Motor car acoustic response modelling and order reduction via balanced model truncation

Motor car acoustic response modelling and order reduction via balanced model truncation

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A novel practical application of the balanced model truncation (BMT) technique for the accurate and reduced order/complexity magnitude and phase modelling of the acoustic response of a motor car is described and demonstrated. The effectiveness and viability are illustrated through a sample car response modelling example.


    1. 1)
      • B. Beliczynski , I. Kale , G.D. Cain . Approximation of FIR by IIR digital filters: an algorithm based on balancedmodel reduction. IEEE Trans. Signal Process. , 3 , 532 - 542
    2. 2)
      • Kale, I., Cain, G.D., Salome, B., Beliczynski, B.: `Simultaneous Magnitude and group delay approximation for IIR filtersvia balanced model reduction', International Symposium on Circuits and Systems, June 1991, 1, Singapore, p. 368–371.
    3. 3)
      • Mackenzie, J.P., Kale, I., Cain, G.D.: `ARMA modelling of musical instrument sounds via balanced model truncation,to be Presented at European Conference on Circuit Theory and Design', ECCTD'95, 27-31 August 1995, Istanbul, Turkey, p. .
    4. 4)
      • Kale, I., Morling, R.C.S.: `An integrated sigma-delta codec for mobile telephone applications.Presented at 38th Midwest Symposium on Circuits and Systems', MWSCAS, 13-16 August 1995, Rio de Janeiro, p. .
    5. 5)
      • B.C. Moore . Principal component analysis in linear systems: controllability, observabilityand model reduction. IEEE Trans.Autom. Control , 1 , 17 - 31
    6. 6)
      • L. Prenobo , L.M. Silverman . Model reduction via balanced state space representation. IEEE Trans. Autom. Control , 2 , 382 - 387
    7. 7)
      • K. Glover . All optimal Hankel norm approximations of linear multivariable systemsand their L∞-error bounds. Int. J. Control , 6 , 1115 - 1193
    8. 8)
      • S. Haykin . (1996) Adaptive filter theory.

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