Mode filters and energy conservation | Zendy

Ilya A. Udovydchenkov | Zendy; Irina I. Rypina | Zendy; Michael G. Brown | Zendy

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Mode filters and energy conservation

Author(s) -

Ilya A. Udovydchenkov,

Irina I. Rypina,

Michael G. Brown

Publication year - 2010

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.619

H-Index - 187

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.3327240

Subject(s) - constraint (computer aided design) , energy conservation , mode (computer interface) , inverse problem , conservation of energy , energy (signal processing) , mathematical optimization , mathematics , inverse , conservation law , resolution (logic) , computer science , algorithm , control theory (sociology) , mathematical analysis , physics , artificial intelligence , geometry , statistics , ecology , thermodynamics , control (management) , biology , operating system

The discrete form of the mode filtering problem is considered. The relevant equations constitute a linear inverse problem. Solutions to problems of this type are subject to a well-known trade-off between resolution and precision. But unlike the typical linear inverse problem, the correctly formulated mode filtering problem is subject to an energy conservation constraint. This letter focuses on the importance of satisfying, approximately at least, the energy conservation constraint when mode filtering is performed.

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