State-Space Modeling of Loudspeakers Using Fractional Derivatives

King A, Agerkvist FT. State-Space Modeling of Loudspeakers Using Fractional Derivatives. In: AES Convention 139. Audio Engineering Society; 2015. Paper 9413. Available from: https://aes.org/publications/elibrary-page/?id=17970

@inproceedings{King2015_17970,
  author = {King, Alexander and Agerkvist, Finn T.},
  title = {{State-Space Modeling of Loudspeakers Using Fractional Derivatives}},
  booktitle = {AES Convention 139},
  note = {Paper 9413},
  year = {2015},
  month = oct,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=17970}
}

TY  - CPAPER
TI  - State-Space Modeling of Loudspeakers Using Fractional Derivatives
AU  - King, Alexander
AU  - Agerkvist, Finn T.
T2  - AES Convention 139
M1  - Paper 9413
PY  - 2015
DA  - 2015/10/06
UR  - https://aes.org/publications/elibrary-page/?id=17970
PB  - Audio Engineering Society
LA  - en
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.
ER  -