Real-time Active Wave Control with Preservation of Wanted Field

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    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 pages12
    JournalIMA J. of Applied Mathematics
    Issue number79
    Early online date24 Feb 2013
    Publication statusPublished - Dec 2014


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