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Enhancement of Reconstruction Accuracy of the HELS Method

[+] Author Affiliations
Tatiana Semenova, Sean F. Wu

Wayne State University, Detroit, MI

Paper No. IMECE2002-32734, pp. 43-49; 7 pages
doi:10.1115/IMECE2002-32734
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Noise Control and Acoustics
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Noise Control and Acoustics Division
  • ISBN: 0-7918-3643-6 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

The validity of the HELS method (Wu, 2000) for reconstructing the acoustic pressure field inside the minimum circle that encloses an arbitrary object is examined. Results show that the HELS solutions are approximate and the corresponding matrix equation is ill conditioned in general for back propagation of the acoustic field. Accordingly, the further the reconstruction point moves inside the minimum circle, the worse the reconstruction accuracy becomes. To overcome this difficulty new strategy for sensor placement is proposed. This strategy together with a constrained minimization are shown to yield satisfactory reconstruction inside the minimum circle. The same procedures can be extended to three-dimensional problems.

Copyright © 2002 by ASME

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