State-Space Modelling of Loudspeakers using Fractional Derivatives

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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
Original languageEnglish
Title of host publicationProceedings of 138th International Audio Engineering Society (AES) Convention
Number of pages10
Volume9413
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
http://www.aes.org/events/139/

Conference

Conference139th International Audio Engineering Society (AES) Convention
LocationThe Jacob Javits Center
CountryUnited States
CityNew York City
Period29/10/201501/11/2015
Internet address

Cite this

King, A. W., & Agerkvist, F. T. (2015). State-Space Modelling of Loudspeakers using Fractional Derivatives. In Proceedings of 138th International Audio Engineering Society (AES) Convention (Vol. 9413). Audio Engineering Society.