Application of Wavelet Transform to Problems in Ocean Engineering

  • KWON SUN-HONG (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • LEE HEE-SUNG (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • PARK JUN-SOO (Department of Naval Architecture and Ocean Engineering, Pusan National University)
  • Published : 2003.06.01

Abstract

This study presents the results of series of studies, which are mainly devoted to the application of wavelet transforms to various problems in ocean engineering. Both continuous and discrete wavelet transforms were used. These studies attempted to solve detection of wave directionality, detection of wave profile, and decoupling of the rolling component from free roll decay tests. The results of these analysis, using wavelet transform, demonstrated that the wavelet transform can be a useful tool in analyzing many problems in the filed of ocean engineering.

Keywords

References

  1. Antoine, J.P. and Murenzi, R. (1996a). "Two-dimensional directional wavelets and the scale-angle representation", Signal Processing Vol 52, pp 259-281 https://doi.org/10.1016/0165-1684(96)00065-5
  2. Antoine, J.P. and Murenzi, R. (1996b). "The continuous wavelet transform, from 1 to 3 dimensions", in : Akansu, A.N. and Smith, M.J.T., eds., Subband and Wavelet Transforms. Design and Applications, pp 149-187
  3. Daubechies, I. (1988). "Orthogonal bases of compactly supported wavelets". Commun. on Pure and Appl. Math., Vol 41, pp 909-996 https://doi.org/10.1002/cpa.3160410705
  4. Daubechies, I. (1992). "Ten lectures on wavelets", Society for Industrial and Applied Mathematics, Philadelphia, Pensylvania
  5. Kwon, S.H., Lee, H.S., Park, J.S. and HA, M.K. (2000). " On wavelet-based algorithm for interpreting ocean wave directionality", Proceedings of Fourth Osaka Colloquium on Seakeeping Performance of Ships, pp 237-241
  6. Kwon, S.H., Lee, H.S., Lee, H.S. and Ha, M.K. (2001). "Decoupling of free decay roll data by discrete wavelet transform", International Journal of Ocean Engineering and Technology, Vol 4, No 2, pp 14-18
  7. Kwon, S.H., Lee, H.S. and Jung, D.J. (2002). "Wave profile analysis by 2D Mexican hat wavelet transform", Proceedings of the Annual Spring Meeting, SNAK, pp 182-185
  8. Newland, D.E. (1993). An introduction to random vibrations, spectral and wavelet analysis, Third Edition, Longman Publication