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Multivariate Decomposition of Acoustic Signals in Dispersive Channels

Author

Listed:
  • Miloš Brajović

    (Faculty of Electrical Engineering, University of Montenegro, 81000 Podgorica, Montenegro)

  • Isidora Stanković

    (Faculty of Electrical Engineering, University of Montenegro, 81000 Podgorica, Montenegro)

  • Jonatan Lerga

    (Faculty of Engineering, University of Rijeka, 51000 Rijeka, Croatia)

  • Cornel Ioana

    (Gipsa-Lab, Université Grenoble Alpes, 38400 Grenoble, France)

  • Eftim Zdravevski

    (Faculty of Computer Science and Engineering, University Ss. Cyril and Methodius, 1000 Skopje, North Macedonia)

  • Miloš Daković

    (Faculty of Electrical Engineering, University of Montenegro, 81000 Podgorica, Montenegro)

Abstract

We present a signal decomposition procedure, which separates modes into individual components while preserving their integrity, in effort to tackle the challenges related to the characterization of modes in an acoustic dispersive environment. With this approach, each mode can be analyzed and processed individually, which carries opportunities for new insights into their characterization possibilities. The proposed methodology is based on the eigenanalysis of the autocorrelation matrix of the analyzed signal. When eigenvectors of this matrix are properly linearly combined, each signal component can be separately reconstructed. A proper linear combination is determined based on the minimization of concentration measures calculated exploiting time-frequency representations. In this paper, we engage a steepest-descent-like algorithm for the minimization process. Numerical results support the theory and indicate the applicability of the proposed methodology in the decomposition of acoustic signals in dispersive channels.

Suggested Citation

  • Miloš Brajović & Isidora Stanković & Jonatan Lerga & Cornel Ioana & Eftim Zdravevski & Miloš Daković, 2021. "Multivariate Decomposition of Acoustic Signals in Dispersive Channels," Mathematics, MDPI, vol. 9(21), pages 1-29, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2796-:d:672122
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