State-Space Modelling of Loudspeakers using Fractional Derivatives

Alexander Weider King, Finn T. Agerkvist

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    This work investigates the use of fractional order derivatives in modeling moving-coil loudspeakers. A fractional order state-space solution is developed, leading the way towards incorporating nonlinearities into a fractional order system. The method is used to calculate the response of a fractional harmonic oscillator, representing the mechanical part of a loudspeaker, showing the effect of the fractional derivative and its relationship to viscoelasticity. Finally, a loudspeaker model with a fractional order viscoelastic suspension and fractional order voice coil is fit to measurement data. It is shown that the identified parameters can be used in a linear fractional order state-space model to simulate the loudspeakers’ time domain response
    Original languageEnglish
    Title of host publicationProceedings of 138th International Audio Engineering Society (AES) Convention
    Number of pages10
    PublisherAudio Engineering Society
    Publication date2015
    Publication statusPublished - 2015
    Event139th International Audio Engineering Society (AES) Convention - The Jacob Javits Center, New York City, United States
    Duration: 29 Oct 20151 Nov 2015


    Conference139th International Audio Engineering Society (AES) Convention
    LocationThe Jacob Javits Center
    Country/TerritoryUnited States
    CityNew York City
    Internet address


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