V. Yu. Semenov
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  3. Ye. V. Semenova
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Corresponding author

Correspondence to V. K. Zadiraka.

Additional information

Translated from Kibernetyka ta Systemnyi Analiz, No. 5, September–October, 2021, pp. 186–192.

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Zadiraka, V.K., Semenov, V.Y. & Semenova, Y.V. Method of Noise-Robust Estimation of Parameters of an Autoregressive Model in the Frequency Domain. Cybern Syst Anal 57, 836–842 (2021). https://doi.org/10.1007/s10559-021-00409-y

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  • DOI: https://doi.org/10.1007/s10559-021-00409-y

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