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Superstable Models for Short-Duration Large-Domain Wave Propagation

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • Minh Q. Phan

    (Dartmouth College, Thayer School of Engineering)

  • Stephen A. Ketcham

    (Engineer Research and Development Center)

  • Richard S. Darling

    (Sound Innovations, Inc.)

  • Harley H. Cudney

    (Engineer Research and Development Center)

Abstract

This paper introduces a superstable state-space representation suitable for modeling short-duration wave propagation dynamics in large domain. The true system dimensions and the number of output nodes can be extremely large, yet one is only interested in the propagation dynamics during a relatively short time duration. The superstable model can be interpreted as a finite-time version of the standard state-space model that is equivalent to the unit pulse response model. The state-space format of the model allows to user to take advantage of extensive state-space based tools that are widely available for simulation, model reduction, dynamic inversion, Kalman filtering, etc. The practical utility of the new representation is demonstrated in modeling the acoustic propagation of a sound source in a complex city center environment.

Suggested Citation

  • Minh Q. Phan & Stephen A. Ketcham & Richard S. Darling & Harley H. Cudney, 2012. "Superstable Models for Short-Duration Large-Domain Wave Propagation," Springer Books, in: Hans Georg Bock & Xuan Phu Hoang & Rolf Rannacher & Johannes P. Schlöder (ed.), Modeling, Simulation and Optimization of Complex Processes, edition 127, pages 257-269, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-25707-0_21
    DOI: 10.1007/978-3-642-25707-0_21
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