Conference paper
State-Space Modelling of Loudspeakers using Fractional Derivatives
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
Language: | English |
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Publisher: | Audio Engineering Society |
Year: | 2015 |
Proceedings: | 139th International Audio Engineering Society (AES) Convention |
Types: | Conference paper |
ORCIDs: | King, Alexander Weider and Agerkvist, Finn T. |