Journal of Applied Mathematics 
Volume 2004 (2004), Issue 5, Pages 379-394
doi:10.1155/S1110757X0430611X

A discrete wavelet analysis of freak waves in the ocean

En-Bing Lin1 and Paul C. Liu2

 1Department of Mathematics, University of Toledo, Toledo 43606, OH, USA
2Great Lakes Environmental Research Laboratory, National Oceanic and Atmospheric Administration (NOAA), Ann Arbor 48105-2945, MT, USA
Received 25 June 2003; Revised 7 June 2004

Abstract

A freak wave is a wave of very considerable height, ahead of which there is a deep trough. A case study examines some basic properties developed by performing wavelet analysis on a freak wave. We demonstrate several applications of wavelets and discrete and continuous wavelet transforms on the study of a freak wave. A modeling setting for freak waves will also be mentioned.