Real-time active wave control with preservation of wanted field

Sergey V. Utyuzhnikov

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In active wave control, a quite arbitrary bounded domain is protected from the field (noise), generated outside, via implementation of additional sources. The secondary sources can be situated at the boundary of the domain to be shielded. Apart from the noise, the existence of the required field, generated inside the protected domain, is also allowed. The solution to the problem is obtained in a rather general formulation. The input information to the secondary sources is based on the total field at the perimeter of the shielded domain only. In the previous publications, the input data for the control were supposed to be the total field from the primary sources. It can be proven that such a control doubles wanted sound outside the protected domain. In contrast to the previous studies, the reverse effect of the secondary sources on the input data (due to wanted sound) is taken into account. This makes the obtained solution to be more realistic for practical applications. Some limitations of the proposed approach are also discussed.

Original languageEnglish
Pages (from-to)1126-1138
Number of pages13
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume79
Issue number6
DOIs
Publication statusPublished - 5 Aug 2014
Externally publishedYes

Keywords

  • active control
  • active noise shielding
  • difference potential method
  • non-stationary problem
  • real-time
  • surface potentials

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