Mode filters and energy conservation.
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.
Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA.
Ilya A
IA
Udovydchenkov
Irina I
II
Rypina
Michael G
MG
Brown
D000162:Acoustics; D016014:Linear Models; D008962:Models, Theoretical; D009038:Motion; D009792:Oceans and Seas; D011312:Pressure; D013016:Sound; D013018:Sound Spectrography; D014867:Water
D014867:Water