State-Space Modeling of Loudspeakers Using Fractional Derivatives

  • Alexander Weider King (Speaker)

    Activity: Talks and presentationsConference presentations


    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.
    Period30 Oct 2015
    Event title139th International Audio Engineering Society (AES) Convention
    Event typeConference
    LocationNew York City, United StatesShow on map
    Degree of RecognitionInternational