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A. King, and FI. T.. Agerkvist, "State-Space Modeling of Loudspeakers Using Fractional Derivatives," Paper 9413, (2015 October.). doi: A. King, and FI. T.. Agerkvist, "State-Space Modeling of Loudspeakers Using Fractional Derivatives," Paper 9413, (2015 October.). doi:
Abstract: 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.

@article{king2015state-space,
author={king, alexander and agerkvist, finn t.},
journal={journal of the audio engineering society},
title={state-space modeling of loudspeakers using fractional derivatives},
year={2015},
volume={},
number={},
pages={},
doi={},
month={october},} @article{king2015state-space,
author={king, alexander and agerkvist, finn t.},
journal={journal of the audio engineering society},
title={state-space modeling of loudspeakers using fractional derivatives},
year={2015},
volume={},
number={},
pages={},
doi={},
month={october},
abstract={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.},}

TY - paper
TI - State-Space Modeling of Loudspeakers Using Fractional Derivatives
SP - EP -
AU - King, Alexander
AU - Agerkvist, Finn T.
PY - 2015
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2015 TY - paper
TI - State-Space Modeling of Loudspeakers Using Fractional Derivatives
SP - EP -
AU - King, Alexander
AU - Agerkvist, Finn T.
PY - 2015
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - October 2015
AB - 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.